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<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="API documentation for the Rust `Matrix` trait in crate `cgmath`."><meta name="keywords" content="rust, rustlang, rust-lang, Matrix"><title>cgmath::prelude::Matrix - Rust</title><link rel="stylesheet" type="text/css" href="../../normalize.css"><link rel="stylesheet" type="text/css" href="../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" type="text/css" href="../../dark.css"><link rel="stylesheet" type="text/css" href="../../light.css" id="themeStyle"><script src="../../storage.js"></script><noscript><link rel="stylesheet" href="../../noscript.css"></noscript><link rel="shortcut icon" href="../../favicon.ico"><style type="text/css">#crate-search{background-image:url("../../down-arrow.svg");}</style></head><body class="rustdoc trait"><!--[if lte IE 8]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"><div class="sidebar-menu">☰</div><a href='../../cgmath/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Trait Matrix</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#associated-types">Associated Types</a><div class="sidebar-links"><a href="#associatedtype.Row">Row</a><a href="#associatedtype.Column">Column</a><a href="#associatedtype.Transpose">Transpose</a></div><a class="sidebar-title" href="#required-methods">Required Methods</a><div class="sidebar-links"><a href="#tymethod.row">row</a><a href="#tymethod.swap_columns">swap_columns</a><a href="#tymethod.swap_elements">swap_elements</a><a href="#tymethod.swap_rows">swap_rows</a><a href="#tymethod.transpose">transpose</a></div><a class="sidebar-title" href="#provided-methods">Provided Methods</a><div class="sidebar-links"><a href="#method.as_mut_ptr">as_mut_ptr</a><a href="#method.as_ptr">as_ptr</a><a href="#method.replace_col">replace_col</a></div><a class="sidebar-title" href="#implementors">Implementors</a></div><p class='location'><a href='../index.html'>cgmath</a>::<wbr><a href='index.html'>prelude</a></p><script>window.sidebarCurrent = {name: 'Matrix', ty: 'trait', relpath: ''};</script><script defer src="sidebar-items.js"></script></div></nav><div class="theme-picker"><button id="theme-picker" aria-label="Pick another theme!"><img src="../../brush.svg" width="18" alt="Pick another theme!"></button><div id="theme-choices"></div></div><script src="../../theme.js"></script><nav class="sub"><form class="search-form js-only"><div class="search-container"><div><select id="crate-search"><option value="All crates">All crates</option></select><input class="search-input" name="search" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"></div><a id="settings-menu" href="../../settings.html"><img src="../../wheel.svg" width="18" alt="Change settings"></a></div></form></nav><section id="main" class="content"><h1 class='fqn'><span class='out-of-band'><span id='render-detail'><a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class='inner'>−</span>]</a></span><a class='srclink' href='../../src/cgmath/structure.rs.html#428-480' title='goto source code'>[src]</a></span><span class='in-band'>Trait <a href='../index.html'>cgmath</a>::<wbr><a href='index.html'>prelude</a>::<wbr><a class="trait" href=''>Matrix</a></span></h1><div class="docblock type-decl hidden-by-usual-hider"><pre class='rust trait'>pub trait Matrix: <a class="trait" href="../../cgmath/prelude/trait.VectorSpace.html" title="trait cgmath::prelude::VectorSpace">VectorSpace</a> <span class="where fmt-newline">where<br> Self::<a class="type" href="../../cgmath/prelude/trait.VectorSpace.html#associatedtype.Scalar" title="type cgmath::prelude::VectorSpace::Scalar">Scalar</a>: <a class="trait"
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type <a href='#associatedtype.Row' class="type">Row</a>: <a class="trait" href="../../cgmath/prelude/trait.VectorSpace.html" title="trait cgmath::prelude::VectorSpace">VectorSpace</a><Scalar = Self::<a class="type" href="../../cgmath/prelude/trait.VectorSpace.html#associatedtype.Scalar" title="type cgmath::prelude::VectorSpace::Scalar">Scalar</a>> + <a class="trait" href="../../cgmath/prelude/trait.Array.html" title="trait cgmath::prelude::Array">Array</a><Element = Self::<a class="type" href="../../cgmath/prelude/trait.VectorSpace.html#associatedtype.Scalar" title="type cgmath::prelude::VectorSpace::Scalar">Scalar</a>>;
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type <a href='#associatedtype.Column' class="type">Column</a>: <a class="trait" href="../../cgmath/prelude/trait.VectorSpace.html" title="trait cgmath::prelude::VectorSpace">VectorSpace</a><Scalar = Self::<a class="type" href="../../cgmath/prelude/trait.VectorSpace.html#associatedtype.Scalar" title="type cgmath::prelude::VectorSpace::Scalar">Scalar</a>> + <a class="trait" href="../../cgmath/prelude/trait.Array.html" title="trait cgmath::prelude::Array">Array</a><Element = Self::<a class="type" href="../../cgmath/prelude/trait.VectorSpace.html#associatedtype.Scalar" title="type cgmath::prelude::VectorSpace::Scalar">Scalar</a>>;
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type <a href='#associatedtype.Transpose' class="type">Transpose</a>: <a class="trait" href="../../cgmath/prelude/trait.Matrix.html" title="trait cgmath::prelude::Matrix">Matrix</a><Scalar = Self::<a class="type" href="../../cgmath/prelude/trait.VectorSpace.html#associatedtype.Scalar" title="type cgmath::prelude::VectorSpace::Scalar">Scalar</a>, Row = Self::<a class="type" href="../../cgmath/prelude/trait.Matrix.html#associatedtype.Column" title="type cgmath::prelude::Matrix::Column">Column</a>, Column = Self::<a class="type" href="../../cgmath/prelude/trait.Matrix.html#associatedtype.Row" title="type cgmath::prelude::Matrix::Row">Row</a>>;
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fn <a href='#tymethod.row' class='fnname'>row</a>(&self, r: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>) -> Self::<a class="type" href="../../cgmath/prelude/trait.Matrix.html#associatedtype.Row" title="type cgmath::prelude::Matrix::Row">Row</a>;
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<div class='item-spacer'></div> fn <a href='#tymethod.swap_rows' class='fnname'>swap_rows</a>(&mut self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>);
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<div class='item-spacer'></div> fn <a href='#tymethod.swap_columns' class='fnname'>swap_columns</a>(&mut self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>);
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<div class='item-spacer'></div> fn <a href='#tymethod.swap_elements' class='fnname'>swap_elements</a>(&mut self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>);
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<div class='item-spacer'></div> fn <a href='#tymethod.transpose' class='fnname'>transpose</a>(&self) -> Self::<a class="type" href="../../cgmath/prelude/trait.Matrix.html#associatedtype.Transpose" title="type cgmath::prelude::Matrix::Transpose">Transpose</a>;
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fn <a href='#method.as_ptr' class='fnname'>as_ptr</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.pointer.html">*const </a>Self::<a class="type" href="../../cgmath/prelude/trait.VectorSpace.html#associatedtype.Scalar" title="type cgmath::prelude::VectorSpace::Scalar">Scalar</a> { ... }
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<div class='item-spacer'></div> fn <a href='#method.as_mut_ptr' class='fnname'>as_mut_ptr</a>(&mut self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.pointer.html">*mut </a>Self::<a class="type" href="../../cgmath/prelude/trait.VectorSpace.html#associatedtype.Scalar" title="type cgmath::prelude::VectorSpace::Scalar">Scalar</a> { ... }
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<div class='item-spacer'></div> fn <a href='#method.replace_col' class='fnname'>replace_col</a>(&mut self, c: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, src: Self::<a class="type" href="../../cgmath/prelude/trait.Matrix.html#associatedtype.Column" title="type cgmath::prelude::Matrix::Column">Column</a>) -> Self::<a class="type" href="../../cgmath/prelude/trait.Matrix.html#associatedtype.Column" title="type cgmath::prelude::Matrix::Column">Column</a> { ... }
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}</pre></div><div class='docblock'><p>A column-major matrix of arbitrary dimensions.</p>
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<p>Because this is constrained to the <code>VectorSpace</code> trait, this means that
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following operators are required to be implemented:</p>
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<p>Matrix addition:</p>
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<ul>
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<li><code>Add<Output = Self></code></li>
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<li><code>Sub<Output = Self></code></li>
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<li><code>Neg<Output = Self></code></li>
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</ul>
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<p>Scalar multiplication:</p>
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<ul>
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<li><code>Mul<Self::Scalar, Output = Self></code></li>
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<li><code>Div<Self::Scalar, Output = Self></code></li>
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<li><code>Rem<Self::Scalar, Output = Self></code></li>
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</ul>
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<p>Note that matrix multiplication is not required for implementors of this
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trait. This is due to the complexities of implementing these operators with
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Rust's current type system. For the multiplication of square matrices,
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see <code>SquareMatrix</code>.</p>
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</div>
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<h2 id='associated-types' class='small-section-header'>Associated Types<a href='#associated-types' class='anchor'></a></h2><div class='methods'><h3 id='associatedtype.Row' class='method'><code id='Row.t'>type <a href='#associatedtype.Row' class="type">Row</a>: <a class="trait" href="../../cgmath/prelude/trait.VectorSpace.html" title="trait cgmath::prelude::VectorSpace">VectorSpace</a><Scalar = Self::<a class="type" href="../../cgmath/prelude/trait.VectorSpace.html#associatedtype.Scalar" title="type cgmath::prelude::VectorSpace::Scalar">Scalar</a>> + <a class="trait" href="../../cgmath/prelude/trait.Array.html" title="trait cgmath::prelude::Array">Array</a><Element = Self::<a class="type" href="../../cgmath/prelude/trait.VectorSpace.html#associatedtype.Scalar" title="type cgmath::prelude::VectorSpace::Scalar">Scalar</a>></code></h3><div class='docblock'><p>The row vector of the matrix.</p>
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</div><h3 id='associatedtype.Column' class='method'><code id='Column.t'>type <a href='#associatedtype.Column' class="type">Column</a>: <a class="trait" href="../../cgmath/prelude/trait.VectorSpace.html" title="trait cgmath::prelude::VectorSpace">VectorSpace</a><Scalar = Self::<a class="type" href="../../cgmath/prelude/trait.VectorSpace.html#associatedtype.Scalar" title="type cgmath::prelude::VectorSpace::Scalar">Scalar</a>> + <a class="trait" href="../../cgmath/prelude/trait.Array.html" title="trait cgmath::prelude::Array">Array</a><Element = Self::<a class="type" href="../../cgmath/prelude/trait.VectorSpace.html#associatedtype.Scalar" title="type cgmath::prelude::VectorSpace::Scalar">Scalar</a>></code></h3><div class='docblock'><p>The column vector of the matrix.</p>
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</div><h3 id='associatedtype.Transpose' class='method'><code id='Transpose.t'>type <a href='#associatedtype.Transpose' class="type">Transpose</a>: <a class="trait" href="../../cgmath/prelude/trait.Matrix.html" title="trait cgmath::prelude::Matrix">Matrix</a><Scalar = Self::<a class="type" href="../../cgmath/prelude/trait.VectorSpace.html#associatedtype.Scalar" title="type cgmath::prelude::VectorSpace::Scalar">Scalar</a>, Row = Self::<a class="type" href="../../cgmath/prelude/trait.Matrix.html#associatedtype.Column" title="type cgmath::prelude::Matrix::Column">Column</a>, Column = Self::<a class="type" href="../../cgmath/prelude/trait.Matrix.html#associatedtype.Row" title="type cgmath::prelude::Matrix::Row">Row</a>></code></h3><div class='docblock'><p>The result of transposing the matrix</p>
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</div></div><span class='loading-content'>Loading content...</span>
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<h2 id='required-methods' class='small-section-header'>Required methods<a href='#required-methods' class='anchor'></a></h2><div class='methods'><h3 id='tymethod.row' class='method'><code id='row.v'>fn <a href='#tymethod.row' class='fnname'>row</a>(&self, r: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>) -> Self::<a class="type" href="../../cgmath/prelude/trait.Matrix.html#associatedtype.Row" title="type cgmath::prelude::Matrix::Row">Row</a></code></h3><div class='docblock'><p>Get a row from this matrix by-value.</p>
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</div><h3 id='tymethod.swap_rows' class='method'><code id='swap_rows.v'>fn <a href='#tymethod.swap_rows' class='fnname'>swap_rows</a>(&mut self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>)</code></h3><div class='docblock'><p>Swap two rows of this array.</p>
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</div><h3 id='tymethod.swap_columns' class='method'><code id='swap_columns.v'>fn <a href='#tymethod.swap_columns' class='fnname'>swap_columns</a>(&mut self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>)</code></h3><div class='docblock'><p>Swap two columns of this array.</p>
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</div><h3 id='tymethod.swap_elements' class='method'><code id='swap_elements.v'>fn <a href='#tymethod.swap_elements' class='fnname'>swap_elements</a>(&mut self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>)</code></h3><div class='docblock'><p>Swap the values at index <code>a</code> and <code>b</code></p>
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</div><h3 id='tymethod.transpose' class='method'><code id='transpose.v'>fn <a href='#tymethod.transpose' class='fnname'>transpose</a>(&self) -> Self::<a class="type" href="../../cgmath/prelude/trait.Matrix.html#associatedtype.Transpose" title="type cgmath::prelude::Matrix::Transpose">Transpose</a></code></h3><div class='docblock'><p>Transpose this matrix, returning a new matrix.</p>
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</div></div><span class='loading-content'>Loading content...</span>
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<h2 id='provided-methods' class='small-section-header'>Provided methods<a href='#provided-methods' class='anchor'></a></h2><div class='methods'><h3 id='method.as_ptr' class='method'><code id='as_ptr.v'>fn <a href='#method.as_ptr' class='fnname'>as_ptr</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.pointer.html">*const </a>Self::<a class="type" href="../../cgmath/prelude/trait.VectorSpace.html#associatedtype.Scalar" title="type cgmath::prelude::VectorSpace::Scalar">Scalar</a></code></h3><div class='docblock'><p>Get the pointer to the first element of the array.</p>
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</div><h3 id='method.as_mut_ptr' class='method'><code id='as_mut_ptr.v'>fn <a href='#method.as_mut_ptr' class='fnname'>as_mut_ptr</a>(&mut self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.pointer.html">*mut </a>Self::<a class="type" href="../../cgmath/prelude/trait.VectorSpace.html#associatedtype.Scalar" title="type cgmath::prelude::VectorSpace::Scalar">Scalar</a></code></h3><div class='docblock'><p>Get a mutable pointer to the first element of the array.</p>
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</div><h3 id='method.replace_col' class='method'><code id='replace_col.v'>fn <a href='#method.replace_col' class='fnname'>replace_col</a>(&mut self, c: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, src: Self::<a class="type" href="../../cgmath/prelude/trait.Matrix.html#associatedtype.Column" title="type cgmath::prelude::Matrix::Column">Column</a>) -> Self::<a class="type" href="../../cgmath/prelude/trait.Matrix.html#associatedtype.Column" title="type cgmath::prelude::Matrix::Column">Column</a></code></h3><div class='docblock'><p>Replace a column in the array.</p>
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</div></div><span class='loading-content'>Loading content...</span>
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<h2 id='implementors' class='small-section-header'>Implementors<a href='#implementors' class='anchor'></a></h2><div class='item-list' id='implementors-list'><h3 id='impl-Matrix' class='impl'><code class='in-band'>impl<S: <a class="trait" href="../../cgmath/trait.BaseFloat.html" title="trait cgmath::BaseFloat">BaseFloat</a>> Matrix for <a class="struct" href="../../cgmath/struct.Matrix2.html" title="struct cgmath::Matrix2">Matrix2</a><S></code><a href='#impl-Matrix' class='anchor'></a><a class='srclink' href='../../src/cgmath/matrix.rs.html#468-503' title='goto source code'>[src]</a></h3><div class='impl-items'><h4 id='associatedtype.Column-1' class="type"><code id='Column.t-1'>type <a href='#associatedtype.Column-1' class="type">Column</a> = <a class="struct" href="../../cgmath/struct.Vector2.html" title="struct cgmath::Vector2">Vector2</a><S></code></h4><h4 id='associatedtype.Row-1' class="type"><code id='Row.t-1'>type <a href='#associatedtype.Row-1' class="type">Row</a> = <a class="struct" href="../../cgmath/struct.Vector2.html" title="struct cgmath::Vector2">Vector2</a><S></code></h4><h4 id='associatedtype.Transpose-1' class="type"><code id='Transpose.t-1'>type <a href='#associatedtype.Transpose-1' class="type">Transpose</a> = <a class="struct" href="../../cgmath/struct.Matrix2.html" title="struct cgmath::Matrix2">Matrix2</a><S></code></h4><h4 id='method.row' class="method hidden"><code id='row.v-1'>fn <a href='#method.row' class='fnname'>row</a>(&self, r: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>) -> <a class="struct" href="../../cgmath/struct.Vector2.html" title="struct cgmath::Vector2">Vector2</a><S></code><a class='srclink' href='../../src/cgmath/matrix.rs.html#474-476' title='goto source code'>[src]</a></h4><h4 id='method.swap_rows' class="method hidden"><code id='swap_rows.v-1'>fn <a href='#method.swap_rows' class='fnname'>swap_rows</a>(&mut self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>)</code><a class='srclink' href='../../src/cgmath/matrix.rs.html#479-482' title='goto source code'>[src]</a></h4><h4 id='method.swap_columns' class="method hidden"><code id='swap_columns.v-1'>fn <a href='#method.swap_columns' class='fnname'>swap_columns</a>(&mut self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>)</code><a class='srclink' href='../../src/cgmath/matrix.rs.html#485-487' title='goto source code'>[src]</a></h4><h4 id='method.swap_elements' class="method hidden"><code id='swap_elements.v-1'>fn <a href='#method.swap_elements' class='fnname'>swap_elements</a>(&mut self, a: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>, b: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">(</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.tuple.html">)</a>)</code><a class='srclink' href='../../src/cgmath/matrix.rs.html#490-494' title='goto source code'>[src]</a></h4><h4 id='method.transpose' class="method hidden"><code id='transpose.v-1'>fn <a href='#method.transpose' class='fnname'>transpose</a>(&self) -> <a class="struct" href="../../cgmath/struct.Matrix2.html" title="struct cgmath::Matrix2">Matrix2</a><S><
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