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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 `SquareMatrix` trait in crate `alga`."><meta name="keywords" content="rust, rustlang, rust-lang, SquareMatrix"><title>alga::linear::SquareMatrix - 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">&#9776;</div><a href='../../alga/index.html'><div class='logo-container'><img src='../../rust-logo.png' alt='logo'></div></a><p class='location'>Trait SquareMatrix</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.Vector">Vector</a></div><a class="sidebar-title" href="#required-methods">Required Methods</a><div class="sidebar-links"><a href="#tymethod.determinant">determinant</a><a href="#tymethod.diagonal">diagonal</a><a href="#tymethod.try_inverse">try_inverse</a></div><a class="sidebar-title" href="#provided-methods">Provided Methods</a><div class="sidebar-links"><a href="#method.dimension">dimension</a><a href="#method.transpose_mut">transpose_mut</a></div><a class="sidebar-title" href="#implementors">Implementors</a></div><p class='location'><a href='../index.html'>alga</a>::<wbr><a href='index.html'>linear</a></p><script>window.sidebarCurrent = {name: 'SquareMatrix', 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'>&#x2212;</span>]</a></span><a class='srclink' href='../../src/alga/linear/matrix.rs.html#90-122' title='goto source code'>[src]</a></span><span class='in-band'>Trait <a href='../index.html'>alga</a>::<wbr><a href='index.html'>linear</a>::<wbr><a class="trait" href=''>SquareMatrix</a></span></h1><div class="docblock type-decl hidden-by-usual-hider"><pre class='rust trait'>pub trait SquareMatrix: <a class="trait" href="../../alga/linear/trait.Matrix.html" title="trait alga::linear::Matrix">Matrix</a>&lt;Row = Self::<a class="type" href="../../alga/linear/trait.SquareMatrix.html#associatedtype.Vector" title="type alga::linear::SquareMatrix::Vector">Vector</a>, Column = Self::<a class="type" href="../../alga/linear/trait.SquareMatrix.html#associatedtype.Vector" title="type alga::linear::SquareMatrix::Vector">Vector</a>, Transpose = Self&gt; + <a class="trait" href="../../alga/general/trait.MultiplicativeMonoid.html" title="trait alga::general::MultiplicativeMonoid">MultiplicativeMonoid</a> {
type <a href='#associatedtype.Vector' class="type">Vector</a>: <a class="trait" href="../../alga/linear/trait.FiniteDimVectorSpace.html" title="trait alga::linear::FiniteDimVectorSpace">FiniteDimVectorSpace</a>&lt;Field = Self::<a class="type" href="../../alga/linear/trait.Matrix.html#associatedtype.Field" title="type alga::linear::Matrix::Field">Field</a>&gt;;
fn <a href='#tymethod.diagonal' class='fnname'>diagonal</a>(&amp;self) -&gt; Self::<a class="type" href="../../alga/linear/trait.SquareMatrix.html#associatedtype.Vector" title="type alga::linear::SquareMatrix::Vector">Vector</a>;
<div class='item-spacer'></div> fn <a href='#tymethod.determinant' class='fnname'>determinant</a>(&amp;self) -&gt; Self::<a class="type" href="../../alga/linear/trait.Matrix.html#associatedtype.Field" title="type alga::linear::Matrix::Field">Field</a>;
<div class='item-spacer'></div> fn <a href='#tymethod.try_inverse' class='fnname'>try_inverse</a>(&amp;self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;Self&gt;;
fn <a href='#method.dimension' class='fnname'>dimension</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a> { ... }
<div class='item-spacer'></div> fn <a href='#method.transpose_mut' class='fnname'>transpose_mut</a>(&amp;mut self) { ... }
}</pre></div><div class='docblock'><p>The monoid of all square matrices, including non-inversible ones.</p>
</div>
<h2 id='associated-types' class='small-section-header'>Associated Types<a href='#associated-types' class='anchor'></a></h2><div class='methods'><h3 id='associatedtype.Vector' class='method'><code id='Vector.t'>type <a href='#associatedtype.Vector' class="type">Vector</a>: <a class="trait" href="../../alga/linear/trait.FiniteDimVectorSpace.html" title="trait alga::linear::FiniteDimVectorSpace">FiniteDimVectorSpace</a>&lt;Field = Self::<a class="type" href="../../alga/linear/trait.Matrix.html#associatedtype.Field" title="type alga::linear::Matrix::Field">Field</a>&gt;</code></h3><div class='docblock'><p>The type of rows, column, and diagonal of this matrix.</p>
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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.diagonal' class='method'><code id='diagonal.v'>fn <a href='#tymethod.diagonal' class='fnname'>diagonal</a>(&amp;self) -&gt; Self::<a class="type" href="../../alga/linear/trait.SquareMatrix.html#associatedtype.Vector" title="type alga::linear::SquareMatrix::Vector">Vector</a></code></h3><div class='docblock'><p>The diagonal of this matrix.</p>
</div><h3 id='tymethod.determinant' class='method'><code id='determinant.v'>fn <a href='#tymethod.determinant' class='fnname'>determinant</a>(&amp;self) -&gt; Self::<a class="type" href="../../alga/linear/trait.Matrix.html#associatedtype.Field" title="type alga::linear::Matrix::Field">Field</a></code></h3><div class='docblock'><p>The determinant of this matrix.</p>
</div><h3 id='tymethod.try_inverse' class='method'><code id='try_inverse.v'>fn <a href='#tymethod.try_inverse' class='fnname'>try_inverse</a>(&amp;self) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a>&lt;Self&gt;</code></h3><div class='docblock'><p>Attempts to two_sided_inverse <code>self</code>.</p>
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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.dimension' class='method'><code id='dimension.v'>fn <a href='#method.dimension' class='fnname'>dimension</a>(&amp;self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></code></h3><div class='docblock'><p>The number of rows or column of this matrix.</p>
</div><h3 id='method.transpose_mut' class='method'><code id='transpose_mut.v'>fn <a href='#method.transpose_mut' class='fnname'>transpose_mut</a>(&amp;mut self)</code></h3><div class='docblock'><p>In-place transposition.</p>
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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'></div><span class='loading-content'>Loading content...</span><script type="text/javascript">window.inlined_types=new Set([]);</script><script type="text/javascript" async
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