a:5:{s:8:"template";s:8138:"<!DOCTYPE html>
<html lang="en-US">

<head>
<meta charset="utf-8"/>
<meta content="width=device-width" name="viewport"/>
<title>{{ keyword }}</title>
<link href="http://gmpg.org/xfn/11" rel="profile"/>


<link href="http://fonts.googleapis.com/css?family=Open+Sans:400italic,700italic,400,700&amp;subset=latin,latin-ext" id="twentytwelve-fonts-css" media="all" rel="stylesheet" type="text/css"/>
<style id="twentytwelve-style-css" media="all" rel="stylesheet" type="text/css">/*



/* =Reset
-------------------------------------------------------------- */

html, body, div, h1, h2, h3, a, ul, li, footer, header, hgroup, nav {
	margin: 0;
	padding: 0;
	border: 0;
	font-size: 100%;
	vertical-align: baseline;
}
body {
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ul {
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h1,
h2,
h3 {
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}
html {
	overflow-y: scroll;
	font-size: 100%;
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	-ms-text-size-adjust: 100%;
}
a:focus {
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}
footer,
header,
hgroup,
nav {
	display: block;
}

/* Clearing floats */
.wrapper:after {
	clear: both;
}
.wrapper:before,
.wrapper:after {
	display: table;
	content: "";
}


.menu-toggle {
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.menu-toggle {
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.menu-toggle:hover {
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/* Body, links, basics */
html {
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}
body {
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	font-size: 1rem;
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}
body.custom-font-enabled {
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a {
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}
a:hover {
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}

/* Assistive text */
.assistive-text {
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	clip: rect(1px, 1px, 1px, 1px);
}
.main-navigation .assistive-text:hover,
.main-navigation .assistive-text:active,
.main-navigation .assistive-text:focus {
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	border: 2px solid #333;
	border-radius: 3px;
	clip: auto !important;
	color: #000;
	display: block;
	font-size: 12px;
	padding: 12px;
	position: absolute;
	top: 5px;
	left: 5px;
	z-index: 100000; /* Above WP toolbar */
}

/* Page structure */
.site {
	padding: 0 24px;
	padding: 0 1.714285714rem;
	background-color: #fff;
}

/* Header */
.site-header {
	padding: 24px 0;
	padding: 1.714285714rem 0;
}
.site-header h1,
.site-header h2 {
	text-align: center;
}
.site-header h1 a {
	color: #515151;
	display: inline-block;
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}
.site-header h1 a:hover {
	color: #21759b;
}
.site-header h1 {
	font-size: 24px;
	font-size: 1.714285714rem;
	line-height: 1.285714286;
	margin-bottom: 14px;
	margin-bottom: 1rem;
}
.site-header h2 {
	font-weight: normal;
	font-size: 13px;
	font-size: 0.928571429rem;
	line-height: 1.846153846;
	color: #757575;
}

/* Navigation Menu */
.main-navigation {
	margin-top: 24px;
	margin-top: 1.714285714rem;
	text-align: center;
}
.main-navigation li {
	margin-top: 24px;
	margin-top: 1.714285714rem;
	font-size: 12px;
	font-size: 0.857142857rem;
	line-height: 1.42857143;
}
.main-navigation a {
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}
.main-navigation a:hover {
	color: #21759b;
}
.main-navigation div.nav-menu > ul {
	display: none;
}
.menu-toggle {
	display: inline-block;
}

/* Banner */

/* Sidebar */

/* Footer */
footer[role="contentinfo"] {
	border-top: 1px solid #ededed;
	clear: both;
	font-size: 12px;
	font-size: 0.857142857rem;
	line-height: 2;
	max-width: 960px;
	max-width: 68.571428571rem;
	margin-top: 24px;
	margin-top: 1.714285714rem;
	margin-left: auto;
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	padding: 24px 0;
	padding: 1.714285714rem 0;
}
footer[role="contentinfo"] a {
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footer[role="contentinfo"] a:hover {
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/* Minimum width of 600 pixels. */
@media screen and (min-width: 600px) {
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		max-width: 960px;
		max-width: 68.571428571rem;
		overflow: hidden;
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	.site-header h1,
	.site-header h2 {
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		line-height: 1.846153846;
		margin-bottom: 0;
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	.main-navigation div.nav-menu > ul {
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		border-top: 1px solid #ededed;
		display: inline-block !important;
		text-align: left;
		width: 100%;
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	.main-navigation ul {
		margin: 0;
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	.main-navigation li a,
	.main-navigation li {
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	.main-navigation li a {
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	.main-navigation li a:hover {
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	.main-navigation li {
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		margin: 0 2.857142857rem 0 0;
		position: relative;
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	.menu-toggle {
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}

/* Minimum width of 960 pixels. */
@media screen and (min-width: 960px) {
	body {
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	body .site {
		padding: 0 40px;
		padding: 0 2.857142857rem;
		margin-top: 48px;
		margin-top: 3.428571429rem;
		margin-bottom: 48px;
		margin-bottom: 3.428571429rem;
		box-shadow: 0 2px 6px rgba(100, 100, 100, 0.3);
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}


/* =Print
----------------------------------------------- */

@media print {
	body {
		background: none !important;
		color: #000;
		font-size: 10pt;
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	a {
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	.site {
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		position: relative !important;
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	.site-header {
		margin-bottom: 72px;
		margin-bottom: 5.142857143rem;
		text-align: left;
	}
	.site-header h1 {
		font-size: 21pt;
		line-height: 1;
		text-align: left;
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	.site-header h2 {
		color: #000;
		font-size: 10pt;
		text-align: left;
	}
	.site-header h1 a {
		color: #000;
	}
	#colophon,
	.main-navigation {
		display: none;
	}
	.wrapper {
		border-top: none;
		box-shadow: none;
	}
}
</style>


<style type="text/css">.recentcomments a{display:inline !important;padding:0 !important;margin:0 !important;}</style>
</head>
<body class="custom-font-enabled single-author">
<div class="hfeed site" id="page">
<header class="site-header" id="masthead" role="banner">
<hgroup>
<h1 class="site-title"><a href="#" rel="home" title="{{ keyword }}">{{ keyword }}</a></h1>
<h2 class="site-description">Just another WordPress site</h2>
</hgroup>
<nav class="main-navigation" id="site-navigation" role="navigation">
<h3 class="menu-toggle">Menu</h3>
<a class="assistive-text" href="#" title="Skip to content">Skip to content</a>
<div class="nav-menu"><ul><li><a href="#" title="Home">Home</a></li><li class="page_item page-item-2"><a href="#">Sample Page</a></li></ul></div>
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<div class="wrapper" id="main">
{{ text }}
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{{ links }}
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</body>
</html>";s:4:"text";s:5486:"ELEMENTARY MATRICES 41 identity matrix in which rows i and j have been interchanged. How to Find the Inverse of a 3x3 Matrix. So, I 2 = $\begin{bmatrix} 1 &0 \\ 0 & 1 \end{bmatrix}$ ... of the adjugate matrix results in the adjugate matrix itself. What is the inverse of identity matrix? ... so it is with the identity matrix. Inverse matrices Recall the economy problem: total production of coalB ... identity matrix . Identity Matrix Inverse. What is the inverse of identity matrix? Does it become itself after we inverse it? Does it become itself after we inverse it? ... where I is the identity matrix whose order ... (A-1)-1 = A, i.e. Where as I am sure there was some method where you could iterate and it 'converged' to the inverse matrix, ... inverse matrix itself. An identity matrix in Matlab is produced by the A summary of The Identity Matrix in 's Matrices. 36 LECTURE 8. Purplemath. Now we do our best to turn "A" (the Matrix on the left) into an Identity Matrix. (The identity matrix itself is ... vector space to itself, I n represents the identity ... the inverse of one another. Inverse and Elementary Matrices 1. A matrix multiplied by it's inverse is the ... multiplied by the identity matrix is itself. Inverse: The inverse of the identity is itself. ... matrix times its transpose equals the identity matrix? What is the identity matrix? A =A . Transpose and Inverse. ... Matrix Inverse. can be read as saying A times column j of A1 equals column j of the identity matrix. The Inverse of a Matrix is the same idea but we write it A-1. Inverse Matrix. Matrix Algebra. How can i show that: $II^{-1} = I = I^{-1}I$ (the identity matrix is invertible) for all cases. When solving equations like 8x=72, you can use the ERAA and multiply both sides of the equation by the multiplicative inverse |I|= 1. It is denoted by In, or simply by I if the size is immaterial or can be A matrix multiplied by its matching identity matrix is itself. ... On this page I have illustrated how multiplication of a matrix with it's inverse results in an identity matrix. ... then the inverse of A 1 is A itself. MATRICES AND MATRIX OPERATIONS IN MATLAB for any matrix Aor vector v where the sizes match. It then uses the results to form a linear system whose solution is the matrix inverse inv(X). The matrix which when multiplied by the original matrix gives the identity matrix as the solution. A=A. Video: How to Solve Inverse Matrices. Does it become itself after we inverse it? For determining the Inverse of an identity matrix, let us take I 2 as a given 2x2 Identity matrix. Inverse Matrices 81 ... We look for an inverse matrix A 1 of the same size, ... Their product is the identity matrixwhich does nothing to a vector Inverse matrices Recall the economy problem: total production of coalB ... identity matrix . That is, outside of the identity matrix itself. Learn exactly what happened in this chapter, scene, or section of Matrices and what it means.  If this is the case, then the matrix B is uniquely determined by A and is called the inverse of A, denoted by A1. What is the inverse of identity matrix? Transpose and Inverse. A square matrix that is not invertible is called singular or degenerate. Matrices, transposes, and inverses ... Denition The identity matrix, ... How do we isolate the vector by itself on LHS?x The notion of inverse Well actually you can prove it also by using the property of the identity matrix: [math]I_d . In linear algebra, the identity matrix, or sometimes ambiguously called a unit matrix, of size n is the n  n square matrix with ones on the main diagonal and zeros elsewhere. And the point of the identity matrix is that IX = X for any matrix X ... "Matrix Inversion: Finding the Inverse of a Matrix." And then proof that: $I^{-1} = I$ (The inverse of the identity is the identity). When these are multiplied the result is not an identity matrix. inverse of an inverse matrix is the matrix itself. The 'transpose' of a matrix is often referenced, but what does is mean? Proof: The identity matrix is invertible and the inverse of the identity is the identity. For Those Inclined to Prove Things Prove that the n x n identity has all the above properties. So, I 2 = $\begin{bmatrix} 1 &0 \\ 0 & 1 \end{bmatrix}$ A matrix multiplied by its matching identity matrix is itself. Determinant: The determinant of the identity matrix is one. I_d[/math] for all A (assuming no dimension issue) and especially for [math]A=I_d^{-1}[/math]. ... Multiplication and Inverse Matrices Author: Heidi Burgiel When we multiply a Matrix by its Inverse we get the Identity Matrix (which is like "1" for Matrices): Since the inverse of an elementary matrix is itself an elementary matrix, Matrices, transposes, and inverses ... Denition The identity matrix, denoted In ... How do we isolate the vector by itself on LHS?x The notion of inverse Video: How to Solve Inverse Matrices. Inverse and Elementary Matrices 1. ... so it is with the identity matrix. The inverse of a square matrix A, sometimes called a reciprocal matrix, is a matrix A^(-1) such that AA^(-1)=I, (1) where I is the identity matrix. For determining the Inverse of an identity matrix, let us take I 2 as a given 2x2 Identity matrix. ... if its transpose is equal to its inverse: where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication. If we preform K on the identity, we get the inverse. 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