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                    <a href="Experiment.html"><h1 class="Course_z_off" >Introduction</h1></a>
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                       <dt>Matrix Algebra</dt>
                       <dd><a class="Course_chapter_on" href="#">Matrix Representation</a></dd>
                       <dd><a class="Course_chapter_off" href="Exp_2.html">Matrix Operation</a></dd>
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							<h1>Matrix Representation</h1>
							<p>A linear transformation is a motion in a linear space, and a matrix is a tool to describe that transformation</p>
							<p>In previous course about matrix， we know that we can derive a matrix through euqations. And matrix can also be regarded as a combination of matrix.
							Here we also give some examples and demostrations to help you review. The written representation can be:</p>
							<img src="images/Exp_matrix.png" height="130" >
							<p>To find combinations of those columns, <b>multiply</b> the matrix by a vector <i>(c,d)</i> :</p>
							<img src="images/Exp_matrix2.png" height="100" >
							<hr color="#708ACE" size=1px/>

							<p><font size="4" color=#666><b>Matrix representation of Matlab</b></font> </p>
							<p>1. Matrix elements must be in "[]";
							<br>2. The row elements of a matrix are separated by spaces or commas;
							<br>3. The rows of a matrix are separated by a semicolon or carriage return;
							<br>4. The elements of a matrix can be values, variables, expressions or functions;
							<br>5. The dimensions of the matrix don't need to be defined in advance.</p>
							<hr color="#708ACE" size=1px/>

							<p><font size="4" color=#666><b>Matlab Examples:</b></b></font> </p>
							<p>1. Direct input method</p>
							<p>The easiest way to create a matrix is to define the elements of the matrix directly using the rules above.</p>
							<p><img src="images/Exp1_matlab1.png" height="180" ></p>
							<p>2. Create a matrix using MATLAB functions:</p>
							<p>The basic matrix function is as follows:
							<br><b>(1) ones()</b> : generate a matrix with all ones ;
							<br> &nbsp &nbsp <b>ones(m,n)</b> : generate a matrix with all ones in m*n dimension;
							<br><b>(2) zeros()</b> : generate a matrix with all zeros;
							<img src="images/ones.png" height="170" >
							<br><b>(3) eye()</b> :  generate the unit matrix;
							<img src="images/eye.png" height="190" >
							<br><b>(4) rand()</b> : generate a random matrix uniformly distributed in the interval (0,1);
							<br><b>(5) randn()</b> : generate standard normal distribution random matrix with mean value of 0 and variance of 1.</p>
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