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Matrix
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2 x 4 No<span></span> </li><li><img width="121" height="63" src="file:///C:/Users/Satis/AppData/Local/Temp/msohtmlclip1/01/clip_image004.gif" v:shapes="_x0000_i1025"> 3 x 3 A square matrix<span></span> </li><li><img width="138" height="25" src="file:///C:/Users/Satis/AppData/Local/Temp/msohtmlclip1/01/clip_image006.gif" v:shapes="_x0000_i1025"> 1 x 4 No<span></span> </li><li><img width="XX" height="41" src="file:///C:/Users/Satis/XXXXXXX/XXXXX/Temp/XXXXXXXXXXXX/01/XXXXXXXXXXXXX.XXX" v:XXXXXX="XXXXXXXXXXXX"> 2 x X A XXXXXX matrix<span></span> </li><li>[X] X x 1 A square XXXXXX<span></span> </li></XX> <p> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p> </p> <p>XX. Given matrices: </p> <p>X = <img width="134" XXXXXX="XX" XXX="file:///X:/XXXXX/XXXXX/AppData/XXXXX/Temp/XXXXXXXXXXXX/01/XXXXXXXXXXXXX.gif" v:shapes="XXXXXXXXXXXX"> B = <XXX width="XXX" height="86" src="XXXX:///C:/XXXXX/XXXXX/XXXXXXX/XXXXX/XXXX/XXXXXXXXXXXX/XX/XXXXXXXXXXXXX.gif" v:XXXXXX="_x0000_i1025"> C = <XXX width="95" XXXXXX="25" XXX="XXXX:///C:/XXXXX/Satis/XXXXXXX/Local/Temp/XXXXXXXXXXXX/XX/XXXXXXXXXXXXX.XXX" v:XXXXXX="XXXXXXXXXXXX"> </p> <p>X = <img width="XX" XXXXXX="41" src="file:///C:/Users/XXXXX/AppData/XXXXX/XXXX/msohtmlclip1/XX/clip_image016.gif" v:shapes="_x0000_i1025"> X = [3], X = <XXX width="50" height="86" src="XXXX:///C:/Users/Satis/XXXXXXX/Local/XXXX/XXXXXXXXXXXX/XX/clip_image018.XXX" v:XXXXXX="XXXXXXXXXXXX">, G = <img width="82" XXXXXX="63" src="file:///X:/Users/XXXXX/AppData/XXXXX/XXXX/msohtmlclip1/01/XXXXXXXXXXXXX.gif" v:shapes="_x0000_i1025"><span></span> </p> <XX><li>What XX the dimension of each XXXXXX ? </li><li>XXXXX XXXXXXXX XXX XXXXXX? </li><li>Which matrices are symmetric ? </li><li>XXXXX XXXXXX has XXX entry XX row 3 and XXXXXX X equal XX -11 ? </li><li>XXXXX matrix XXX XXX XXXXX XX row X and XXXXXX X XXXXX to XX ? </li><li>XXXXX are column XXXXXXXX ? </li><li>XXXXX XXX row XXXXXXXX? </li><li>XXXX A<XXX>T</XXX>, C<XXX>T</sup>, E<sup>X</sup>, X<sup>X</XXX> </li></XX> <p>Dimension XX a matrix XX XXX order of the XXXXXX: <b>row x XXXXXX</b> </p> <p>X : 2 x 4, B : 4 x X, C: 1 x 3, D : X x X, E : X x 1, F : X x 4, G : X x X </p> <p> </p> <p>When <b>XXXXXXX = rows</b> in a XXXXXX, XX called a <i>square XXXXXX.</i> </p> <p>XXX square XXXXXXXX are : <b>D</b> XXX <b>X</b> </p> <p> </p> <p>XX XXX transpose of a XXXXXX XX XXXXX to the XXXXXX itself, the matrix is said to be symmetric. </p> <p>XXXXXXXXX of a XXXXXX XX a matrix obtain by using XXX rows XX XXX XXXXXX as XXXXXX in XXX XXXXXXXXX matrix. </p> <p> XXXX matrix <b>X = [3]</b> is XXXXXXXXX </p> <p> </p> <p>XXXXXX <b>B</b> </p> <p> </p> <p>XXXXXX <b>X</b> </p> <p> </p> <p>A XXXXXX XXXXXX XX a XXXXXX consists XX a XXXXXX column. The XXXXXXXXX of a column matrix is <b>rows x X</b> </p> <p> Column matrices XXX : <b> E</b> and <b>F</b> </p> <p> </p> <p>X row matrix XX a matrix consists XX a XXXXXX row. The XXXXXXXXX XX a row matrix XX <b>X x XXXXXXX</b> </p> <p>Row matrices are : <b>C</b> XXX <b>E</b> </p> <p>XXXXXXXXX of a matrix is a matrix obtain XX using the rows of the matrix as XXXXXX in XXX XXXXXXXXX matrix. </p> <p> </p> <p>A<sup>X</XXX> = <XXX width="92" height="XX" XXX="XXXX:///C:/XXXXX/XXXXX/XXXXXXX/Local/Temp/XXXXXXXXXXXX/01/clip_image022.gif" v:XXXXXX="_x0000_i1025">, X<sup>T</sup> = <XXX width="XX" height="XX" XXX="XXXX:///C:/XXXXX/Satis/XXXXXXX/Local/XXXX/msohtmlclip1/01/clip_image024.gif" v:shapes="XXXXXXXXXXXX">, </p> <p>E<sup>T</sup> = [ X ], X<sup>X</XXX> = <img width="XXX" height="41" XXX="XXXX:///C:/Users/Satis/XXXXXXX/Local/XXXX/msohtmlclip1/XX/clip_image026.XXX" v:shapes="XXXXXXXXXXXX"> </p> <p> </p> <p> </p> <p>Q3. XXXXX XXX matrices : </p> <p> X = <XXX width="XX" XXXXXX="XX" XXX="file:///C:/XXXXX/XXXXX/AppData/Local/XXXX/msohtmlclip1/01/XXXXXXXXXXXXX.gif" v:shapes="_x0000_i1025"> , X = <img width="XXX" height="63" src="XXXX:///X:/Users/XXXXX/AppData/XXXXX/Temp/msohtmlclip1/01/XXXXXXXXXXXXX.XXX" v:shapes="XXXXXXXXXXXX"> , X = <img width="XX" XXXXXX="41" XXX="XXXX:///X:/Users/XXXXX/XXXXXXX/XXXXX/Temp/XXXXXXXXXXXX/01/XXXXXXXXXXXXX.XXX" v:shapes="XXXXXXXXXXXX"> , </p> <p>D = <img width="97" XXXXXX="XX" XXX="file:///X:/Users/XXXXX/AppData/XXXXX/Temp/XXXXXXXXXXXX/XX/clip_image034.XXX" v:XXXXXX="_x0000_i1025"> , X = <img width="128" XXXXXX="63" src="XXXX:///X:/Users/XXXXX/AppData/Local/XXXX/msohtmlclip1/XX/XXXXXXXXXXXXX.XXX" v:XXXXXX="_x0000_i1025"> </p> <XX><li>Which of the above XXXXXXXX are diagonal ? </li><li>XXXXX of XXX above matrices XXX XXXXX XXXXXXXXXX ? </li><li>Which of the above matrices are XXXXX triangular ? </li></ul> <p>X XXXXXX XXXXXX in which every element XXXXXX the principle XXXXXXXX XXXXXXXX XX zero, it is called a <i>XXXXXXXX matrix</i>. </p> <p> XXX XXXXXXXX matrices XXX: XXXXXXXX <b>C</b> XXX <b>E</b> </p> <p> </p> <p>A<i>lower triangular XXXXXX</i>XX XXX which contains XXX its XXX-zero elements in and below XXX main XXXXXXXX. </p> <p> The lower XXXXXXXXXX matrix is : XXXX matrix <b>B</b> </p> <p> </p> <p>X<i>upper triangular matrix</i>is one XXXXX XXXXXXXX XXX its XXX-XXXX elements in XXX XXXXX XXX XXXX diagonal. </p> <p> XXX lower XXXXXXXXXX XXXXXXXX are : XXXXXXXX <b>A</b> and <b>X</b><span></span> </p>">
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