document.write( "Question 846468: 1 If A.x=
\n" ); document.write( "λx
\n" ); document.write( ",where A=
\n" ); document.write( "∣∣∣∣211232−212∣∣∣∣
\n" ); document.write( ",determine the eigen values of the matrix A, and an eigen vector corresponding to each eigen value. If
\n" ); document.write( "λ=2
\n" ); document.write( ",what is b
\n" ); document.write( "{0,1,0}
\n" ); document.write( "{3,0,2}
\n" ); document.write( "{2,0,1}
\n" ); document.write( "{0,1,1}
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\n" ); document.write( "2 If A.x=
\n" ); document.write( "λx
\n" ); document.write( ",where A=
\n" ); document.write( "∣∣∣∣211232−212∣∣∣∣
\n" ); document.write( ",determine the eigen values of the matrix A, and an eigen vector corresponding to each eigen value. If
\n" ); document.write( "λ=4
\n" ); document.write( ",what is c
\n" ); document.write( "{2,3,0}
\n" ); document.write( "{2,1,0}
\n" ); document.write( "{-2,1,1}
\n" ); document.write( "{3,2,6}
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\n" ); document.write( "3 Solve the set of linear equations by the matrix method : a+3b+2c=3 , 2a-b-3c= -8, 5a+2b+c=9. Sove for c
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\n" ); document.write( "1
\n" ); document.write( "5
\n" ); document.write( "7
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\n" ); document.write( "4 If A.x=
\n" ); document.write( "λx
\n" ); document.write( ",where A=
\n" ); document.write( "∣∣∣∣211232−212∣∣∣∣
\n" ); document.write( ",determine the eigen values of the matrix A, and an eigen vector corresponding to each eigen value. If
\n" ); document.write( "λ=1
\n" ); document.write( ",what is a
\n" ); document.write( "{-2,1,0}
\n" ); document.write( "{3,5,2}
\n" ); document.write( "{1,0,0}
\n" ); document.write( "{2,1,4}
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\n" ); document.write( "5 Solve the set of linear equations by Guassian elimination method : a+2b+3c=5, 3a-b+2c=8, 4a-6b-4c=-2. Find c
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\n" ); document.write( "9
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\n" ); document.write( "6 Solve the set of linear equations by the matrix method : a+3b+2c=3 , 2a-b-3c= -8, 5a+2b+c=9. Sove for b
\n" ); document.write( "9
\n" ); document.write( "-3
\n" ); document.write( "5
\n" ); document.write( "-4
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\n" ); document.write( "7 Solve the set of linear equations by Guassian elimination method : a+2b+3c=5, 3a-b+2c=8, 4a-6b-4c=-2. Find b
\n" ); document.write( "4
\n" ); document.write( "-5
\n" ); document.write( "-3
\n" ); document.write( "5
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\n" ); document.write( "8 Solve the set of linear equations by Guassian elimination method : a+2b+3c=5, 3a-b+2c=8, 4a-6b-4c=-2. Find a
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\n" ); document.write( "-1
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\n" ); document.write( "9 Solve the set of linear equations by the matrix method : a+3b+2c=3 , 2a-b-3c= -8, 5a+2b+c=9. Sove for a\r
\n" ); document.write( "\n" ); document.write( "2
\n" ); document.write( "4
\n" ); document.write( "7
\n" ); document.write( "3\r
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\n" ); document.write( "\n" ); document.write( "10 Let A be a
\n" ); document.write( "n×n
\n" ); document.write( "square matrix . A is a symmetric matrix if A equal to …….
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\n" ); document.write( "B
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\n" ); document.write( "4BT
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\n" ); document.write( "11. Commpute the matrix :
\n" ); document.write( "∣∣∣102−5−314−1∣∣∣+∣∣∣32−506−2−1−3∣∣∣
\n" ); document.write( "∣∣∣42−3−73−13−4∣∣∣
\n" ); document.write( "∣∣∣42−3−53−13−4∣∣∣
\n" ); document.write( "∣∣∣41−3−53−13−4∣∣∣
\n" ); document.write( "∣∣∣423−53−13−4∣∣∣
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\n" ); document.write( "12 Let A=
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\n" ); document.write( "and B=
\n" ); document.write( "∣∣∣70011∣∣∣
\n" ); document.write( ". Find AB
\n" ); document.write( "∣∣∣140033∣∣∣
\n" ); document.write( "∣∣∣14003∣∣∣
\n" ); document.write( "∣∣∣10033∣∣∣
\n" ); document.write( "∣∣∣40033∣∣∣
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\n" ); document.write( "13 Solve the linear equation : 2x+y-3z= 5,3 x-2y-2z= 5, and 5x-3y-z= 16.
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\n" ); document.write( "(1 , -3 , 2 )
\n" ); document.write( "(1 , -3 , -1 )
\n" ); document.write( "(1 , -3 , -2 )
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\n" ); document.write( "14 Two systems of linear equations involving the same variables are said to be ......, if they have the same solution set.
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\n" ); document.write( "15 Solve the set of linear equations by the matrix method : a+3b+2c=3 , 2a-b-3c= -8, 5a+2b+c=9. Sove for a
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Algebra.Com's Answer #509729 by psbhowmick(878)\"\" \"About 
You can put this solution on YOUR website!
You can email me the questions in a proper format - here it is very difficult to read the determinant and matrix problems. \n" ); document.write( "
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