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If A=[[1,2,0],[0,1,3],[-2,5,3]],"then ve...

If A=`[[1,2,0],[0,1,3],[-2,5,3]],"then verify that"`
`A=[[1,2,0],[0,1,3],[-2,5,3]]`
`impliesA'=[[1,0,-2],[2,1,5],[0,3,3]]`
A+A' is symmetric

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Now P=A+A`=[[2,2,-2],[2,2,8],[-2,8,6]]`
`[[2,2,-2],[2,2,8],[-2,8,6]]`
`[[2,2,-2],[2,2,8],[-2,8,6]]=P`
`:.`A+A. is symmetric.
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If A= [[1,2,0],[0,1,3],[-2,5,3]],"then verify that" A=[[1,2,0],[0,1,3],[-2,5,3]] impliesA'=[[1,0,-2],[2,1,5],[0,3,3]] A+A' is skmmetric

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MBD PUBLICATION-MATRICES-QUESTION BANK
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  2. A and B are square matrices of the same order, prove that :If A,B and ...

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  3. If A=[[1,2,0],[0,1,3],[-2,5,3]],"then verify that" A=[[1,2,0],[0,1,3],...

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  4. If A=[[1,2,0],[0,1,3],[-2,5,3]],"then verify that" A=[[1,2,0],[0,1,3],...

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  8. Express as a sum of a symmetric and a skew symmetric matrix: [[2,-1,3]...

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  9. Express as a sum of a symmetric and a skew symmetric matrix: [[x,a,b],...

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  10. Express as a sum of a symmetric and a skew symmetric matrix: [[0,x],[-...

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  12. Express as a sum of a symmetric and a skew symmetric matrix: [[4,-3],[...

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  13. Express as a sum of a symmetric and a skew symmetric matrix: [[0,1],[1...

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  14. What is the inverse of : [[1,0],[0,1]]

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