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For the matrixA=[[1,5],[6,7]], verify th...

For the matrix`A=[[1,5],[6,7]]`, verify that
`A+A^T` is a symmetric matrix

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We have `A^T = [(1,6),(5,7)] therefore A+A^T = [(2,11),(11,14)]`
`(A+A^T)^T = [(2,11),(11,14)] = A+A^T implies A+A^T` is symmetric
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A N EXCEL PUBLICATION-MATRICES-QUESTION BANK
  1. show that the matrix A= [[1,-1,5],[-1,2,1],[5,1,3]] is a symmetric mat...

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  2. show that the matrix A=[[0,1,-1],[-1,0,1],[1,-1,0]] is a skew symmetri...

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  3. For the matrixA=[[1,5],[6,7]], verify that A+A^T is a symmetric matr...

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  4. For the matrixA=[[1,5],[6,7]], verify that A-A^T is a skew symmetric...

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  5. Find 1/2 (A+A^T) and 1/2(A-A^T) where A=[[0,a,b],[-a,0,c],[-b,-c,0]]

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