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If `A=(3 5 7 9)`is written as A = P + Q, where P is a symmetric matrix and Q is skewsymmetric matrix, then write the matrix P. |
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Answer» Any matrix `A` can be written as sum of symmetric and skew symmetric matrix. `A = 1/2(A+A^T)+1/2(A-A^T)` We are given `A = P+Q` So, `P = 1/2(A+A^T)` as `P` is symmetric matrix. `:. P = 1/2[[3,5],[7,9]]+[[3,7],[5,9]]` `=>P = [[3,6],[6,9]]` |
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