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Write a `x2x`matrix which is both symmetricand skew-symmetric. |
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Answer» For a symmetric matrix `A` with transpose `A^T`, `A= A^T->(1)` For a skew-symmetric matrix `A`, `A= -A^T->(2)` Adding (1) and (2), `2A = 0` `=>A = 0` So, matrix `A` will have all elements as `0`. `:. A = [[0,0],[0,0]]` is a matrix that is both symmetric and skew-symmetric. |
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