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Matrix `A=[0 2b-2 3 1 3 3a3-1]`is given to be symmetric, find values of `a`and `b`. |
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Answer» A matrix `A` will be symmetric if `A = A^T` Here, `A = [[0,2b,-2],[3,1,3],[3a,3,-1]]` `A^T = [[0,3,3a],[2b,1,3],[-2,3,-1]]` As given matrix is symmetric, `:. A = A^T` `=> [[0,2b,-2],[3,1,3],[3a,3,-1]] = [[0,3,3a],[2b,1,3],[-2,3,-1]]` `:. 2b = 3 and 3a = -2` `=>b = 3/2 and a =-2/3` |
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