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For what value of `x` is the matrix `A=[(0,1,-2),(1,0,3),(x,3,0)]` a skew-symmetric matrix? |
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Answer» `A = [[0,1,-2],[-1,0,3],[x,-3,0]]` `:. A^T = [[0,-1,x],[1,0,-3],[-2,3,0]]` Now, for a matrix `A` to be a skew-symmetric matrix, `A = -A^T` Here, `-A^T = [[0,1,-x],[-1,0,3],[2,-3,0]]` `:. [[0,1,-2],[-1,0,3],[x,-3,0]] =[[0,1,-x],[-1,0,3],[2,-3,0]]` So, `-x = -2 and x = 2` `:.` For `x = 2`, given matrix will be skew symmetric. |
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