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If matrix A=[[1/sqrt(2),] [1/sqrt2],[ -...

If matrix `A=[[1/sqrt(2),] [1/sqrt2],[ -1/sqrt2, 1/sqrt2]]` and B, is a matrix such that `B^T A=A^T` and `K B^T=2 A^T-sqrt(2) I`. (where `I` is unit matrix of order 2 and `K in R^l` ) then the value of `K^4` is

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