InterviewSolution
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InterviewSolution
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If `|[1,x,x^2] , [x,x^2,1] , [x^2,1,x]|=3` then find the value of `|[x^3-1, 0, x-x^4] , [0,x-x^4, x^3-1] , [x-x^4, x^3-1, 0]|` |
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Answer» ` Delta_(c)=|{:(x^(3)-1,,0,,x-x^(4)),(0,,x-x^(4),,x^(3)-1),(x-x^(4)-1,,x^(3)-1,,0):}|` is the determinant formed by the cofactors of determinant `Delta = |{:(1,,x,,x^(2)),(x,,x^(2),,1),(x^(2),,1,,x):}|` Hence `Delta_(c) =Delta^(2) =3^(2) =9`. |
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