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if A and B are 3 x 3 matrices, det(A) = -1, det(B) = -2, then what is det(-2A) ? If possible please include workings, thanks!?
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- Anonymous3 years agoFavorite Answer
det(B) isn't used so why say it is -2 ????
For an n x n matrix, A: det(cA) = cⁿdet(A)
This is a standard relationship you should be given (formula sheet?).
det(-2A) = (-2)³det(A) (since A is 3x3)
. . . . . . . = -8 x -1
. . . . . . . = 8
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