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Let A = [kaij]nxn, B = [aij]nxn, be an nxn matrices and k be a scalar then det(A) is equal to _________

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Let A = [kaij]nxn, B = [aij]nxn, be an nxn matrices and k be a scalar then det(A) is equal to _________

(a) Kdet(B)

(b) K^ndet(B)

(c) K^3det(b)

(d) None of the mentioned

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I'm obligated to ask this question of Properties of Matrices in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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Right choice is (b) K^ndet(B)

The best explanation: The scalar is multiplied with each of the element of matrix A then determinant is multiplied, the number of row times to the scalar i.e. K^ndet(B).

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