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

Answer»

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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