Let A and B be n x n matrices such that det(A) 0 and det(B) + 0. Consider the following statements. Based on the properties of determinants which of the following is false? O det(AB) = det(A) + det(B) O det(AB) = det(BA) O det ((AB)-1) 1 det(A)det(B) O det(A" B") = det(AB) O If A = -B then det(A) = (-1)"det(B) %3D

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A: This question is related to matrix and determinants, We will solve it using given information.

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Q: Use the fact that ∣cA∣ = cn∣A∣ to evaluate the determinant of the n × n matrix.

A: Given: The fact ∣cA∣ = cn∣A∣

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Q: 3. (a) Find the determinant of the matrix A below. 1 0 -1 0 0 1 1 0 -1 A =

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Q: 3. (a) Find the determinant of the matrix A below. '1 0 -1 A =0 0 1 10 -1

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A: a) det AB = det A.det B= 7.4= 28   b) det 5A= 5ndetA n=3 (3*3 matrix)square matrix det5A = 53*7 =…

Q: 1 3 1 -1 -7 1 -2 0 1 5 3 1 2.

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