If det (A) = 5, then find det (15A) where A is of order `2 xx 2`

If A,B and C are n xx n matrix and det (A) = 2, det (B)= 3, and det (C ) = 5, then find the value of the det (A^(2) BC^(-1)) .

A and B are different matrices of order n satisfying A^(3)=B^(3) and A^(2)B=B^(2)A . If det. (A-B) ne 0 , then find the value of det. (A^(2)+B^(2)) .

If det(adjA)=|A|^(2), then the order of matrix A is

Consider the following statements : 1. If det A = 0, then det (adj A) = 0 2. If A is non-singular, the det(A^(-1)) = (det A)^(-1)

Consider the following statements : 1. If det A = 0, then det (adJ A) = 0 2. If A is non-singular, then det (A^(-1)) = (det A)^(-1)

If det A = -3 and A is of order 2 xx 2 find the value of det (-6A)

If A,B and C are square matrices of order n and det (A)=2, det(B)=3 and det (C)=5, then find the value of 10det (A^(3)B^(2)C^(-1)).

If A,B and C are square matrices of order n and det (A)=2, det(B)=3 and det ©=5, then find the value of 10det (A^(3)B^(2)C^(-1)).