For any real, square and non-singular matrix B , the det B-1 is

September 6, 2023

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Q. For any real, square and non-singular matrix B , the det B^-1 is

(A) zero

(B) (det B)^-1

(D) det B

Ans: (det B)^-1

Sol:

For any matrix whose inverse exists i.e. non-singular

BB-1 = I

|BB^-1| = 1

|B||B^-1| = 1

det (B^-1) = (det B)^-1

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