If A is an invertible square matrix then |A-1│=?A. │A│ B. 1/|A| – InterviewSolution

1.

If A is an invertible square matrix then |A-1│=?A. │A│ B. 1/|A|C. 1 D. 0

Answer»

We know that AA^-1 = 1

Taking determinant both sides

│AA^-1│ = │I│

│A││A^-1│ = │I│ (│AB│=│A││B│)

│A││A^-1│ = 1 (│I│ = 1)

|A^-1| = 1/|A|

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