DeterminantHard

Question

Let A = be a matrix, then (det A) x (adj A^-1) is equal to

Options

A.O_{3 × 3}

B.I₃

C.

D.

Solution

| A | . (adj (A^-1)) = | A | (|A_-1| . (A^-1)^{- 1}) = | A A^-1| . A = A.

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