For any square matrix of order

MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices

Problem

For any square matrix AA of order nn, which one of the following statements is always true? (a) A adj A=InA\,\text{adj}\,A = I_n (b) adj A=∣A∣ A−1\text{adj}\,A = |A|\,A^{-1} (c) A adj A=∣A∣ InA\,\text{adj}\,A = |A|\,I_n (d) A adj A=∣A∣ AA\,\text{adj}\,A = |A|\,A

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