Which one of the following statements about a square matrix of order is TRUE?

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

Which one of the following statements about a square matrix AA of order nn is TRUE? (a) If ∣A∣=0|A| = 0, then AA is non-singular. (b) The inverse of AA exists only when adj⁡A=0\operatorname{adj}A = 0. (c) If ∣A∣≠0|A| \ne 0, then AA possesses a unique inverse. (d) A matrix with ∣A∣≠0|A| \ne 0 can never satisfy AA−1=InA A^{-1} = I_n.

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