State the necessary and sufficient condition for a matrix to be invertible.

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

Problem

State the necessary and sufficient condition for a 2×22\times2 matrix AA to be invertible. (a) det⁡(A)=1\det(A)=1 (b) ad≠0ad\ne0 (c) det⁡(A)≠0\det(A)\ne0 (d) det⁡(A)=0\det(A)=0

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