For a non-singular matrix

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

Problem

For a non-singular

3\times 3

matrix

A

, which one of the following relations is always true? (a)

\operatorname{adj}(A)=\dfrac{1}{\det(A)}\,A^{-1}

(b)

\operatorname{adj}(A)=\det(A)\,A^{-1}

(c)

\operatorname{adj}(A)=\det(A)\,A^{T}

(d)

\operatorname{adj}(A)=\dfrac{A}{\det(A)}