Which one of the following relations between a non-singular square matrix and its…

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

Problem

Which one of the following relations between a non-singular square matrix

A

and its adjugate is correct? (a)

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

(b)

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

(c)

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

(d)

A^{-1}=\dfrac{[\operatorname{adj}(A)]^{T}}{\det(A)}