Let A = pmatrix 1 & 2 & k 0 & 3 & -1 4 & -2 & 5 pmatrix

MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

Let

A = \begin{pmatrix} 1 & 2 & k\\ 0 & 3 & -1\\ 4 & -2 & 5 \end{pmatrix},

where

k

is a real number. (a) Obtain

\operatorname{adj}A

in terms of

k

. (b) If the

(2,3)

-entry of

\operatorname{adj}A

equals

7

, determine the value of

k