Let . Answer the…

MATHEMATICS · Multi-part · CBSE · Mathematics · Determinants · Determinants

Problem

Let

A = \begin{pmatrix} 1 & 3 & 5 \\ 2 & 4 & 6 \\ \lambda & 7 & 9 \end{pmatrix}

. Answer the following: (i) Find

|A|

in terms of

\lambda

. (ii) Hence determine the value of

\lambda

for which

A

is singular.