Let , where . Determine all real values of for which is…

MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

Let

M=\begin{pmatrix}k & 1 & 1\\ 1 & k & 1\\ 1 & 1 & k\end{pmatrix}

, where

k\in\mathbb R

. Determine all real values of

k

for which

M

is invertible.