The matrix [ * 20 c & - 1 &4 - 3 &0&1 - 1 &1&2 ]is invertible, if - Vidyadip

MCQ

The matrix $\left[ {\begin{array}{*{20}{c}}\lambda &{ - 1}&4\\{ - 3}&0&1\\{ - 1}&1&2\end{array}} \right]$is invertible, if

A
$\lambda \ne - 15$
✓
$\lambda \ne - 17$
C
$\lambda \ne - 16$
D
$\lambda \ne - 18$

✓

Answer

Correct option: B.

$\lambda \ne - 17$

b
(b)$\left| {\,\begin{array}{*{20}{c}}\lambda &{ - 1}&4\\{ - 3}&0&1\\{ - 1}&1&2\end{array}\,} \right|\, \ne 0 \Rightarrow \lambda \ne - 17$.

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