The matrix [ ccc & 1 & 0 0 & 3 & 5 0 & -3 & ] is invertible _____… - Vidyadip

MCQ

The matrix $\left[\begin{array}{ccc}\lambda & 1 & 0 \\ 0 & 3 & 5 \\ 0 & -3 & \lambda\end{array}\right]$ is invertible ______.

A
for all real values of λ
B
only for λ ≠ 0
✓
when λ ≠ 0 and λ ≠ –5
D
only when λ ≠ –5

✓

Answer

Correct option: C.

when λ ≠ 0 and λ ≠ –5

C

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