First slide

Applications of determinant

Question

The matrix $A = [\begin{array}{rrr} 0 0 - 7 \\ 0 - 7 0 \\ - 7 0 0 \end{array}]$ is a

Moderate

A

scalar matrix
B

diagonal matrix
C

unit matrix
D

non-singular

Solution

Note that $A^{2} = 49 I$
$\Rightarrow A^{- 1} = \frac{1}{49} A$ [ $∴$ A is non-singular]

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