If $$A=100010ab-1$$ then $$A2$$ is equal to

Correct option is 2a unit matrix

Questions

If $A = [\begin{matrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ a & b & - 1 \end{matrix}]$ then $A^{2}$ is equal to

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a null matrix

a unit matrix

-A

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detailed solution

Correct option is B

We have A2=1 0 00 1 0a b −1 1 0 00 1 0a b −1 = 1 0 00 1 00 0 1 = a unit matrix.

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If A=100010ab-1 then A2 is equal to

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If $A = [\begin{matrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ a & b & - 1 \end{matrix}]$ then $A^{2}$ is equal to