Question

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If $\mathrm{A}$ is a square matrix of order $\mathrm{n}>1$, then which one of the $\begin{array}{ll}\text { following is correct? } \end{array}$

MathematicsDeterminantsNDANDA 2019 (Phase 1)

Options:

A $\operatorname{det}(-\mathrm{A})=\operatorname{det} \mathrm{A}$
B $\operatorname{det}(-\mathrm{A})=(-1)^{\mathrm{n}} \operatorname{det} \mathrm{A}$
C $\operatorname{det}(-\mathbf{A})=-\operatorname{det} \mathbf{A}$
D $\operatorname{det}(-\mathrm{A})=\mathrm{n} \operatorname{det} \mathrm{A}$