class 12 maths determinants

${\left( {{A^3}} \right)^{ - 1}} = {\left( {{A^{ - 1}}} \right)^3}$, where $A$ is a square matrix and $|A| \ne 0$

Correct Answer True

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📘 Determinants NCERT,Exemp,Q.48, Page.84 TrueFalse

${\left( {{A^3}} \right)^{ - 1}} = {\left( {{A^{ - 1}}} \right)^3}$, where $A$ is a square matrix and $|A| \ne 0$

Correct Answer True

Official Solution

VVidaara Team ✓ Verified solution NCERT & Exemplar

Since, ${\left( {{A^n}} \right)^{ - 1}} = {\left( {{A^{ - 1}}} \right)^n}$, where $n \in N$.

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