class 12 maths determinants

If $A$ is invertible matrix of order $3 \times 3$, then $\left| {{A^{ - 1}}} \right|$ is equal to …………..

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📘 Determinants NCERT,Exemp,Q.39, Page.83 FillBlank

If $A$ is invertible matrix of order $3 \times 3$, then $\left| {{A^{ - 1}}} \right|$ is equal to …………..

Official Solution

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If $A$ is invertible matrix of order $3 \times 3$, then $\left| {{A^{ - 1}}} \right| = \frac{1}{{|A|}}$.

[since, $|A| \cdot \left| {{A^{ - 1}}} \right| = 1$]

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