If A is invertible matrix of order 3 3 , then | A - 1 | is equal to …………..

If A is invertible matrix of order 3 3 , then | A - 1 | = |A| . [since, |A| | A - 1 | = 1 ]

Determinants — Class 12 Maths Solution

exemplar fill FillBlank NCERT,Exemp,Q.39, Page.83

Question

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

Step-by-step Solution

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

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

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Determinants. Curated by Sachin Sharma. Free for all students.