( A 3 ) - 1 = ( A - 1 ) 3 , where A is a square matrix and |A| 0 Correct Answer True

Since, ( A n ) - 1 = ( A - 1 ) n , where n N .

Determinants — Class 12 Maths Solution

exemplar tf TrueFalse NCERT,Exemp,Q.48, Page.84

Question

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

Correct Answer True

Step-by-step Solution

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

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