CUET Preparation Today
Given a matrix A of order 3 × 3. If $|A| = 3$ then the value of $\text{|A(adj A)|}$ is: |
3 27 9 81 |
27 |
The correct answer is Option (2) → 27 Given: $|A| = 3$ Let $A$ be a square matrix of order $n = 3$. Property: $|A \cdot \text{adj}(A)| = |A|^n$ So, $|A \cdot \text{adj}(A)| = |A|^3$ Substitute $|A| = 3$: $|A \cdot \text{adj}(A)| = 3^3 = 27$ |
