Matrices and Determinants
Adjoint of a Matrix
IIT-JEE PYQ
Grade 12
Question:
If $A$ is a $3 \times 3$ matrix with $|A| = 5$, then $|\text{adj } A|$ equals _____.
Step-by-Step Solution
Key Concept: Apply the identity $|\text{adj } A| = |A|^{n-1}$ for a square matrix of order $n = 3$, and substitute the given value of $|A|$.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: 25