Matrices and Determinants
Properties of Determinants
JEE Main PYQ
Grade 12
Question:
If $A$ is a $2 \times 2$ matrix with $|A| = 3$, then $|5A|$ equals _____.
Step-by-Step Solution
Key Concept: Use the scalar rule $|kA| = k^n|A|$ for an $n \times n$ matrix, here with $k = 5$ and $n = 2$.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: 75