Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If A is a square matrix and |A|=4, then the value of |AA'| where A' is transpose of A, is :

Options:

16

4

2

8

Correct Answer:

16

Explanation:

The correct answer is Option (1) → 16

$|A|=4$

$|A|=|A^T|=4$

so $AA^T|=|A||A^T|=4×4$

$=16$