Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

If A is a matrix of order 2 and |A| = 6 , then the value of \(|3 { A }^{ T } |\) is

Options:

54

18

-18

-54

Correct Answer:

54

Explanation:

$|3A^T|=3^2|A^T|$

$⇒3^2|A|$

$=3^2×6$

$=9×6=54$