Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

If A is a $3 \times 3$ square matrix such that $|A|=2$, then $|3 adj ~A|$ is

Options:

108

216

12

6

Correct Answer:

108

Explanation:

The correct answer is Option (1) → 108

$|3 adj\,A|=3^3×|A|^{3-2}$

$=27×|A|^2=27×4$

$=108$