Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

If A is a square matrix of order 3 and |A| = 5. then the value of |A. adj A|, is

Options:

5

15

125

625

Correct Answer:

125

Explanation:

|A| = 5

|Adj.A| = |A|(3-1) =  |A|= 25

|A.Adj.A| = |A|.|Adj.A| =$ 5 \times 25 = 125$