Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

If A is a square matrix of order 3 and det(A) =1. If B =2A is another matrix, the value of det(B) is :

Options:

2

4

6

8

Correct Answer:

8

Explanation:

order (A) = 3, $|A|=1$

$B=2A$ so $|B|=|2A|$

$|B|=2^3|A|=2^3×1$

$|B|=8$