If A is a square matrix of order 3, $B =

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Home Questions 85EJHJ3CS6

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If A is a square matrix of order 3, $B = kA$ and $B = x |A|$ then,

Options:

$x=2k$

$x=k^2$

$x=k^3$

$x=3k$

Correct Answer:

$x=k^3$

Explanation:

$A$ → order (3 × 3)

$B = |kA|$

So, $|B|=|kA| = k^3|A|$ (as A has order 3)

$x=k^3$ (upon comparing)