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A matrix A of order 3 * 3 has determinan...

A matrix `A` of order 3 * 3 has determinant 5. What is the value of `|3A|?`

A

25

B

135

C

125

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
If the determinant of a matrix A of order m is ∆, then the determinant of matrix λA, where λ is a scalar, is `λ^m∆`.
In this question, ∆ = 5, λ = 3 and m = 3.
`|λA| = 3^(3)×5 = 135`
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