Q. 164.2( 5 Votes )

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

Answer :

If the determinant of a matrix A of order m is ∆, then the determinant of matrix λA, where λ is a scalar, is λm∆.

In this question, ∆=5, λ=3 and m=3.


|λA|=33×5


=135


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