Question

If A and B are square matrices of order 3, such that |A|=-1,|B|=3, then the determinant of 3AB equals​

Answer 1

Answer:

Determinant of 3AB = 3 ^n det (A) det(B), where n is the order of the matrix.

The value of |3AB| is -81

Step-by-step explanation:

Given If A and B are square matrix of order 3 such that |A|= -1 and |B|= 3, then we have to find the value of  |3AB|.

As, if A is the nth order square matrix then by formula

Here, A and B are square matrix of order 3 i.e n=3

Hence, the value of |3AB| is -81.

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Answer 2

Step-by-step explanation:

formula is |kA|= k^n|A|

|AB|=|A| |B|