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Please help me how to do no 5

Please help me how to do no 5-example-1
User Neumino
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1 Answer

4 votes

Answer:

-864

Explanation:

The determinant of a matrix product is the product of the determinants. The determinant of a transpose is the same as the determinant of the original. Hence ...


|AB^5C^T|=(4)(-2)^5((1)/(4))=-32

The multiplication of an n×n matrix by a scalar 'a' multiplies its determinant by a^n, so the desired determinant is ...


|3AB^5C^T|=3^3(-32) = \boxed{-864}

User Mkg
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