Question

The determinant of matrix a is 5 and determinant of matrix b is 40 what is the determinant of matrix ab

Answer 1

5*40=200 since matrix A*matrix B gives the product 200

Answer 2

The determinant of matrix AB = 200

Given : The determinant of matrix A is 5 and determinant of matrix B is 40

To find : The determinant of matrix AB

Tip : det (AB) = det A . det B

Solution :

Step 1 of 2 :

Write down the given data

The determinant of matrix A is 5 and determinant of matrix B is 40

So we have det A = 5 , det B = 40

Step 2 of 2 :

Find the value of the determinant of matrix AB

The determinant of matrix AB

= det (AB)

= det A . det B

= 5 × 40

= 200

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