Use formula (1) for the determinant in Section 5.2 to

Chapter , Problem 12E

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QUESTION:

Problem 12E

Use formula (1) for the determinant in Section 5.2 to explain why det G = (det A) (det B). From this, deduce that the characteristic polynomial of G is the product of the characteristic polynomials of A and B.

Reference:

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QUESTION:

Problem 12E

Use formula (1) for the determinant in Section 5.2 to explain why det G = (det A) (det B). From this, deduce that the characteristic polynomial of G is the product of the characteristic polynomials of A and B.

Reference:

ANSWER:

Solution 12E

For any scalar , the matrix

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