Question: A X 5. Let G = 0 B be a block matrix where A and B are both 2 x 2 blocks. Show that det

A X 5. Let G = 0 B be a block matrix where A and B are both 2 x 2 blocks. Show that det G = (det A) (det B) and that the characteristic polynomial of G is the product of the characteristic polynomials of A and B

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