Let A, B, C, D, and I be n ( n matrices. Use the definition or properties

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Let A, B, C, D, and I be n ( n matrices. Use the definition or properties of a determinant to justify the following formulas. Part (c) is useful in applications of eigenvalues (Chapter 5).
a.
Let A, B, C, D, and I be n (

b.

Let A, B, C, D, and I be n (

c.

Let A, B, C, D, and I be n (
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