Question: Let A, B, C, D, and I be n ( n matrices. Use the definition or properties of a determinant to justify the following formulas.

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.

4 det oI 0 det C Ddet D A 0 A B

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a Consider the matrix Where 1 k n and O is an appropriately sized zero matrix We will show that det ... View full answer

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