In Exercises 1–9, assume that the matrices are

Chapter 2, Problem 5E

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Problem 5E

In Exercises 1–9, assume that the matrices are partitioned conformably for block multiplication.

In Exercises 5–8, find formulas for X, Y, and Z in terms of A, B, and C, and justify your calculations. In some cases, you may need to make assumptions about the size of a matrix in order to produce a formula. [Hint: Compute the product on the left, and set it equal to the right side.]

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