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

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.]