Question: Partitioning large square matrices can sometimes make their inverses easier to compute, particularly if the blocks have a nice form. In Exercises, verify by block

Partitioning large square matrices can sometimes make their inverses easier to compute, particularly if the blocks have a nice form. In Exercises, verify by block multiplication that the inverse of a matrix, if partitioned as shown, is as claimed. (Assume that all inverses exist as needed.)
a.
Partitioning large square matrices can sometimes make their inverses easier

b.

Partitioning large square matrices can sometimes make their inverses easier

c.

Partitioning large square matrices can sometimes make their inverses easier

4 B A-A BD 0 O D I B1-

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