- #1

- 800

- 8

## Homework Statement

__Problem__:

Find and check the inverses (assuming they exist) of these three block matrices.:

[1] {{I, 0},{C, I}}

[2] {{A, 0}, {C, D}}

[3] {{0, I}, {I, D}}

__Answer__:

[1] {{I, 0}, {-C, I}}

[2] {{A^(-1), 0}, {-D^(-1) C A^(-1), D^(-1)}}

[3] {{-D, I}, {I, 0}}

## Homework Equations

N/A

## The Attempt at a Solution

I have no idea how to begin answering this problem. Could someone please explain to me?

If any more information is needed, just tell me and I will attempt to clarify the situation.

Any help would be greatly appreciated!

P.S.

To read the matrices in the notation I used (which is Wolfram Alpha's notation), for [1], Row 1/Column 1 has I, Row 1/Column 2 has 0, Row 2/Column 1 has C, Row 2/Column 2 has I.