(a) Show that is invertible if and only if a 0 and b 0 (b) If A and B are square and invertible, show that (i) the block matrix Is invertible for any Xi and (ii) (c) if is invertible, show that A and B are invertible Write the inverse as where A1 and B1 are the same size as A and B Use block multip...

b As in Example 11 B 1 Y A 1 1 1 1 3 d As in E ...

(a) Show that is invertible if and only if a 0 and b 0. (b) If A...

Question:

(a) Show that

is invertible if and only if a ‰ 0 and b ‰ 0.
(b) If A and B are square and invertible, show that (i) the block matrix

Is invertible for any Xi and
(ii)

is invertible, show that A and B are invertible. Write the inverse as

where A1 and B1 are the same size as A and B. Use block multiplication.]

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(a) Show that is invertible if and only if a 0 and b 0. (b) If A...

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.rわ A X 0 B 0 B 0 B-1 0 B

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Linear Algebra With Applications

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