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Molodets [167]
3 years ago
8

Suppose that A, B, and C are invertible matrices of the same

Mathematics
1 answer:
STALIN [3.7K]3 years ago
8 0

Answer:

Step-by-step explanation:

Given that t A, B, and C are invertible matrices of the same

size.

To pr that (ABC)^{-1} = C^{-1}B^{-1}A^{-1}.

to pr that  ( ABC) (C^{-1}B^{-1}A^{-1})=e

LS=( AB(C (C^{-1})B^{-1}A^{-1})\\=ABIB^{-1}A^{-1})\\=A(BB^{-1})A^{-1})\\=AA^{-1})\\=I

Thus proved

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