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3 years ago

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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Step-by-step explanation:

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