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Geometric series and matrix

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1. Suppose that A = ... and C = ... (see attachment). Find a matrix for B such that AB = C or prove that no such matrix exists

2. Find the sum ... (see attachment)

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Find a matrix for B such that AB = C or prove that no such matrix exists
Find the sum of the given geometric series.

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A.

Solution:

Let B , then .
By matrix product ...

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