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Let A and C be a pair of matrix where the product AC exists. 1. Show...

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Advance Math

Let A and C be a pair of matrix where the product AC exists.

1. Show that rank(AC) ? rank(A)

2. Give an example such that rank(AC) < rank(A)

3. is rank(AC) ? rank(C) always true? if not give acounterexample.

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