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Let A 1 ,.,A n be mm matrices. Suppose also that B and C are mm matrices. Given that B Span(A 1 ,.,A n ) and B+C Span(A 1 , . , A n ), show that C...

Let A1,...,An be m×m matrices. Suppose also that B and C are m×m matrices. Given that B ∈ Span(A1,...,An) and B+C ∈ Span(A1, . . . , An), show that C ∈ Span(A1, . . . , An).

I don't understand where to start the proof and how I'm supposed show C is in the span given the other information.

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It is shown that ,  C ∈ S p a n ( A... View the full answer

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