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