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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

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2. Suppose that a = {x1, x2,,xn} is a basis for V and B given a matrix A such that A = [T] == = {y1 y2, yn} is a basis for W. You are a) Let a; be nonzero scalars, and a' = {a1x1, a2x2,,anxn}. We already know that a' is a basis. Explain how you could find [T] purely in terms of A and a1, a2,*, an == b) Let b; be nonzero scalars, and B' = {b1x1, b2x2,,bnxn]. We already know that ẞ' is a basis. Explain how you could find [T] purely in terms of A and b1, b2,...,bn

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