تم الحل ✓
categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
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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