Question
Consider the basis S = {v 1 , v 2 , v 3 } for R 3 , where v 1 = (1, 2, 1),
Consider the basis S = {v1, v2, v3} for R3, where v1 = (1, 2, 1), v2 = (2, 9, 0), and v3 = (3, 3, 4), and let T:R3 → R2 be the linear transformation for which
T(v1) = (1, 0), T(v2) = (− 1, 1), T(v3) = (0, 1)
Find a formula for T(x1, x2, x3), and use that formula to find T(9, 80, 9).
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V 121 V 90 V 334 T R2 T5245 29 52 45 C 12 1 2 6290 ...
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Linear Algebra and Its Applications
Authors: David C. Lay
4th edition
321791541, 978-0321388834, 978-0321791542
