Find T(v) by using (a) the standard matrix and (b) the matrix relative to B and B'. T: R² → R³, T(x, y) = (-x, y, x + y), v = (0, 1), B = {(1, 1), (1, -1)}, B’ = {(0, 1, 0), (0, 0, 1), (1, 0, 0)}

Find T(v) by using (a) the standard matrix and (b) the matrix relative to B and B'. T: R² → R³, T(x, y) = (-x, y, x + y), v = (0, 1), B = {(1, 1), (1, -1)}, B’ = {(0, 1, 0), (0, 0, 1), (1, 0, 0)}

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 53RE

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Question

Find T(v) by using (a) the standard matrix and (b) the matrix relative to B and B'.
T: R² → R³, T(x, y) = (-x, y, x + y), v =
(0, 1),
B = {(1, 1), (1, –1)}, B' = {(0, 1, 0), (0, 0, 1), (1, 0, 0)}

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