8. Let T: R² R³ be given by T(x, y) = (x+y, x-y, 2x + 3y). (a) Find the matrix of T with respect to the standard bases for R² and R³. (b) Is T one-to-one? Explain your answer. (c) Is T onto? Explain your answer.
8. Let T: R² R³ be given by T(x, y) = (x+y, x-y, 2x + 3y). (a) Find the matrix of T with respect to the standard bases for R² and R³. (b) Is T one-to-one? Explain your answer. (c) Is T onto? Explain your answer.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
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