1. Let T: R² → R2 be the linear transformation T[*]-[***] a) Find [T] where a is the standard basis for R². b) Let 6 be the basis consisting of X2 x2 -2 [3][7] for R2. Find the change of basis matrix from a to ß. c) Find the change of basis matrix from ß to a. d) Find [7]. e) Find [v]s for v=[²3] · f) Find [T(v)]. g) Use the result of part (f) to find T (v).
1. Let T: R² → R2 be the linear transformation T[*]-[***] a) Find [T] where a is the standard basis for R². b) Let 6 be the basis consisting of X2 x2 -2 [3][7] for R2. Find the change of basis matrix from a to ß. c) Find the change of basis matrix from ß to a. d) Find [7]. e) Find [v]s for v=[²3] · f) Find [T(v)]. g) Use the result of part (f) to find T (v).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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In Exercise 7, do the parts of Exercise 1 for the given linear transformation, bases, and
Please solve question #7, ONLY question #7. PLEASE write it on PAPER.
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