1. Let ei , e2 = and e3 = Suppose that T : R³ →Rª is a linear transformation 1 such that 1 T(e1): 2 T(e2) = T(e3) -1 (a) Find the standard matrix for T. 3 4 (b) Find an x E R³ such that T (x)= b, where b = 1 %3| 2
1. Let ei , e2 = and e3 = Suppose that T : R³ →Rª is a linear transformation 1 such that 1 T(e1): 2 T(e2) = T(e3) -1 (a) Find the standard matrix for T. 3 4 (b) Find an x E R³ such that T (x)= b, where b = 1 %3| 2
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 4EQ: In Exercises 1-12, determine whether T is a linear transformation.
4. defined by , where B is a...
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