Let e = and ez = Suppose that T :R' →R* is a linear transformation 0. e2 1 0. %3D ach that T(e1) = T(e2) = 1 T(e3)= ) Find the standard matrix for T. 3 4 ) Find an x ER such that T(x) =b, where b= 1 %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 3EQ: In Exercises 1-12, determine whether T is a linear transformation. T:MnnMnn defines by T(A)=AB,...
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0.
4. Let ej
and ez
Suppose that T :R' + R* is a linear transformation
%3D
%3D
0.
1
such that
T(e1) =
T(e2) =
T(e3) =
%3D
%3D
0.
0.
(a) Find the standard matrix for T.
4
(b) Find an x € R³ such that T(x) = b, where b=
1
%3D
Transcribed Image Text:0. 4. Let ej and ez Suppose that T :R' + R* is a linear transformation %3D %3D 0. 1 such that T(e1) = T(e2) = T(e3) = %3D %3D 0. 0. (a) Find the standard matrix for T. 4 (b) Find an x € R³ such that T(x) = b, where b= 1 %3D
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