We are given the following vectors in R: -23 ---|-|-| 1 3 Wi = W2 = W3 8 3 Let T : R³ + R² be a linear transformation such that 21 T (w1) = T (w2) = T (w3) =| 3 X1 Find the vector X1 such that T (v) = X2 |x2. Hint. Express v as a linear combination of w1, W2, and w3 first. Enter your answer in the form [x1, x2]:

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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We are given the following vectors in R:
-23
---|-|-|
1
3
Wi =
W2 =
W3
8
3
Let T : R³ + R² be a linear transformation such that
21
T (w1) = T (w2) = T (w3) =|
3
X1
Find the vector
X1
such that T (v) =
X2
|x2.
Hint. Express v as a linear combination of w1, W2, and w3 first.
Enter your answer in the form [x1, x2]:
Transcribed Image Text:We are given the following vectors in R: -23 ---|-|-| 1 3 Wi = W2 = W3 8 3 Let T : R³ + R² be a linear transformation such that 21 T (w1) = T (w2) = T (w3) =| 3 X1 Find the vector X1 such that T (v) = X2 |x2. Hint. Express v as a linear combination of w1, W2, and w3 first. Enter your answer in the form [x1, x2]:
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