In Exercises 9 through 14, let f : R² → R³ be the matrix transformation defined by f (x) = Ax, where 1 A = | 0 1 1 Determine whether each given vector w is in the range of f. 0. 9. w = 10. w = 11. w = 2 8. 12. w = 13. w = 4 14. w = 3

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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In Exercises 9 through 14, let f : R² → R³ be the matrix
transformation defined by f (x) = Ax, where
1
A = | 0 1
1
Determine whether each given vector w is in the range of f.
0.
9. w =
10. w =
11. w =
2
8.
12. w =
13. w =
4
14. w =
3
Transcribed Image Text:In Exercises 9 through 14, let f : R² → R³ be the matrix transformation defined by f (x) = Ax, where 1 A = | 0 1 1 Determine whether each given vector w is in the range of f. 0. 9. w = 10. w = 11. w = 2 8. 12. w = 13. w = 4 14. w = 3
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