nal projection onto the plane x + 2y+3z = 0 %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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25 please

Describe the images and kernels of the transformations in
Exercises 23 through 25 geometrically.
1
3
41
12. A =
1
2 3
0 0
1
23. Reflection about the line y = x/3 in R2
120
CHAPTER 3 Subspaces of R" and Their Dimensions
transformation T from R³ to R' given by
24. Orthogonal projection onto the plane x + 2y + 3z = 0
in R3
T (X) = i x ỉ.
25. Rotation through an angle of /4 in the counterclock-
wise direction (in R²)
See Definition A 0 in the A pnendix
Transcribed Image Text:Describe the images and kernels of the transformations in Exercises 23 through 25 geometrically. 1 3 41 12. A = 1 2 3 0 0 1 23. Reflection about the line y = x/3 in R2 120 CHAPTER 3 Subspaces of R" and Their Dimensions transformation T from R³ to R' given by 24. Orthogonal projection onto the plane x + 2y + 3z = 0 in R3 T (X) = i x ỉ. 25. Rotation through an angle of /4 in the counterclock- wise direction (in R²) See Definition A 0 in the A pnendix
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