5. Let T: R2 R be defined by [x1 +2x2 T a. Find the matrix [T]B.B relative to the bases B = {u,, u} and B' = {v,, V2, V3}, where %3D u, = uz = V = V2 V3 = |0 b. Verify that Formula (5) holds for every vector in R2. 22
5. Let T: R2 R be defined by [x1 +2x2 T a. Find the matrix [T]B.B relative to the bases B = {u,, u} and B' = {v,, V2, V3}, where %3D u, = uz = V = V2 V3 = |0 b. Verify that Formula (5) holds for every vector in R2. 22
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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Please solve this question in handwriting. Again please solve this question in handwriting step by step.
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5. Let T: R2 → R3 be defined by
X+2x2
a. Find the matrix [T]BB relative to the bases B = {u,, u,}
and B' = {v, V2, V3}, where
%3D
u, =
uz =
21
V =
V2 =|2
V3 =
= 10
b. Verify that Formula (5) holds for every vector in R2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05419715-1bd0-4457-a143-03af22167dbf%2F964ff30e-29a6-48b4-a37d-2c23a161e15e%2Fqe7ejza_processed.jpeg&w=3840&q=75)
Transcribed Image Text:y
5. Let T: R2 → R3 be defined by
X+2x2
a. Find the matrix [T]BB relative to the bases B = {u,, u,}
and B' = {v, V2, V3}, where
%3D
u, =
uz =
21
V =
V2 =|2
V3 =
= 10
b. Verify that Formula (5) holds for every vector in R2.
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