Let T: R² R² be defined by T Let u = T(u): ¹([^])=[^²=²] = X2 H | amnet C = { v₁ = [!] > v₂ = [2]} Find T(u), the image of u under T. Find [T(u)]c, the coordinatization of T(u) with respect to the basis C. Ex: 5 x2 [T(u)]c = [
Let T: R² R² be defined by T Let u = T(u): ¹([^])=[^²=²] = X2 H | amnet C = { v₁ = [!] > v₂ = [2]} Find T(u), the image of u under T. Find [T(u)]c, the coordinatization of T(u) with respect to the basis C. Ex: 5 x2 [T(u)]c = [
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
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Question
![Let T: R² R² be defined by T
Let u =
T(u):
¹([^])=[^²=²]
=
X2
H | amnet C = { v₁ = [!] > v₂ = [2]}
Find T(u), the image of u under T. Find [T(u)]c, the coordinatization of T(u) with respect to the basis C.
Ex: 5
x2
[T(u)]c = [](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F974a6490-992c-41a2-b80f-51ad98fb1a32%2F83631491-9077-47e1-986f-651298ecf50a%2Frtccc6l_processed.png&w=3840&q=75)
Transcribed Image Text:Let T: R² R² be defined by T
Let u =
T(u):
¹([^])=[^²=²]
=
X2
H | amnet C = { v₁ = [!] > v₂ = [2]}
Find T(u), the image of u under T. Find [T(u)]c, the coordinatization of T(u) with respect to the basis C.
Ex: 5
x2
[T(u)]c = [
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