Let Find the image of an arbitrary vector T Let T: R² R2 be the linear transformation satisfying → ([*]) || = 18 71 = X [3] T(v₁) = [-25²] 21 and 2 and H T(√₂) = [-2⁰].

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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Let
Find the image of an arbitrary vector
T
Let T : R² → R² be the linear transformation satisfying
T(v₁) = [-5²]
21
([*]) -18
||
V₁
X
=
8
and 72
and
- H
=
-20
T(√₂) = [-3⁰].
8
Transcribed Image Text:Let Find the image of an arbitrary vector T Let T : R² → R² be the linear transformation satisfying T(v₁) = [-5²] 21 ([*]) -18 || V₁ X = 8 and 72 and - H = -20 T(√₂) = [-3⁰]. 8
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