Let B = Since the coordinate mapping determined by B is a linear transformation from R² into R², this mapping must be implemented by some 2x2 matrix A. Find it. [Hint: Multiplication by A should transform a vector x into its coordinate vector [x]8.] 3 {-1}|-| -5 A =

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 11CM
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Let B =
Since the coordinate mapping determined by B is a linear transformation from R² into
R², this mapping must be implemented by some 2x2 matrix A. Find it. [Hint: Multiplication by A should transform a
vector x into its coordinate vector [x]8.]
3
{-1}|-|
-5
A =
Transcribed Image Text:Let B = Since the coordinate mapping determined by B is a linear transformation from R² into R², this mapping must be implemented by some 2x2 matrix A. Find it. [Hint: Multiplication by A should transform a vector x into its coordinate vector [x]8.] 3 {-1}|-| -5 A =
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