9. Consider the following 2 x 2 matrix A and basis S of R²: = [] and 5 = {[¹²₂] [²³₂]} The matrix A defines a linear operator on R2. Find a matrix B that represents the mapping A relative to the basis S.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
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9. Consider the following 2 x 2 matrix
A and basis S of R²:
A
¹ = [² %) and 5 = {[_¹₂] · [_³;]}
The matrix A defines a linear
operator on R². Find a matrix B that
represents the mapping A relative to
the basis S.
Transcribed Image Text:9. Consider the following 2 x 2 matrix A and basis S of R²: A ¹ = [² %) and 5 = {[_¹₂] · [_³;]} The matrix A defines a linear operator on R². Find a matrix B that represents the mapping A relative to the basis S.
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