Let L: R2 R2 be defined by L 4*]-[***] represents the coordinates of v in the standard ordered basis. A = ↓ 1 •{[:] [:) Using the standard ordered basis find a matrix A such that [L(x)] = A[x] for all x E R2. Here, given a vector v, [v]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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Let L: R² R2 be defined by L
4]-[***]
=
x2
X1
represents the coordinates of v in the standard ordered basis.
A =
↓ ↑
{:] [:)}-
find a matrix A such that [L(x)] = A[x] for all x € R². Here, given a vector v, [v]
I
Using the standard ordered basis
Transcribed Image Text:+ Let L: R² R2 be defined by L 4]-[***] = x2 X1 represents the coordinates of v in the standard ordered basis. A = ↓ ↑ {:] [:)}- find a matrix A such that [L(x)] = A[x] for all x € R². Here, given a vector v, [v] I Using the standard ordered basis
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