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]
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]
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 69E: Find a basis for R2 that includes the vector (2,2).
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2e97f32-5988-4deb-9547-eb6ce37eb1f3%2F5986dab0-924e-406b-943c-ab45febab569%2Fc4b90po_processed.png&w=3840&q=75)
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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