The matrices A1 - A2 Го A3 = [ ]. A4 = form a basis for the linear space V = M2×2. Write the matrix of the linear transformation T : M2×2 → M2×2 such that T(A) = to this basis. = 14A8A relative Let be the plane with equation X1 ― - 3x2 - 2x3 = 0 in R³. The linear transformation T (B) - E 1 7 -107 x1 1 -2 x2 2 2 -2 x3 maps V into V so, by restricting it to V, we may regard it as a linear transformation T: V → V. Find the matrix A of the restricted map Ĩ: V → V with respect to the basis A = = [88

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 78E: Let S={v1,v2,v3} be a set of linearly independent vectors in R3. Find a linear transformation T from...
icon
Related questions
Question
The matrices
A1
-
A2
Го
A3
=
[ ].
A4
=
form a basis for the linear space V = M2×2. Write the matrix of the linear transformation T : M2×2 → M2×2 such that T(A) =
to this basis.
=
14A8A relative
Transcribed Image Text:The matrices A1 - A2 Го A3 = [ ]. A4 = form a basis for the linear space V = M2×2. Write the matrix of the linear transformation T : M2×2 → M2×2 such that T(A) = to this basis. = 14A8A relative
Let be the plane with equation X1
―
- 3x2 - 2x3 = 0 in R³. The linear transformation
T
(B) - E
1 7
-107
x1
1 -2 x2
2 2 -2
x3
maps V into V so, by restricting it to V, we may regard it as a linear transformation T: V → V.
Find the matrix A of the restricted map Ĩ: V → V with respect to the basis
A =
=
[88
Transcribed Image Text:Let be the plane with equation X1 ― - 3x2 - 2x3 = 0 in R³. The linear transformation T (B) - E 1 7 -107 x1 1 -2 x2 2 2 -2 x3 maps V into V so, by restricting it to V, we may regard it as a linear transformation T: V → V. Find the matrix A of the restricted map Ĩ: V → V with respect to the basis A = = [88
Expert Solution
steps

Step by step

Solved in 2 steps with 11 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage