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
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
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 5CM: Find the kernel of the linear transformation T:R4R4, T(x1,x2,x3,x4)=(x1x2,x2x1,0,x3+x4).
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75248f5c-2719-4287-81a4-5e6a0d930fd1%2F12c4ad4b-e896-489d-a4a1-c35c028578d3%2F6u3itm2_processed.png&w=3840&q=75)
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

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
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