Let V be the plane with equation x1 - 3x2 - 2x3 = 0 in R³. The linear transformation T 1 7 -10 x1 (B)- {8·0} 1 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 Ĩ: V → V. Find the matrix A of the restricted map Ĩ: V → V with respect to the basis

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).
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Let V be the plane with equation x1 - 3x2 - 2x3 = 0 in R³. The linear transformation
T
1 7 -10
x1
(B)-
{8·0}
1 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 Ĩ: V → V.
Find the matrix A of the restricted map Ĩ: V → V with respect to the basis
Transcribed Image Text:Let V be the plane with equation x1 - 3x2 - 2x3 = 0 in R³. The linear transformation T 1 7 -10 x1 (B)- {8·0} 1 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 Ĩ: V → V. Find the matrix A of the restricted map Ĩ: V → V with respect to the basis
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