2. Determine a generating set for the range of the linear transformation T: R4 → R3X1 – X2 - 3x3 – 2x4-X1 + 2x2 + 4x3 +5x4X1 – 2x3 + X4X1 + x2 – X3 + 4x4X1X2TX3

To determine the generating set of range space of the linear transformation means to find the basis…

Answered: 2. Determine a generating set for the…

2. Determine a generating set for the range of the linear transformation T: R4 → R3 [X1 脚十 X1 - x2 - 3x3 – 2x4 -X1 + 2x2 + 4x3 + 5x4 X1 - 2x3 + x4 X1 + x2 - X3 + 4x4 | X2 X3 %3D X4

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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Question

2. Determine a generating set for the range of the linear transformation T: R4 → R3
X1 – X2 - 3x3 – 2x4
-X1 + 2x2 + 4x3 +5x4
X1 – 2x3 + X4
X1 + x2 – X3 + 4x4
X1
X2
T
X3

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