2. Find a basis for the kernel of the linear transformation T: R5 → R³ defined by T(x) = Ax, where vectors in R³ and R5 are written as columns, 1 2 -3 4-5 A = 1 -1 0 1 -2 1 0 1 0 -1 and Ax denotes matrix multiplication. Show all your work! continued on next page!!!! 1

2. Find a basis for the kernel of the linear transformation T: R5 → R³ defined by T(x) = Ax, where vectors in R³ and R5 are written as columns, 1 2 -3 4-5 A = 1 -1 0 1 -2 1 0 1 0 -1 and Ax denotes matrix multiplication. Show all your work! continued on next page!!!! 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.8: Determinants

Problem 8E

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Question

2. Find a basis for the kernel of the linear transformation T: R5 → R³
defined by T(x) = Ax, where vectors in R³ and R5 are written as
columns,
1
2
-3 4-5
A =
1
-1
0
1 -2
1
0
1
0 -1
and Ax denotes matrix multiplication.
Show all your work!
continued on next page!!!!
1

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