Let 1 ( ! 1 1 0 → A = 0, We write T: R³ R3 for the linear transformation associated with A over the field K = R.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 20CR: Let T be a linear transformation from R3 into R such that T(1,1,1)=1, T(1,1,0)=2 and T(1,0,0)=3....
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1) Find a basis of the kernel of T.

2) Find a basis of the image of T.

Let
-
A = 2
1 1 1
11
100
3
We write T: R³ → R3 for the linear transformation associated with A over the field K = R.
Transcribed Image Text:Let - A = 2 1 1 1 11 100 3 We write T: R³ → R3 for the linear transformation associated with A over the field K = R.
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