• Support PF! Buy your school textbooks, materials and every day products Here!

Give an example of a linear transformation

  • Thread starter Tonyt88
  • Start date
  • #1
62
0

Homework Statement


Give an example of a linear transformation whose kernel is the line spanned by:

-1
1
2

in lR³

Homework Equations





The Attempt at a Solution



Would:

1..(-1)...0
0....0.....0
0..(-2)...1

be a solution?
 

Answers and Replies

  • #2
150
0
To prove it, prove your vector is in the kernel and that the dimension of the col. space is 3 - nullity = 2.
 
  • #3
HallsofIvy
Science Advisor
Homework Helper
41,808
933
It quite obviously isn't since Av is not 0. Are you clear on the definition of "kernel"?

Actually your matrix has only a single entry wrong so it may be just a typo.
 

Related Threads on Give an example of a linear transformation

Replies
1
Views
544
Replies
3
Views
1K
Replies
4
Views
651
Replies
8
Views
1K
Replies
8
Views
2K
Replies
2
Views
7K
Replies
3
Views
1K
Replies
1
Views
643
Top