We denote the subspace spanned by the first two columns of A by U, and the subspace spanned by the last three columns of A by V . It's asked to determine a basis of U ∩ V

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter30: Customary And Metric Steel Rules
Section: Chapter Questions
Problem 6A
icon
Related questions
Question

We denote the subspace spanned by the first two columns of A by U, and the subspace spanned by the last three columns of A by V . It's asked to determine a basis of U ∩ V, Please do it step by step, I got to the point of determining the null space which is (1/3, -1/3, 1, 1, 1)x5, but what happens after that?

A :
=
1
-2
0
1
1
1
0
1
-1 1
4
3
0
3
-2 1 1
-1
-2
-2
−3
Transcribed Image Text:A : = 1 -2 0 1 1 1 0 1 -1 1 4 3 0 3 -2 1 1 -1 -2 -2 −3
Expert Solution
steps

Step by step

Solved in 4 steps with 48 images

Blurred answer
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell