7. Let R2x2 denote the vector space of real 2 x 2 matrices. Consider the 2 x 2 matrix and let W = {A € R2X2 : AX = XA}. (a) Show that W is a subspace of R2x2. (b) Find a basis for W.

Show more Show less

Answer


Allan
7. a) Ax = ANullspace is 0, null matrix is a subspace.b) basis is X forms a basis.
7. a) Ax = A
  
 
 
Nullspace is 0, null matrix is a subspace.
b) basis is
X forms a basis.
4
Preview(s) Left
Sign up to access premium study resources!

You've reached the limit of 5 previews.

Create an account to access document previews.

Already have an account?

Log In


OR

Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


OR

By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.


Submit