(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determint the subspace fo R^{2x2}consisting of all matrices that commute with the given matrix:

a) A=[(1,0)^T,(0,-1)^T]

c) A=[(1,0)^T,(1,1)^T]

2. Relevant equations

3. The attempt at a solution

What I need to show is that AB=BA. So, I am trying to see when it happens...

I think I got them right buy let me see:

let B be any matrix in the subspace

a) S= {B | b_{12}=b_{21}=0} OR it should be S= {B | b_{12}=-b_{21}}

c) S= {B | b_{21}=0 and b_{11}=b_{22}}

are they correct ?

perhaps Im a little off with the notations :\

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# Homework Help: Linear Algebra- Commuting matrix

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