- #1
vdgreat
- 11
- 0
Let D =
[d11 d12]
[d21 d22]
be a 2x2 matrix. Prove that D commutes with all other 2x2
matrices if and only if d12 = d21 = 0 and d11 = d22.
I know if we can prove for every A, AD=DA should be true, but I really don't know how to proceed from there. I tried equating elements of AD with DA but that really didnt help.
Can anyone help me with this problem. Thanks..
[d11 d12]
[d21 d22]
be a 2x2 matrix. Prove that D commutes with all other 2x2
matrices if and only if d12 = d21 = 0 and d11 = d22.
I know if we can prove for every A, AD=DA should be true, but I really don't know how to proceed from there. I tried equating elements of AD with DA but that really didnt help.
Can anyone help me with this problem. Thanks..