This question is titled Solving for A in a Linear System.

[annoymage]

Homework Statement

let A (2x2 real matrices),

If AB=BA for all B (2x2 real matrices) , show that A=bI₂ for all b ( b are real numbers)

Homework Equations

N/A

The Attempt at a Solution

can anyone give me clue for this one too

 

[Gregg]

Having done the other one, you can definitely do this one. Just formulate it in a similar way.

AB-BA=0