Can anyone prove y this identity wouldn't work for matrices

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Can anyone prove y this identity wouldn't work for matrices

Mathematics
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(a+b)(a+b)=a^2+2ab+b^2
This identity is true if and only if AB = BA. So you need just one example of a pair of matrices A and B where that is not the case.
Ok great thanks :D

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problem is with the commutative law \[(a+b)(a+b)=a^2+ab+ba+b^2\]and .. . what jamesj said
ok Good but I think I need to use an arguement
I have to show by example and arguement
Do i shld just say abt commutative law ok?
a counter example is all you need. it is almost never the case that AB =BA
Alrighty Thanks :D
Write down a pair of 2x2 matrices and see if commute. [ If you know anything about linear transformations, here are two that don't commute and you can see it geometrically: - A = rotation pi/2 anti-clockwise - B = reflection in the x-axis ]
Thanks

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