own example for A&B such that AB≠BA
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Step-by-step explanation:
It simply isn't true that AB=BA, except in very special cases, such as if both A and B are diagonal.
For instance, for general 2×2 matrices A=and B=
we have
AB=
while
BA=
and you can clearly see that there are loads of choices for a,b,c,d,r,s,t,u that makes these two matrices different.
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