anonymous
  • anonymous
Can anyone prove y this identity wouldn't work for matrices
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
(a+b)(a+b)=a^2+2ab+b^2
JamesJ
  • JamesJ
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.
anonymous
  • anonymous
Ok great thanks :D

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anonymous
  • anonymous
problem is with the commutative law \[(a+b)(a+b)=a^2+ab+ba+b^2\]and .. . what jamesj said
anonymous
  • anonymous
ok Good but I think I need to use an arguement
anonymous
  • anonymous
I have to show by example and arguement
anonymous
  • anonymous
Do i shld just say abt commutative law ok?
anonymous
  • anonymous
a counter example is all you need. it is almost never the case that AB =BA
anonymous
  • anonymous
Alrighty Thanks :D
JamesJ
  • JamesJ
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 ]
anonymous
  • anonymous
Thanks

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