SOLUTION: If A and B are n×n matrices, then (A + B)(A – B) = A^2 – B^2.

Algebra ->  Matrices-and-determiminant -> SOLUTION: If A and B are n×n matrices, then (A + B)(A – B) = A^2 – B^2.      Log On


   

Question 1101239: If A and B are n×n matrices, then (A + B)(A – B) = A^2 – B^2.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

That's false.  Here's a counter-example:









  <--this does not equal to





  <-- this

So as you see, %28A%2BB%29%28A-B%29%22%22%3C%3E%22%22A%5E2-B%5E2

They are not equal.

Edwin