SOLUTION: On what condition the property holds in matrices {{{ A^2 - B^2}}} = (A - B).(A + B) where A and B are square matrices of order 'n'.

Algebra ->  Test -> SOLUTION: On what condition the property holds in matrices {{{ A^2 - B^2}}} = (A - B).(A + B) where A and B are square matrices of order 'n'.      Log On


   



Question 1184161: On what condition the property holds in matrices +A%5E2+-+B%5E2 = (A - B).(A + B) where A and B are square matrices of order 'n'.
Answer by ikleyn(52767) About Me  (Show Source):
You can put this solution on YOUR website!
.

It is  TRUE  if and only if   AB = BA.