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If A and B are nxn matrices, then (A+B) (A+B) = A^2 +2AB + B^2.  Is it true or false?

Sagot :

i think it is true because matrices can be derive using algebra
but if you want a sure answer just experiment and make the matrix A and matrix B a real matrix by putting true value that what you want
(and not difficult* 2x2 is the most easiest to solve) and then perform the equation given if it is equal then the equation is true!