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Prove that if A and B are 2x2 matrices, then (A + B)^(2) = A^(2) +...

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Basic Math

Prove that if A and B are 2x2 matrices, then (A + B)^(2) = A^(2)+ AB + BA + B^(2). Hint: Write out 2x2 matrices for A and B usingvariable entries in each location and perform the operations oneither side of the equation to determine whether the two sides areequivalent.

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