(Solution Library) Let A and B be arbitrary n x n matrices whose entries are real numbers. Use basic matrix laws only to expand (A + B) 2 . Explain all steps.


Question: Let A and B be arbitrary n x n matrices whose entries are real numbers.

  1. Use basic matrix laws only to expand (A + B ) 2 . Explain all steps. Note the basic matrix laws are given in your notes. Hint: Use the distributive laws.
  2. Is A 2 – B 2 = (A - B)(A + B)

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