Question

If 2 A B + A B 1 + 4 7 = B 1 8 and 1 2 A + 6 A B + 8 1= A 0 9, then find A and B.
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Answer 1

$If A = [2 1], B = [583746][534876] and C =  [−112012][−121102], verify that A(B + C) = (AB + AC).$