SOLUTION: Evaluate matrix equation (1 5) (1 2) (2, 3)(0 1)

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Question 85467: Evaluate matrix equation
(1 5) (1 2)
(2, 3)(0 1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If you have two general matrices
%28matrix%282%2C2%2Ca%2Cb%2Cc%2Cd%29%29%28matrix%282%2C2%2Ce%2Cf%2Cg%2Ch%29%29
We can multiply them like this
%28matrix%282%2C2%2Ca%2Ae%2Bb%2Ag%2Ca%2Af%2Bb%2Ah%2Cc%2Ae%2Bd%2Ag%2Cc%2Af%2Bd%2Ah%29%29

So for the matrices
%28matrix%282%2C2%2C1%2C5%2C2%2C3%29%29%28matrix%282%2C2%2C1%2C2%2C0%2C1%29%29
They can be multiplied like this:
%28matrix%282%2C2%2C1%2A1%2B5%2A0%2C1%2A2%2B5%2A1%2C2%2A1%2B3%2A0%2C2%2A2%2B3%2A1%29%29

%28matrix%282%2C2%2C1%2B0%2C2%2B5%2C2%2B0%2C4%2B3%29%29
which adds to
%28matrix%282%2C2%2C1%2C7%2C2%2C7%29%29