SOLUTION: Let A = [ 3 2 ] and B = [ 1 0 -3 ] [ -4 -1 ] [ 4 -2 5 ] Find the products AB and BA, if these products exist.

Question 317365: Let A = [ 3 2 ] and B = [ 1 0 -3 ]
[ -4 -1 ] [ 4 -2 5 ]
Find the products AB and BA, if these products exist.

Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
The first thing to keep in mind that the number of columns in the first matrix (your matrix A) must equal the number of rows in your second matrix (your matrix B) in order to multiply the two matrices.
This is very important to know when multiplying two matrices.
Based on the above statement, multiplying your matrix A by matrix B is possible but the multiplication of your matrix B by matrix A does not exist or is undefined.
Are you with so far?
In other words, we can do AB but not BA.
This will take me too long to type. So, I worked out the multiplication on paper and decided to give you the answer.
AB = [11 -4 1]
...........[-8 2 7]
Done!

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