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Multiplying Matrices

We'll use the rows of B and column 2 of A to fill in the rest:

A = [ row 1: -1 , 5 row 2: 2 , -3 ] ... B = [ row 1: 0 , 9 row 2: 8 , -6 row 3: 4 , 7 ] ... use column 2 of matrix A and row 2 of matrix B ... -27 goes in entry c12 of the answer matrix c 

 

 

 

( 0 ) ( 5 ) + ( 9 ) ( -3 ) = -27

 

A = [ row 1: -1 , 5 row 2: 2 , -3 ] ... B = [ row 1: 0 , 9 row 2: 8 , -6 row 3: 4 , 7 ] ... use column 2 of matrix A and row 2 of matrix B ... 58 goes in entry c22 of the answer matrix c 

 

 

 

( 8 ) ( 5 ) + ( -6 ) ( -3 ) = 58

 

A = [ row 1: -1 , 5 row 2: 2 , -3 ] ... B = [ row 1: 0 , 9 row 2: 8 , -6 row 3: 4 , 7 ] ... use column 2 of matrix A and row 3 of matrix B ... -1 goes in entry c32 of the answer matrix c 

 

 

 

( 4 ) ( 5 ) + ( 7 ) ( -3 ) = -1

So...

BA = [ row 1: 18 , -27 row 2: -20 , 58 row 3: 10 , -1 ]