How do you multiply #((2, 3, -1), (-1, 0, 5))# with #((1, 0, 2), (1, 2, 1), (3, 5, 3))#?

1 Answer

The first matrix lets call it #A=((2, 3, -1), (-1, 0, 5))# is a 2 row by 3 column matrix and the second #B=((1, 0, 2), (1, 2, 1), (3, 5, 3))# is a 3 row by 3 column matrix.

Their product will be 2 rows by 3 columns matrix #C#.

You multiply the first row of A with each column in B and then the second row of A with each column in B. Hence you get

#C=A*B=((2 ,1, 4),(14,25,13))#