How do I multiply the matrix #((6, 4, 24),(1, -9, 8))# by the matrix #((1, 5, 0), (3, -6, 2))#?

1 Answer
Jul 9, 2018

You can't.

Explanation:

Given: #[(6, 4, 24), (1, -9, 8)] xx [(1, 5, 0),(3, -6, 2)]#

To multiply matrices the second matrix must have the same number of rows and the number of columns of the first matrix.

1st matrix: #2 xx 3 => 2 " rows by " 3 " columns"#

2nd matrix: #2 xx 3 => 2 " rows by " 3 " columns"#

To multiply, the 2nd matrix must be #3 xx 1 " or "3 xx 2 " or " 3 xx 3#, etc.

If we have a #n xx m# times a #m xx p#, the product would be a #n xx p#