How do you multiply #((0, 2, 1), (-5, -1, 0))# and #((1, -4, 0), (1, 5, -1))#?

1 Answer
Mar 23, 2016

They cannot be multiplied as number of rows of first matrix is #2# and number of columns of the second matrix B is #3#

Explanation:

The general rule is that an #nxxp# matrix A (with n rows and p columns) can be multiplied by a #pxxm# matrix B (with p rows and m columns) to form an #nxxm# matrix AB = C.

This means that that number of rows of first matrix A must be equal to number of columns of the second matrix B.

In the given cases, as number of rows of first matrix is #2# and number of columns of the second matrix B is #3, they cannot be multiplied.