# How do you multiply ((2), (1)) with ((1, 2, 4), (-2, 3, 1))?

Feb 18, 2016

Product of the two matrices is undefined.

#### Explanation:

You can multiply two matrices if, and only if, the number of columns in the first matrix equals the number of rows in the second matrix. Otherwise, the product of two matrices is undefined.

As in the first matrix, say $A$ there is one column and in second, say $B$ there are two rows, it is not possible to arrive at $A B$.

Further, $B$ has three columns and $A$ has two rows, hence it is also not possible to arrive at $B A$.

Hence product of the two matrices is undefined.