If matrix A has dimensions 2 X 3 and matrix B has dimensions 3 X 6, can the two matrixs be multiplied

Question

If matrix A has dimensions 2 X 3 and matrix B has dimensions 3 X 6 can the two matrixs be multiplied?

Answer 1

A matrix can be multiplied by Another matrix if the left hand side or origin matrix has the same number of columns as the right hand side matrix has rows, in this case the product A B can be done.

Answer 2

The matrix product   C =  A B     yields a 2 x 6 matrix.  

However,  the product   B A   is not possible (not defined).

Answer 3

yes.

As long as the numbers of columns of the first matrix is equal to the numbers of the rows of the second matrix.

Take a look a video from Youtube.

https://www.youtube.com/watch?v=sYlOjyPyX3g