If matrix a has dimensions 3 x 2 and matrix b has dimensions 3 x 2, can matrix a and matrix b be multiplied?

Matrix A has 3 rows, 2 columns
Matrix B has 3 rows, 2 columns

The number of columns in matrix A (which is 2) does not match up with the number of rows in matrix B (which is 3). 

So the matrix multiplication A*B is undefined. We cannot multiply the matrices.