The product of the matrices is
.
Multiplication of two matrices possible if the number of columns in the first matrix equals the number of rows in the second matrix.
\The dimensions of the matrix
are
and the number of columns in the matrix is
.
The dimensions of the matrix
are
and the number of the rows in the matrix is
.
The number of columns in the matrix
equals the number of rows in the matrix
.
Therefore, matrix product
is possible.
Its dimensions are
.
.
The matrix product
is defined and matrix
dimensions are
.