Multiplication of two matrices is possible if the number of columns in the first matrix equals the number of rows in the second matrix.
\Let A be the first matrix and B be the second matrix.
\The dimensions of the first matrix A are
, so the number of the columns in the first matrix is 2.
The dimensions of the second matrix B are
, so the number of the rows in the second matrix B is 2.
The number of columns in the first matrix equals the number of rows
\in the second matrix. So, matrix product is possible and its dimensions are
.
Let P be the matrix product.
\
The matrix P is
\


Simplify the product matrix.
\
The product matrix is
.