You often run into situations where you will need to multiply a matrix by whole number or even another matrix. If you are finding the product of a matrix and a whole number you just multiply your scalar (the whole number) by each individual element and leave them in the right set. When you multiply two matrices you perform a dot product this is where you multiply matching numbers.

When we multiply two matrices, the criterion for calculations is a bit different. For instance, they don't look at each element but a condition, i.e., m*n × n*p. The elements represent rows and columns of both matrices. To fulfill the conditions both n should be equal for multiplication to work. In other words, you have to multiply the first row of the first matrix with each column of the second matrix and then multiply the next row similarly and so on. These worksheets explain how to multiply matrices of equal or different sizes together and how to multiply a matrix by a number. The matrices may be in 1x2, 2x2, 2x3, or 3x3 configurations.