Multiplying a matrix by a matrix

The  exercise appears under the Algebra II Math Mission. This exercise plays with multiplication of matrices.

Types of Problems
There is one type of problem in this exercise:


 * 1) Find the product of the matrices: This problem has two matrices that are being multiplied. The student is asked to find the product and write the entries in the matrix template.Mambam1.png

Strategies
Knowledge of matrix multiplication or dot product is encouraged to ensure success on this exercise.
 * 1) Multiplying matrices requires that there are the same number of columns in the first matrix as rows on the second matrix.
 * 2) The ABij entry of the product matrix is the dot product of the ith row of the A matrix with the jth column of the B matrix.
 * 3) Some calculators can be used to perform operations such as multiplication on matrices.

Real-life Applications

 * 1) Matrices are intimately connected with Linear Algebra.
 * 2) Matrices can be used to represent data sets with cross relationships.
 * 3) Matrices have applications in number theory and cryptography.
 * 4) Matrix multiplication can be used to represent composition of linear transformations.