Lesson 10
Introduction to Matrices
Welcome
In this lesson, we will cover some of the basic properties of a matrix. Matrices (the plural of matrix) provide us with an interesting way to store data in a two dimensional form. Remember that your main goal is to understand how to input matrices of various sizes; but I hope that you find the mathematical side of matrices interesting.
Lesson Goals
- To understand how to name a matrix
- To become comfortable using matrix terminology
- To be able to add two matrices
- To be able to multiply two matrices
- To be able to read the solution to a system of equations from a matrix in reduced row echelon form
In Lesson 10 you will learn how to:
- Create matrices of various sizes
- Find the dimensions of a matrix
- Add two matrices
- Multiply two matrices
- Multiply a matrix by a scalar
- Solve a system of equations
- Create an identity matrix
Upon completion of this lesson you will be able to answer the following questions:
- When can two matrices be added?
- When can two matrices be multiplied?
- When two matrices are multiplied, what will the dimensions of the resulting matrix be?
- How do we multiply a matrix by a scalar?
- Name three ways to solve a system of two equations with two unknowns.
- How can we verify that (x=-3, y=-4) is a solution to 3x – 5y = 11 using the ClassPad?
Time Required
About 60 minutes.