1. 1.8 – Basic Matrix Operations

2. Unit 1 – Algebra: Linear Systems, Matrices, & Vertex-Edge Graphs  1.8 – Basic Matrix Operations  Georgia Performance Standard:  MM3A4a – Add, subtract, multiply, and invert matrices, when possible, choosing appropriate methods, including technology.  MM3A4c – Examine the properties of matrices, contrasting them with properties of real numbers.

3. Vocabulary  Matrix  Dimensions  Elements  Equal Matrices  Scalar  Scalar Multiplication

4. So what is a matrix?  A matrix is a grid, with each location in the grid containing some information.  For example, a chess board is a matrix in which every square contains a specific item of information: a particular chess piece, or the lack of a chess piece.  How much a family eats a month, bills, mortgage  Name some other examples of matrices…

5. What exactly are we going to be doing with matrices? Dodging bullets?  Adding and subtracting  Multiply a matrix by a scalar  A scalar is a real number (All numbers on the number line)  Word problems (UH OH!!)

6. Add and subtract matrices  You can only add or subtract matrices if they’re the same in size  They need a matching number of rows and matching number of columns.  Example:  You cannot add a 3 X 2 matrix to a 2 X 3 matrix, but you can add two 3 X 2 matrices or two 2 X 3 matrices together  Same for subtracting