1.8 – Basic Matrix Operations
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.
Vocabulary Matrix Dimensions Elements Equal Matrices Scalar Scalar Multiplication
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…
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!!)
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