Matrices Examples
Basics
As always, there you are with two equations staring you dead in the face. For example:x + 4y = 6 and2x – 3y = 9Remember that variables are the letters, and coefficients are just the numbers in fr...
Beginning Operations
First, we'll learn how to make a coefficient matrix. We'll start with the following examples:x + 4y = 6 2x – 3y = 9 This is all fine and dandy; we know all about coefficients. The first e...
Cramer's Rule
Cramer's Rule has nothing to do with Seinfeld, guitars, or horrible movie divorces. It has everything to do with solving systems of equations using our uptight friends, determinants. That's how Cra...
Adding and Subtracting Matrices
Adding, Subtracting, and Matrices, Oh My!It's simple to add and subtract matrices, but they must always be the same size for it to work. The answers are always the same size too. Check it out:All...
Scalar Multiplication
Scalar Multiplication: One is the Loneliest Scalar?We can multiply matrices by scalars to produce new matrices, for example, when all of the payoffs in a game are doubled.We know what you're thinki...
Multiplying Matrices
Multiplying Matrices: Further Down the Rabbit HoleSo far, we've been dealing with operations that were reasonably simple: adding and subtracting matrices is limited to same-sized matrices, and scal...
In the Real World
Let's say you're working at A & F in the mall. You're in charge of shirts, because your manager thinks you have real promise. Don't let her down!First, you're doing an inventory of red polo shi...