Today was a review day on using matrices for multiple things, including finding the rotation, reflection, and scale change of any given shape on a coordinate system.
Today was a review day on using matrices for multiple things, including finding the rotation, reflection, and scale change of any given shape on a coordinate system.
In the post on lesson 163, we talked about matrices for reflection. In this post, we’re going to talk about matrices for rotation. The matrix for rotating something 90° can be written as the following two expressions: [-1 0] ×…
Scale changes is when you change the size of something either vertically or horizontally. On a coordinate system, this would look like this: (x,y)–> (ax, by). If the absolute value of either a or b is greater than 1, then…
Today was a review day on an extensive amount of matrix topics, including augmented matrices, solving linear systems of equations, and more.
What happens when you’re trying to solve a system of equations that has three or more equations in it? Worse still, what if there are more than two variables? The answer is simple. You use augmented matrices! The way you…
Solving linear systems refers to solving linear equations. The way that you solve them with matrices is simple. You can write these two equations: 7x + 5y = 3 3x – 2y = 22 By writing: [7 5] × [x]…
What is an identity matrix? An identity matrix is a matrix that has 1’s on the major diagonal (from top left to bottom right) and 0’s everywhere else. Here’s a couple: [ 1 0] [ 0 1] [1 0 0 ] […
Today was a review day on our first week that we’ve dealt with matrices.
Unlike adding or subtracting matrices, you don’t have to have the same dimensions when multiplying matrices. The one thing that you do have to have in common is that the first matrix has to have the same amount of columns…
You can’t add matrices that have different dimensions. For example: [ 2 -3 ] can’t be added to [ 1 ]. Adding matrices is easy though, if you do have the correct [ 7 5 ] [ 0 ] dimensions.…