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Math Lesson 165: Review

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.

Posted in Internet Math, Math, Matrices, Review

Math Lesson 164: Matrices for Rotation

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] ×

Posted in Internet Math, Math, Matrices

Math Lesson 162: Matrices for Scale Changes

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

Posted in Internet Math, Math, Matrices

Math Lesson 160: Review

Today was a review day on an extensive amount of matrix topics, including augmented matrices, solving linear systems of equations, and more.

Posted in Algebra, Internet Math, Math, Matrices, Review

Math Lesson 159: Augmented Matrices

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

Posted in Algebra, Internet Math, Math, Matrices

Math Lesson 158: Solving Linear Systems with Matrices

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]

Posted in Algebra, Internet Math, Math, Matrices

Math Lesson 157: Identity and Inverse Matrices

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 ] [

Posted in Algebra, Internet Math, Math, Matrices

Math Lesson 155: Review

Today was a review day on our first week that we’ve dealt with matrices.

Posted in Internet Math, Math, Matrices, Review

Math Lesson 154: Multiplying 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

Posted in Internet Math, Math, Matrices

Math Lesson 153: Adding and Subtracting Matrices

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.

Posted in Internet Math, Math, Matrices
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