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Middle School Math Solutions – Expand Calculator, FOIL Method
In our last blog post we covered the distributive law. In this blog post, we will focus on an application of the distributive law, the FOIL method. The FOIL method is used when multiplying two...
View ArticleMiddle School Math Solutions – Expand Calculator, Polynomial Multiplication
As of right now, you should be familiar with the distributive law and the FOIL method. We will now use both of them and apply them to our next topic, polynomial multiplication. Recall: A polynomial is...
View ArticleMiddle School Math Solutions – Expand Calculator, Two Squares
The difference of two squares is an application of the FOIL method (refer to our blog post on the FOIL method). The difference of two squares is a number or term squared subtracted from another...
View ArticleMiddle School Math Solutions – Expand Calculator, Perfect Squares
The perfect square formula is an application of the FOIL method that will help you calculate the square of a binomial quickly. Let’s take a look at the formula:...
View ArticleMiddle School Math Solutions – Expand Calculator, Perfect Cube
Similarly to the perfect square formula, which we covered in the last post, we get the perfect cube formula. The perfect cube is when we cube a binomial. We use polynomial multiplication and the FOIL...
View ArticleMiddle School Math Solutions – Expand Calculator, Binomial Expansion
We’ve learned how to expand perfect squares and perfect cubes. Now, we are going to learn how to expand binomials raised to any positive integers. Imagine having to expand a binomial raised to a power...
View ArticleMiddle School Math Solutions – Order of Operations Calculator
Given a problem like, 3×5-2, you might be wondering “how do I solve this?” since there are two possible ways.Option 1: (3×5)-2=15-2=13Option 2: 3×(5-2)=3×3=9 This is where the order of operations comes...
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High School Math Solutions - Matrix Add, Subtract Calculator, Matrices
A matrix is an array of numbers, symbols, or expressions that are displayed in rows and columns. The dimension of a matrix are written as r x n, where r is the number of rows and n is the number of...
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High School Math Solutions - Matrix Multiply Calculator, Matrix Scalar...
Last blog post, we talked about how to add and subtract matrices. Now, we will start getting into multiplication for matrices. There are two types: scalar multiplication and matrix multiplication. In...
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High School Math Solutions - Matrix Transpose Calculator, Transpose
The transpose of a matrix is when you turn all the rows of a matrix into columns and vice versa. Row 1 becomes column 1, row 2 becomes column 2, and so on. The transpose of a matrix, A, is denoted A^T....
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Advanced Math Solutions - Matrix Multiply, Power Calculator, Matrix...
In a previous blog post, we talked about one type of multiplication for matrices, scalar multiplication. In this blog post be will talk about the other type of multiplication for matrices, matrix...
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Advanced Math Solutions - Matrix Multiply, Power Calculator, Matrix Powers
If you haven’t mastered matrix multiplication, check out our last blog post on matrix multiplication before continuing onto the next topic. In this blog post, we will talk about powers of matrices. The...
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High School Math Solutions - Matrix Multiply Calculator, Matrix Scalar...
Last blog post, we talked about how to add and subtract matrices. Now, we will start getting into multiplication for matrices. There are two types: scalar multiplication and matrix multiplication. In...
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Advanced Math Solutions - Matrix Trace Calculator, Matrix Trace
In today’s blog post, we will go over how to calculate the trace of a matrix. However, first, it is important to go over what the diagonal of a matrix is. The main diagonal of an n x n matrix consists...
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Advanced Math Solutions - Matrix Row Echelon Calculator, Gaussian Elimination...
In our previous blog posts, we talked about the Matrix basics. Now, we are ready to talk about a more advanced matrix topic, Gaussian Elimination (also known as row echelon form). The Gaussian...
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Advanced Math Solutions - Matrix Gauss Jordan Reduction Calculator, Gauss...
In our previous blog posts, we talked about Row Echelon Form (Gaussian Elimination). If you haven’t, please look over it before continuing with this blog post. In this blog post, we’ll talk about...
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Advanced Math Solutions - Matrix Inverse Calculator, Matrices
In this blog post, I will talk about how to get the inverse of a matrix. Please refresh yourself on RREF before continuing, if you haven’t mastered this topic yet.What is the inverse of a matrix? The...
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Advanced Math Solutions - Matrix Inverse Calculator, Determinants
Last blog post, I talked about what the inverse of a matrix is. In this blog post, I will go over what the determinant of matrix is and how to calculate. The determinant is a value calculated from an...
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High School Math Solutions - Matrix Inverse Calculator, Matrices (Part 2)
In the last two blog posts, I talked about how to find the inverse of a matrix and how to calculate the determinant of the matrix. Please review these two blog posts before continuing, if you are not...
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Advanced Math Solutions - Matrix Rank Calculator, Matrices
In the last two blog posts, we talked about Row Echelon Form (REF) and Reduced Row Echelon Form (RREF). In this blog post, we will talk about matrix rank. Determining a matrix’s rank will involve using...
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Advanced Math Solutions - Series Convergence Calculator, Geometric Series
Series are an important part of Calculus. In this next series of blog posts, I will be discussing infinite series and how to determine if they converge or diverge. For a refresher: A series is the sum...
View ArticleHigh School Math Solutions - Series Convergence Calculator, p-Series Test
Last blog post, we discussed what an infinite series is and how to determine if an infinite series converges using the geometric series test. In this blog post, we will discuss how to determine if an...
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Advanced Math Solutions - Series Convergence Calculator, Alternating Series Test
Last blog post, we discussed how to determine if an infinite p-series converges using the p-series test. In this blog post, we will discuss how to determine if an infinite alternating series converges...
View ArticleAdvanced Math - Series Convergence Calculator, Telescoping Series Test
Last blog post, we went over what an alternating series is and how to determine if it converges using the alternating series test. In this blog post, we will discuss another infinite series, the...
View ArticleAdvanced Math Solutions - Series Convergence Calculator, Series Ratio Test
In our Series blogs, we’ve gone over four types of series, Geometric, p, Alternating, and Telescoping, and their convergence tests. Now, we will focus on convergence tests for any type of infinite...
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