## Multiplying monomials

Here we explain how to multiply monomials. Also, you will see several examples of multiplication of monomials and exercises solved step by step. Finally, you will find the properties of the product of monomials. Table of Contents How to multiply monomialsExamples of multiplication of monomialsPractice problems on multiplication of monomialsProperties of multiplication of monomials How …

## Like terms

Here you will find the explanation of what like terms are. In addition, you will see examples of like terms and solved exercises of this type of monomials. Table of Contents What are like terms?Examples of like termsPractice problems of like terms What are like terms? The definition of like terms is as follows: Like …

## Cramer’s rule

On this post we explain what Cramer’s rule is and, in addition, you will find examples and exercises of systems of equations solved by Cramer’s rule. Table of Contents Cramer’s rule formulaCramer’s rule examplePractice problems of Cramer’s rule Cramer’s rule formula Cramer’s rule is a formula used to solve systems of linear equations using determinants. …

## Eigenvalues and eigenvectors of a matrix

On this post we explain what the eigenvalues and the eigenvectors of a matrix are. You will also find examples of how to compute the eigenvalues and the eigenvectors of a matrix, and finally, you have problems with solutions solved step by step to practice. Table of Contents What are the eigenvalues and the eigenvectors …

## Jacobian matrix and determinant

On this post you will find what the Jacobian matrix is and how to calculate it. In addition, you have several solved Jacobian matrix exercises to practice. You will also see why the determinant of the Jacobian matrix, the Jacobian, is so important. Finally, we explain the applications that this type of matrix has. Table …

## Hessian matrix

On this post we explain what the Hessian matrix is and how to calculate it (with examples). Also, you will find several solved exercises so that you can practice. In addition, you will see all the applications of the Hessian matrix. And finally, we will show you what the bordered Hessian matrix is. Table of …

## Involutory matrix

On this post we explain what an involutory matrix is. We also show you examples of 2×2, 3×3 and 4×4 involutory matrices. And finally, you will find the formula of an involutory matrix and all the properties of this type of matrices. Table of Contents What is an involutory matrix?Examples of involutory matrices Example of …

## Gaussian elimination method

On this post you will learn what the Gaussian elimination method is and how to solve a system of equations by the Gaussian elimination method. Table of Contents What is the Gaussian elimination method?Augmented matrix of a system of linear equationsElementary row operations How to do Gaussian elimination What is the Gaussian elimination method? The …

## Inverse of a matrix

We explain what the inverse of a matrix is and how to find it. You will learn the formulas to calculate the inverse of a 2×2 matrix and the inverse of a 3×3 matrix. Also, you will see several solved examples. And finally, we explain the properties of the inverse matrix. Table of Contents What …