## Similar matrices

Here you will find the explanation of similar matrices. We show you a clear example of two similar matrices and all the properties of this type of matrices so that you have no doubt. Finally, you’ll even see the relationship they have with congruent matrices. What are similar matrices? The definition of similar matrices is …

## Symmetric matrix

On this post you will find the explanation of what symmetric matrices are. In addition, we show you how to quickly identify when a matrix is symmetric, as well as several examples. You will also find all the properties of symmetric matrices. And finally, we explain a special peculiarity that any square matrix has: it …

## Antisymmetric matrix (or skew-symmetric matrix)

On this post we explain what antisymmetric matrices are. In addition, you will see several examples along with its typical form to understand it perfectly. We also explain what is special about the calculation of the determinant of an antisymmetric matrix and all the properties of this type of matrix. And finally, you will find …

## Invertible matrix

On this post you will find what an invertible is and how to know when a matrix is invertible. In addition, you will also see several examples of invertible matrices to perfectly understand the concept and, finally, we will show you the invertible matrix theorem and all the properties of this type of matrices. What …

## Idempotent matrix

On this post we explain what idempotent matrices are. We also show you several examples of this type of matrix so that you understand it perfectly. Furthermore you will find the formula to calculate an idempotent matrix and, finally, all the properties of idempotent matrices. What is an idempotent matrix? The definition of idempotent matrix …

## Nilpotent matrix

On this post you will find the explanation of what a nilpotent matrix is, as well as several examples so that you can completely understand it. In addition, you will see the formula that nilpotent matrices have and all the properties that these types of matrices have. What is a nilpotent matrix? The definition of …

## Determinant of a 1×1 matrix

This post explains how to calculate the determinant of a 1×1 matrix, also you will see several examples so that you do not have any doubt how to do it. Although this kind of determinants are very rare, the determinants of 1×1 dimension matrices are very easy to solve, as you will see below. What …