In this post we explain what a conjugate transpose matrix is and how to calculate the complex conjugate transpose of a matrix. Also, we show you an example of the conjugate transpose of a matrix and all the properties of this type of matrix. What is a conjugate transpose matrix? In mathematics, the conjugate transpose …
In this post we explain what a conjugate matrix is and how to find the complex conjugate of a matrix. In addition, we show you an example of the conjugate of a matrix and all the properties of this type of matrix. What is a conjugate matrix? The definition of complex conjugate matrix is as …
On this post we explain what the unitary matrix is and, in addition, we analyze several examples to fully understand its meaning. You will also find all the properties of this type of matrix. What is a unitary matrix? The definition of unitary matrix is as follows: A unitary matrix is a complex matrix that …
On this post you will find what a Hermitian matrix is, also known as self-adjoint matrix. You will find examples of Hermitian matrices, all their properties and its formula. Finally, we also explain how to decompose any complex matrix into the sum of a Hermitian matrix plus an skew-Hermitian matrix. What is a Hermitian (or …
On this post you will see what a skew-Hermitian matrix is, also called antihermitian matrix. You will find examples of skew-Hermitian matrices, all their properties and the formula of this type of square complex matrices. Finally, you will find the explanation of how to decompose any complex matrix into the sum of a skew-Hermitian matrix …
On this post you will find the explanation of the zero matrix, also known as null matrix. You will also see why the values of its entries are independent of the dimension of the matrix, and finally you will find all the properties of this type of matrix. What is the zero (or null) matrix? …
On this post you will see what orthogonal matrices are and their relation with the inverse of a matrix. You will also see several examples and the formula that verifies every orthogonal matrix, with which you will know how to find one quickly. Finally, you will find the properties and applications of these peculiar matrices …
On this post you will find what a singular (or degenerate) matrix is and when a matrix is singular. We also show you several examples of singular matrices and, finally, we explain all the properties of this type of matrix. What is a singular matrix? The definition of a singular matrix, also known as a …
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 …
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 …
