Matrices

Types of matrices

If you are wondering how may types of matrices are there, you are in the right place. Here you will find the most important types of matrices in linear algebra, and we explain each type of matrix with its definition and with examples so that you fully understand each one. What are the different types …

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Square matrix

On this post we explain what a square matrix is, with examples of square matrices. In addition, you will see what are the properties of square matrices, the operations that can be done with them and the different types of square matrices that exist. What is a square matrix? The definition of square matrix is …

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Commuting matrices

On this post we explain what commuting matrices are. In addition, you will see examples to perfectly understand the concept and, finally, you will find an exercise solved step by step in which we show how to calculate all matrices that commute with any matrix. What are commuting matrices? The meaning of commuting matrices is …

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Diagonal matrix

On this post you will see what a diagonal matrix is and examples of diagonal matrices. Also, you will find how to operate with a diagonal matrix, and how to calculate its determinant and its inverse. In addition, we explain the properties and applications of this type of matrix. And, finally, you will find the …

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Scalar matrix

On this post you will find what a scalar matrix is and several examples of scalar matrices. Also, you will see all the properties of the scalar matrix and the advantages of doing operations with it. Finally, we explain how to calculate the determinant of a scalar matrix and how to invert this type of …

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Identity (or unit) matrix

On this post you will see what the identity (or unit) matrix is with several examples. In addition, we explain all the properties of the identity matrix, how to operate with this type of matrix and how to find its determinant. Finally, you will see the applications that this special matrix has. What is the …

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Complex matrix

Here you will find what a complex matrix is and all its characteristics. Also, you will see the different types of complex matrices and examples. Finally, we’ll explain how to calculate operations with complex matrices. What is a complex matrix? The definition of complex matrix is as follows. A complex matrix is a matrix that …

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Normal matrix

On this post you will find what a normal matrix is, as well as examples of normal matrices. In addition, you will find the properties of this type of matrix and exercises solved step by step. What is a normal matrix? The definition of normal matrix is as follows: A normal matrix is a complex …

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