Here you will learn what is singular matrix definition with examples and also determinant of singular matrix. Let’s begin – Singular Matrix Definition : A square matrix is a singular matrix if its determinant is zero. Otherwise, it is a non-singular matrix. Also Read : How to Find the Determinant of Matrix Example : Show …
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Here you will learn what is the matrix polynomial definition with examples. Let’s begin – Matrix Polynomial Definition : Let f(x) = \(a_0x^n\) + \(a_1x^{n – 1}\) + \(a_2x^{n – 2}\) + ……. + \(a_{n – 1}x\) + \(a_n\) be a polynomial and let A be a square matrix of order n. Then, f(A) = …
Here you will learn what is the lower triangular matrix definition with examples. Let’s begin – Lower Triangular Matrix Definition : A square matrix A = \([a_{ij}]\) is called an lower triangular matrix if \(a_{ij}\) = 0 for all i < j. Thus, in an lower triangular matrix, all elements above the main diagonal are …
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Here you will learn what is the upper triangular matrix definition with examples. Let’s begin – Upper Triangular Matrix Definition : A square matrix A = \([a_{ij}]\) is called an upper triangular matrix if \(a_{ij}\) = 0 for all i > j. Thus, in an upper triangular matrix, all elements below the main diagonal are …
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Here you will learn what is the zero or null matrix definition with examples. Let’s begin – Zero or Null Matrix Definition : A matrix in which al elements are zero is called a null or a zero matrix. Also Read : Different Types of Matrices – Definitions and Examples Examples : 1). \(\begin{bmatrix} 0 …
Here you will learn what is the identity or unit matrix definition with examples. Let’s begin – Identity or Unit Matrix Definition : A square matrix A = \([a_{ij}]_{n\times n}\) is called a identity or unit matrix if (i) \(a_{ij}\) = 0 for all i \(\ne\) j and, (ii) \(a_{ii}\) = 1, for all i …
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Here you will learn what is the scalar matrix definition and order of scalar matrix with examples. Let’s begin – Scalar Matrix Definition : A square matrix A = \([a_{ij}]_{n\times n}\) is called a scalar matrix if (i) \(a_{ij}\) = 0 for all i \(\ne\) j and, (ii) \(a_{ii}\) = c, for all i, where …
Here you will learn what is the diagonal matrix definition and order of diagonal matrix with examples. Let’s begin – Diagonal Matrix Definition : A square matrix A = \([a_{ij}]_{n\times n}\) is called a diagonal matrix if all the elements, except those in the leading diagonal, are zero i.e. \(a_{ij}\) = 0 for all i …
Here you will learn what is the square matrix definition and order of square matrix with examples. Let’s begin – Square Matrix Definition : A matrix in which the number of rows is equal to the number of columns, say n, is called a square matrix of order n. A square matrix of order n …
Here you will learn what is column matrix definition and order of column matrix with examples. Let’s begin – Column Matrix Definition : A matrix having only one column is called a column matrix or a column vector. It is matrix having all its elements in a single column. It has one column and multiple …
