# Matrices

## Singular Matrix – Definition, Examples and Determinant

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 …

## Matrix Polynomial – Definition and Example

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) = …

## Lower Triangular Matrix – Definition and Examples

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 …

## Upper Triangular Matrix – Definition and Examples

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 …

## Scalar Matrix – Definition and Examples

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 …

## Diagonal Matrix – Definition and Examples

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 …

## Square Matrix – Definition and Examples

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 …

## Column Matrix – Definition and Examples

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 …