A matrix is a rectangular array or arrangement of entries or elements displayed in rows and columns within a square bracket [ ] or parenthesis ( ).
Usually matrices are denoted by the capital letters like
A, B, C .....


In any matrix

First row Second row 
Order of a matrix :
A matrix having m rows and n columns is called matrix of order m x n or simply m x n matrix . In general m x n has the following form

The order of a matrix or the size of a matrix is known as the number of rows
or the number of columns which are present in that matrix.

The order of above matrix is 2 x 4. Because in the above matrix there are two rows and four columns.
The element which occurs in a_{11} = 5
The element which occurs in a_{12 }= 2
The element which occurs in a_{13} = 7
The element which occurs in a_{14 }= 9
The element which occurs in a_{21 }= 3
The element which occurs in a_{22} = 1
The element which occurs in a_{23} = 2
The element which occurs in a_{24 } = 8
Minor of matrix :
Minor of a matrix may defined as follows.
Let A = [a_{ij}] be a determinant of order n.
The minor of an arbitrary element a_{ij} is the determinant obtained by deleting the i^{th} row and j^{th} column in which the element a_{ij} stands. The minor of a_{ij} by M_{ij}.
Examples of finding minor of a matrix
Cofactor of matrix :
The cofactor is a signed minor. The cofactor of a_{ij} is denoted by A_{ij} and is defined as A_{ij} = 1^{(i+j)} M_{ij}.

Examples of finding cofactor of matrix
Adjoint of matrix :
Let A = [a_{ij}] be a square matrix of order n. Let A_{ij} be a cofactor of a_{ij}. Then nth order matrix [A_{ij}]^{T} is called adjoint of A. It is denoted by adj A. In other words we can define adjoint of matrix as transpose of co factor matrix.
Examples of finding adjoint of matrix
Inverse of matrix :
If A is a nonsingular matrix,there exists an inverse which is given by
Examples of finding inverse of matrix
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