Definition of a Matrix
Matrices and Determinants of Class 12
A set of mn numbers (real or complex) arranged in the form of a rectangular array having 'm' rows & 'n' columns is called an m × n matrix. [to be read as m by n matrix].
It is usually written as
A = 
It is represented as A = [aij]m × n
The numbers a11, a12… etc are called elements of the matrix. The element aij belongs to ith row and jth column.
e.g. A = 
is a 3 × 3 matrix.
- Definition of a Matrix
- Special Types of Matrices
- Equality of Two Matrices
- Addition of Matrices
- Multiplication of Matrices
- Properties of Matrix Multiplication
- Transpose of a Matrix
- Transposed Conjugate of a Matrix
- Properties of Transpose and Conjugate Transpose of a Matrix
- Some More Special Type of Matrices
- Adjoint Of A Square Matrix
- Inverse of a Square Matrix
- Definition of a Determinant
- Value of a Determinant
- Properties of Determinants
- System of Linear Simultaneous Equations
- System of Linear Non Homogenous Simultaneous Equations
- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
