Transpose of a Matrix
Matrices and Determinants of Class 12
Transpose of a Matrix
Let A = [aij]m × n. Then n × m matrix obtained from A by changing its rows into columns and columns into rows is called the transpose of A and is denoted by A′ or by AT.
e.g If A = 
, then AT = 
- 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
