Fundamentals of Statistics contains material of various lectures and courses of H. Lohninger on statistics, data analysis and chemometrics......click here for more.


Table of Contents Math Background Matrices Transposed Matrix
See also: Inversion of a Matrix 

Transposed Matrix


 
Transposed Matrix The transpose of a given matrix M of order mn is the matrix MT, which is obtained by exchanging the order of the indices: (mrs )T = (msr ). This new matrix MT is of the order nm.

More simply expressed, we just write the rows as columns, and vice versa. Here is an example:

 
It is evident that MTT equals M, where MTT is the transpose of the transpose of M.
 
 
Symmetric Matrix The matrix M is called symmetric if M = MT.
Skew-Symmetric Matrix If M = -MT, the matrix is called skew-symmetric or anti-symmetric.

Last Update: 2005-Jan-25