home AS/A2 p6 AS/A2
Pure 4
Pure 5
P6 Topic 2: Matrix algebra
Transpose of a matrix backmore
Enter values into either of the matrices A or B, then select various options. The matrix formed by interchanging rows and columns of a matrix A is called the transpose of A and denoted by AT.
Use this display to verify that (AB)T = BTAT

Matrix A :

Matrix B :

Matrix C :
ReArrange
Operations  

Summary
Clearly, the transpose of the transpose of a matrix is equal to the matrix!
JavaScript interactive pages based on the Java Script Linear Algebra Calculator by Marcus Kazmierczak