File Exchange

image thumbnail

Vectorized Transpose Matrix

version (1.35 KB) by Zachary Danziger
Creates an orthogonal permutation matrix for tensor and linear algebra manipulations.

1 Download

Updated 24 Feb 2010

View License

The vectorized transpose matrix, Tmn, is the matrix that permutes the vectorization of an m#n matrix A into its transpose vectorization. For example, if the vectorization of A is defined as vec(A), or A(:), then Tmn*vec(A) = vec(A').

The vectorized transpose matrix can be used to reverse the order of arguments to the otherwise non-commutative Kronecker product.

>> m=2;n=3;p=4;q=2;
>> A = rand(m,n); B = rand(p,q);
>> isequal(TvecMat(p,m)*kron(A,B)*TvecMat(n,q),kron(B,A))
ans =

For other useful properties of the vectorized transpose matrix, see:

Cite As

Zachary Danziger (2021). Vectorized Transpose Matrix (, MATLAB Central File Exchange. Retrieved .

Comments and Ratings (0)

MATLAB Release Compatibility
Created with R2009a
Compatible with any release
Platform Compatibility
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!