How to Make a Matrix Diagonal with Matlab?

Asked by Hollis Williams

Hollis Williams (view profile)

on 10 Apr 2018
Latest activity Edited by Roger Stafford

Roger Stafford (view profile)

on 10 Apr 2018
I am working on a quantum mechanics problem and would like to get a 4x4 matrix A into diagonal form such that A=UDU^{-1}. Basically I just need to know the values of D and U required in the expression to make A a diagonal matrix (where D is diagonal) as I can then use it to do an explicit calculation for a matrix exponential. As it is the matrix is not diagonal, so I cannot use the explicit expression for the matrix exponential. Is there a code with Matlab that can calculate D and U simply?
The matrix is 4 x 4 and has elements
1 0 0 1
0 -1 1 0
0 1 -1 0
1 0 0 1

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Answer by Roger Stafford

Roger Stafford (view profile)

on 10 Apr 2018
Edited by Roger Stafford

Roger Stafford (view profile)

on 10 Apr 2018

Call on Matlab's 'svd' function. Read about it at:
https://www.mathworks.com/help/matlab/ref/svd.html
or possible you need the 'eig' function at:
https://www.mathworks.com/help/matlab/ref/eig.html