How to Make a Matrix Diagonal with Matlab?

Asked by Hollis Williams on 10 Apr 2018

Latest activity Edited by Roger Stafford on 10 Apr 2018

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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 on 10 Apr 2018

Edited by Roger Stafford 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

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