08: Eigenvalues, Eigenvectors, SVD

Perform these essential matrix functions on matrix M:
M   = 
 5.2  3.0
-4.1 -3.9

e = eigenvalues of M
v = eigenvectors of M
SVD of M   (singular value decomposition)

Mathematica:

m = , }
e = Eigenvalues[m]
v = Eigenvectors[m]
SingularValues[m]

Matlab:

m = [ 5.2 3.0 ; -4.1 -3.9 ]
e = eig(m)
[v,d] = eig(m)
svd(m)

Maple:

m := Matrix( [[5.2,3.0],[-4.1,-3.9]] );
e := Eigenvalues(m);
v := Eigenvectors(m);
SingularValues(m);

IDL:

m = [ [5.2,3.0], [-4.1,-3.9] ]
hes = ELMHES(m)   (upper Hessenberg format)
e = HQR(hes)
v = eigenvec(m,e,/double)
SVDC, m, w,u,uu