# ch8-exercise5_noh

## 1523 days ago by kyunganoh

A=matrix(QQ,4,4,[1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4]) print "λ= "+str(A.eigenvalues()) ev=A.eigenvalues() temp=0 i=0 for sol in ev: if(sol != temp): i=ev.count(sol) print str(sol) + " have " + str(i) + " algebraic multiplicity." temp=sol A.eigenvectors_right()
 λ= [10, 0, 0, 0] 10 have 1 algebraic multiplicity. 0 have 3 algebraic multiplicity. [(10, [ (1, 1, 1, 1) ], 1), (0, [ (1, 0, 0, -1/4), (0, 1, 0, -1/2), (0, 0, 1, -3/4) ], 3)] λ= [10, 0, 0, 0] 10 have 1 algebraic multiplicity. 0 have 3 algebraic multiplicity. [(10, [ (1, 1, 1, 1) ], 1), (0, [ (1, 0, 0, -1/4), (0, 1, 0, -1/2), (0, 0, 1, -3/4) ], 3)]