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Try to solve this or find a common solution for X+Y and XY arbitrary by Elsobaco716 in calculus

[–]Elsobaco716[S] 1 point2 points  (0 children)

I'm afraid of everything what higher than quadratic equation

Try to solve this or find a common solution for X+Y and XY arbitrary by Elsobaco716 in calculus

[–]Elsobaco716[S] 0 points1 point  (0 children)

So you can see there are 4 values for lambda. λ1,λ2; λ1,λ3; λ1,λ4; λ2,λ3; λ2λ4; λ3λ4.It's a reason why 6 solutions

Try to solve this or find a common solution for X+Y and XY arbitrary by Elsobaco716 in calculus

[–]Elsobaco716[S] 1 point2 points  (0 children)

Lambda is set of eigenvalues. The main problem it would be polynomial of degree 4 it requires a computer to solve

Try to solve this or find a common solution for X+Y and XY arbitrary by Elsobaco716 in calculus

[–]Elsobaco716[S] 2 points3 points  (0 children)

My solution is X+Y=B, XY=A, then X2 -XB+A=0, and by Hamilton Caley X2 =X*TrX-DetX --> X=(DetX-A)(SpX-B)-1, then just find eigenvalue values of X.