Recent content by davidson89
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Second order linear homogeneous ODE with Jordan normal form
So I got the Jordan form to be : [ -1 1 ] [ 0 -1 ] and A is: [ -2 -1 ] [ 1 0 ] But I need to find a matrix P so that A = PJP^-1. Any ideas on how to find P?- davidson89
- Post #16
- Forum: Calculus and Beyond Homework Help
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Second order linear homogeneous ODE with Jordan normal form
So, after getting the generalized eigenvectors, how do i get it to Jordan normal form? My book doesn't explain this part. Is there some steps I need to follow?- davidson89
- Post #15
- Forum: Calculus and Beyond Homework Help
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Second order linear homogeneous ODE with Jordan normal form
So what is the difference between solving for eigenvectors the regular way and the generalized way? Also what is Jordan normal form? Thanks a lot for your help!- davidson89
- Post #13
- Forum: Calculus and Beyond Homework Help
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Second order linear homogeneous ODE with Jordan normal form
So, when after finding the eigenvalues and eigenvectors, do I form a matrix out of the eigenvectors? Would that be the answer? How is that a Jordan matrix?- davidson89
- Post #8
- Forum: Calculus and Beyond Homework Help
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Second order linear homogeneous ODE with Jordan normal form
Yeah, I can't really tell what you put there ahahah- davidson89
- Post #6
- Forum: Calculus and Beyond Homework Help
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Second order linear homogeneous ODE with Jordan normal form
Do you think you can explain more as to why I need to find the matrix W = (y,z)^T? And also when finding A for system W = AW, how is it similar to a Jordan matrix. Maybe I'm not understanding the Jordan matrix...- davidson89
- Post #3
- Forum: Calculus and Beyond Homework Help
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Second order linear homogeneous ODE with Jordan normal form
Solving second order linear homogeneous differential equation! HELP!? Solve the second order linear homogeneous differential equation with constant coefficients by reqriting as a system of two first order linear differential equations. Show that the coefficient matrix is not similar to the...- davidson89
- Thread
- Differential Differential equation Homogeneous Linear Second order Second order linear
- Replies: 17
- Forum: Calculus and Beyond Homework Help
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Flux through paraboloid and bounded region using divergence theorem
1) Let S be the first-octant portion of the paraboloid z = x^2 + y^2 that is cut off by the plane z=4. If F(x,y,z) = (x^2 + z)i + (y^2z)j + (x^2 + y^2 + z)k , find the flux of F through S. 2) Let S be the surface of the region bounded by the coordinate planes and the planes x + 2z = 4 and y =...- davidson89
- Thread
- Calculus Vector Vector calculus
- Replies: 1
- Forum: Calculus and Beyond Homework Help