what is the significance of eigen value,eigen vector and characterstic equation?

Question

perl · Answer

khan academy has some videos on all of them, and yes they are very important.

anonymous · Answer

we have A (n*n matrix), if we make $$\lambda I -A$$ and calculate determinant of this matrix, we found an equation that called Characteristic Equation

anonymous · Answer

i know the procedure to solve but my doubt is why do we need to do all that?

anonymous · Answer

we need them :D

anonymous · Answer

i mean how cn i visualize or can u tel me any application of it?

anonymous · Answer

in differential equations
in image processing
in schrodinger equation
and in other topics in highlevel of educations ;-)

anonymous · Answer

can u plz illustrate?

anonymous · Answer

look at it http://en.wikipedia.org/wiki/Eigenvalues_and_eigenvectors#Applications

anonymous · Answer

ya sure...
Thanks buddy

amistre64 · Answer

diagonalizations .... markov chains ... higher maths .....