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How to find eigen value and eigen vectors of a matrix

hi friends

 i need to know how to find eigen value and eigen vector of a matrix

e.g matrix

3 10 5
-2 3 -4
3 5 7

kindly explain with detailed steps



I Hope the Question is Incorrect or Wrong.. I Solved the Question, but Getting Eigenvector as Zero...

Note that an eigenvector cannot be 0, but an eigenvalue can be 0.

Attachment :

.pdf   Eign Problem.pdf (Size: 3.55 MB / Downloads: 64)

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sorry Srini,

The matrix is

3 10 5
-2 -3 -4
3 5 7

can you explain me the step by step procedure for solving eigen vectors alone ( As i am little unclear where cross multiplication are used )

and eigen values are 2,2,3



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