How do u show that a matrix is diagonizable?

himurakenshin · Jan 2, 2005

How do u show that a matrix is diagonizable ?
Thanks

matt grime · Jan 2, 2005

by finding a basis of eigenvectors, by demonstrating that its minimal polynomial has rank n (where the matrix is nxn), occasionally by finding n distinct eigenvalues, or sometimes by showing that the field is algebraically closed and the matrix is in the image of some group homomorphism, or perhaps in some cases by showing that it is hermitian...

just show that it has a basis of eigenvectors, ok?

himurakenshin · Jan 2, 2005

ok thanks alot

mathwonk · Jan 8, 2005

read my short book posted near here for several different standard criteria for diagonalizability.

How do u show that a matrix is diagonizable?

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