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Alka gupta
yes, absolutely correct statement every nxn order matrix have n eigen values.
what about mxn matrix?
we can find eigen values only for square Matrices
what about complex nxn matrix?
yes, we can find Eigen valus ...hermitian matrix , slew hermitian matrix unitary matrix all are complex matrices
doubt
I meaan does the result also apply to complex matrices?
every vector is not Eigen vector.... first we find always eigen values then there exist eigen vector corresponding to eigen values....
if matrix is non square or a matrix corresponding to LT is non square then there does not exist any Eigen values eigen vector