Proof of - Geometric Multiplicity is less equal Algebraic Multiplicity

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Very Good Video Sir🙏, I have a doubt how is the matrix an upper truangular matrix?

utkarshraj
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Hi Sir,
It is very interesting to see this proof. I have a query, How can we say g(x) may have lambda?
If there are no chance of having lambda inside g(x), then proof is AM = GM right.

sam-uyy
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Sir mera Ek question if lamda is eigen value of matrix A with charactristics polynomial f(x) (x_l) k /f(x) and x_l) /_f(x) then geomertical multipicity of lamda is most is at most k

KesharinanadanSoni