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Post Closed as "Not suitable for this site" by David Handelman, user44191, Francois Ziegler, Chris Godsil, Dima Pasechnik
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R.P.
R.P.
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What isare the eigen valueeigenvalues and eigen vectoreigenvectors of a composition of two arbitrary linear transformationtransformations?

Let $S$ and $T$ be two linear transformationtransformations on $\mathbb{R}^n$. We can find the eigen valueeigenvalues and eigen vectoreigenvectors of $S$ and $T$. I tryam trying to find out the realtionrelation(s) among the eigan valueeigenvalues and eigan vectoreigenvectors of $S$, $T$ and $S\circ T$. Is there any relation of this kind.

Thank you.?

What is the eigen value and eigen vector of a composition of two arbitrary linear transformation

Let $S$ and $T$ be two linear transformation on $\mathbb{R}^n$. We can find the eigen value and eigen vector of $S$ and $T$. I try to find out the realtion among the eigan value and eigan vector of $S$, $T$ and $S\circ T$. Is there any relation of this kind.

Thank you.

What are the eigenvalues and eigenvectors of a composition of two arbitrary linear transformations?

Let $S$ and $T$ be two linear transformations on $\mathbb{R}^n$. We can find the eigenvalues and eigenvectors of $S$ and $T$. I am trying to find out the relation(s) among the eigenvalues and eigenvectors of $S$, $T$ and $S\circ T$. Is there any relation of this kind?

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MAS
MAS
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What is the eigen value and eigen vector of a composition of two arbitrary linear transformation

Let $S$ and $T$ be two linear transformation on $\mathbb{R}^n$. We can find the eigen value and eigen vector of $S$ and $T$. I try to find out the realtion among the eigan value and eigan vector of $S$, $T$ and $S\circ T$. Is there any relation of this kind.

Thank you.