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 Apr23 comment What is going on with this constrained optimization? So this definitely works when all eigenvalues are different (because we can construct a basis out of corresponding eigenvectors) but how can we be sure that this will always work even when some eigenvalues are the same? Apr23 asked What is going on with this constrained optimization? Feb23 accepted What can a linear transformation do in $\mathbb{R}^2$? Feb23 comment What can a linear transformation do in $\mathbb{R}^2$? How does this one degree of freedom manifest on an arbitrary A,B,C,D matrix? There should be a way to remove one variable then. Also please see my edited question. Feb23 revised What can a linear transformation do in $\mathbb{R}^2$? added 533 characters in body Feb23 asked What can a linear transformation do in $\mathbb{R}^2$? Feb19 awarded Scholar Feb19 accepted How many vertices in multi-dimensional space? Feb19 accepted Proof about number of vertices ($\mathbb{R}^3$ space)… Feb19 comment Proof about number of vertices ($\mathbb{R}^3$ space)… I'd love to come up with the same property for $\mathbb{R}^4$. Do you think that's possible? Given that the above applies only to vertices-facets... Feb19 awarded Supporter Feb19 asked Proof about number of vertices ($\mathbb{R}^3$ space)… Feb16 awarded Editor Feb16 revised How many vertices in multi-dimensional space? deleted 82 characters in body Feb16 awarded Student Feb16 asked How many vertices in multi-dimensional space?