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Results tagged with linear-algebra
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user 141956
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
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Sum of eigenvalues is nonpositive
Let $A$ be a symmetric positive semidefinite $n \times n$ matrix. How can I show that the sum of the largest $n-k+1$ eigenvalues of $A - k\cdot \textrm{diag}(A)$ is nonpositive, for any $k \in \{1, \d …
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