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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

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For what values of $k$ is matrix $k A - B$ positive semidefinite?

Suppose $A$ and $B$ are two $n \times n$ real symmetric matrices, and $A$ is positive semidefinite. For what values of $k \in \mathbb R$ is matrix $kA-B$ positive semidefinite (we write as $kA-B \succ …
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