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Results tagged with linear-algebra
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user 142409
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
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Prove/disprove a linear algebra inequality
We prove that, under the condition that the $u_i$'s and $a$ are unit vectors and $u_i^T u_j \leq 0$ for $i\neq j$:
$$\lvert \sum_{i=1}^n u_i \lvert u_i^T a\rvert \rvert_2 \leq 1.$$
We use the non-stri …
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