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Tagged with orthogonal-matrices at.algebraic-topology
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When can one continuously prescribe a unit vector orthogonal to a given orthonormal system?
Let $1 \leq k < n$ be natural numbers. Given orthonormal vectors $u_1,\dots,u_k$ in ${\bf R}^n$, one can always find an additional unit vector $v \in {\bf R}^n$ that is orthogonal to the preceding ...
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