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Tensors, multivectors, wedge products, multilinear maps, exterior (Grassmann) algebras.

8 votes

A nice necessary and sufficient condition on positive semi-definiteness of a matrix with a s...

Such a matrix can be written in block form: $$ \mathbf{A} = \begin{pmatrix}\mathbf{B} & -\mathbf{B1}_{n-1}\\-\mathbf{1}_{n-1}^T \mathbf{B} & \mathbf{1}_{n-1}^T \mathbf{B} \mathbf{1}_{n-1} \end{pmatrix …
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