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How to calculate matrix (and vector) multiplication with outer product and inner product?

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#linear-algebra #matrices #matrix-equations #multilinear-algebra #outer-product
157
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proof of second smallest eigenvalue using Lagrange equations

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#calculus #multivariable-calculus #eigenvalues-eigenvectors #lagrange-multiplier #multilinear-algebra
353
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Solving a multilinear system of equations

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#algebraic-geometry #polynomials #computational-complexity #multilinear-algebra #projective-varieties
49
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Question about exterior product and tensor product

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#multilinear-algebra
163
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The different products on $k$-alternating forms and their relationship with the exterior product

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#linear-algebra #multilinear-algebra #exterior-algebra
524
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Proof of basis for exterior $k$th power

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#linear-algebra #abstract-algebra #multilinear-algebra
253
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Meaning of the supra- and sub-indexes in tensor notation

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#tensors #multilinear-algebra #general-relativity
106
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Notation in definition of Fréchet differentiation

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#real-analysis #derivatives #banach-spaces #multilinear-algebra #frechet-derivative
678
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Second order derivatives: Exterior and Lie

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#differential-geometry #differential-operators #multilinear-algebra #exterior-algebra
257
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Wedge product for composite of linear transformations

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#tensor-products #multilinear-algebra #exterior-algebra
51
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Hodge star and Hodge dual of a special kind of $n$-form

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#differential-geometry #algebraic-geometry #projective-space #multilinear-algebra #exterior-algebra
239
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Finding unique linear transformation in tensor product.

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#linear-algebra #tensor-products #multilinear-algebra
82
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The notion of the "Nolting" Algebra

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#linear-algebra #abstract-algebra #reference-request #multilinear-algebra #exterior-algebra
73
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Polarization of a polynomial

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#linear-algebra #multilinear-algebra
119
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Determinant of matrix formed by all scaled combinations

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#linear-algebra #combinatorics #geometry #determinant #multilinear-algebra

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