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$\langle x,y \rangle = 0 \iff \forall \alpha\in\Bbb R, |x|\le|x+\alpha y|$

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#linear-algebra #inner-products
164
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Orthogonal diagonalization without eigenvectors

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#linear-algebra #inner-products #diagonalization #orthogonal-matrices
73
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(real symmetric matrices) does orthogonality of eigenvectors (distinct eigenvalues) depend on choice of basis?

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#eigenvalues-eigenvectors #inner-products #orthogonality #diagonalization #orthogonal-matrices
65
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What is the meaning of $\frac{(Ay,x)}{(y,x)}$?

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#linear-algebra #matrices #eigenvalues-eigenvectors #inner-products
48
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Why is the first one not an inner product but the second one is?

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#linear-algebra #inner-products
100
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Inner product on diffential forms independence ortonormal basis

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#differential-geometry #inner-products #differential-forms #multilinear-algebra #exterior-algebra
17
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Finding algebraic expression of a parallepiped given directions and side lengths

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#vector-spaces #euclidean-geometry #inner-products
188
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SVD with non-standard inner product

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#inner-products #svd #singular-values
80
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Can the eigenvectors of a linear operator in an infinite-dimensional space span the space and be linearly dependent at the same time?

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#functional-analysis #eigenvalues-eigenvectors #inner-products #orthonormal
82
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Why is linearity not satisfied for this inner product?

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#linear-algebra #inner-products
232
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Linear Algebra Scalar and Vector Projection

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#linear-algebra #vector-spaces #inner-products
51
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Fourier transform on $\mathbb{Z}_{2}^{d}$

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#summation #fourier-series #inner-products #binary
153
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Corollary of Projection onto a closed convex set and geometric interpretation

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#hilbert-spaces #inner-products #geometric-interpretation
86
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The question is incorrect?

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#linear-algebra #inner-products
495
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Confusion on the Gram-Schmidt process for complex vectors

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#complex-numbers #vector-spaces #vectors #inner-products #gram-schmidt

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