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Linear Algebra Explanations on true and false.

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#linear-algebra #inner-products #span
78
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Linear Algebra quick Question over inner product space

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162
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$T$ is a linear operator on a IPS $V$ which has a basis $\beta$. Prove that $A_{ij} = \langle T(v_j),v_i \rangle$

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#linear-algebra #matrices #inner-products
1k
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Duality pairing and difference with inner product in Hilbert spaces

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#functional-analysis #hilbert-spaces #inner-products
1.1k
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Proving the inequality of Cauchy-Schwarz in an Euclidean space.

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#real-analysis #inequality #euclidean-geometry #inner-products
120
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Multivariable calculus - explain what the teacher did

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#calculus #multivariable-calculus #derivatives #inner-products #proof-explanation
87
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Prove of inner product space and orthonormal system's necessary condition to be complete

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#inner-products #orthonormal
119
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Some kind of projection in a non-orthogonal basis

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#linear-algebra #inner-products
103
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Integral with scalar product question

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#calculus #real-analysis #integration #inner-products
6k
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Hilbert vs Inner Product Space

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#vector-spaces #metric-spaces #hilbert-spaces #inner-products
2.5k
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Inner product on direct sum of Hilbert spaces

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#functional-analysis #hilbert-spaces #inner-products
384
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Interesting special functions identity involving the inner product of real spherical harmonics with a cosecant weight function

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#special-functions #inner-products #spherical-harmonics
47
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Proving an inequality on $\sum_{1\leq i,j \leq n} \langle c_i ,c_j \rangle \times \langle l_i ,l_j \rangle$

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#inequality #inner-products
5.3k
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Prove triangle inequality of vector norm

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#linear-algebra #inequality #normed-spaces #inner-products
396
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Inner products Axioms

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#inner-products

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