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bilinear/ linearity proof for the inner product property

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#inner-products
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is this inner product positive-definite?

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#inner-products #binomial-theorem
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What exactly is pairwise orthogonal?

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#inner-products #orthogonality #orthonormal
857
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Projection of vector $v$ on $u$ in terms of inner product

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#inner-products
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Gram–Schmidt algorithm used for obtaining the orthogonal and orthonormal

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#inner-products #orthogonality #orthonormal
51
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Difference between orthogonal projection onto a point and onto a vector.

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#vector-spaces #inner-products
84
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Matrix tensor indices

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#normed-spaces #inner-products #tensors
285
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Intuition of a norm vector space/ infinite dimensional vector space

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#normed-spaces #inner-products
97
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Do I have the correct mental map for adjoint operators for inner product spaces?

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#linear-algebra #vector-spaces #intuition #inner-products #adjoint-operators
40.7k
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What is the geometric meaning of the inner product of two functions?

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#inner-products
469
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Does two functions have to have an inner product of zero for just one interval to be orthogonal?

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#inner-products
50
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Euclidean geometry and $L_2(\lambda)$ space

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#real-analysis #functional-analysis #hilbert-spaces #euclidean-geometry #inner-products
202
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The choice of scalar factors in the proof of the Schwarz inequality

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#linear-algebra #inequality #normed-spaces #inner-products
216
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What is the connection between the two ways in which functions get represented as vectors when discussing inner product?

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#inner-products
161
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How can you use the Law of Cosines to show that "u ∙ v = ║u║║v║cosθ "

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#calculus #linear-algebra #multivariable-calculus #vector-spaces #inner-products

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