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for which values of $\lambda$ $f(X,Y)$ defines an inner product

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#linear-algebra #inner-products
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Finding a dual basis in $\mathbb R^3$

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#linear-algebra #inner-products
348
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Show $\langle u,v \rangle = u_1v_1+3u_2v_2$ is an inner product

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#linear-algebra #inner-products
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Prove an Inner Product is one

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#linear-algebra #inner-products
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Determine whether the given vectors are orthogonal

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#linear-algebra #inner-products #orthogonality
70
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Prove One but not Both of these is Consistent

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#linear-algebra #matrices #analysis #numerical-methods #inner-products
37
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Proving a property of the norm on a set of continuous functions

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#integration #normed-spaces #inner-products
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Maximum angle between a vector $x$ and its linear transformation $A x$

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#optimization #eigenvalues-eigenvectors #inner-products #rotations #angle
76
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Proving an orthonormal theorem

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#linear-algebra #inner-products #orthonormal
226
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Finding a basis for a dual vector space induced by an inner product

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#linear-algebra #inner-products
163
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Matrix equation including diagonal and orthogonal matrices

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#matrices #inner-products #orthogonality #estimation #orthogonal-matrices
231
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How to show any finite-dimensional vector space can be given an inner product?

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#vector-spaces #inner-products
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Bessel's (in)equality confusion -- always an equality?

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#functional-analysis #inner-products
644
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Fourier coefficients $\langle x,e_k\rangle$ are at countable

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#functional-analysis #inner-products
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Intuition behind this inner product for polynomials of degree of at most $n$?

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#linear-algebra #integration #polynomials #inner-products

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