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Find the matrix of the transformation conjugate to $f(x, y) = (x - y, 2x)$ in the basis $(\mathbb R^2)^*$ conjugate to the basis $\{(1,1), (1, 2) )\}$

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#linear-algebra #matrices #linear-transformations #change-of-basis
127
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Exact conditions so that vector-space-like change of basis is possible in a free module

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#abstract-algebra #change-of-basis #free-modules
32
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Vector coordinates relative to given basis

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#linear-algebra #vectors #change-of-basis
68
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Find basis vectors with fewest nonzero entries

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#linear-algebra #optimization #algorithms #finite-fields #change-of-basis
68
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Transition matrix between bases for polynomial vector spaces

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#linear-algebra #change-of-basis #transition-matrix
93
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Polynomial long division in other basis

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#polynomials #change-of-basis
126
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How to define coordinates for a non-orthonormal basis

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#linear-algebra #vectors #orthonormal #change-of-basis
282
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Converting a matrix to polar coordinates (python)

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#matrices #polar-coordinates #change-of-basis #python
80
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Change of basis matrix from standard basis to orthonormal basis is an orthogonal matrix

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#linear-algebra #change-of-basis #orthogonal-matrices
68
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Basis of two projectors that act on a two-dimensional subspace

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#linear-algebra #linear-transformations #change-of-basis
167
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Change of basis in tensor notation

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#linear-algebra #matrices #tensor-products #tensors #change-of-basis
24
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Determining coefficients after transformation in orthogonal curvilinear systems

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#linear-algebra #change-of-basis
28
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First step of SVD changes basis of domain to basis such that...

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#linear-algebra #linear-transformations #matrix-decomposition #svd #change-of-basis
42
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Confusion regarding vectors being represented as n-tuples

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#linear-algebra #vector-spaces #vectors #linear-transformations #change-of-basis
70
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How do normal coordinates take effect in the proof of evolution equations?

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#differential-geometry #riemannian-geometry #tensors #change-of-basis #mean-curvature-flows

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