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Change of base in $R^2$

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#linear-algebra #change-of-basis
1.8k
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What is the general method of expressing a basis in terms of another basis of a vector space?

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#linear-algebra #linear-transformations #change-of-basis #hamel-basis
27
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Three bases, one linear map, find vector $x$

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#linear-algebra #linear-transformations #change-of-basis
164
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Laplace transform and frames vs Bases

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#fourier-analysis #laplace-transform #change-of-basis
95
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Matrix representation of the linear operator $A = \frac{d}{dx} + x \frac{d}{dx}$

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#linear-algebra #linear-transformations #change-of-basis
105
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changes of coordinates, confusing book language.

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#linear-algebra #change-of-basis
598
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changes of coordinates (effect on points and curves)

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#linear-algebra #linear-transformations #change-of-basis
184
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An affine transformation, and its effect on a curve and a polynomial.

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#linear-algebra #algebraic-curves #change-of-basis #change-of-variable
69
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transition from one base to another

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#linear-algebra #matrices #change-of-basis
87
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Why can't we find a standard matrix representation in terms of eigenvalues with only ones on the diagonal?

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#linear-algebra #matrices #eigenvalues-eigenvectors #change-of-basis
1.6k
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How to compute the Jacobian matrix of a multivariate function in a nonstandard matrix?

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#multivariable-calculus #derivatives #partial-derivative #change-of-basis #jacobian
41
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Basis vectors in different coordinates

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#differential-geometry #vectors #vector-analysis #change-of-basis
77
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Matrix of a linear mapping in the new basis

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#linear-algebra #abstract-algebra #change-of-basis
58
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Let $ w_1,w_2,\dots,w_n$ be an orthonormal basis of $W$. If $v = a_1\cdot w_1+a_2\cdot w_2+\dots+a_n\cdot w_n$, then $a_1 = ?\ a_2=?\ a_n = ?$

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#linear-algebra #orthogonality #change-of-basis
46
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Linear map $M_{matrix} \mapsto v_{vector}$

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#linear-algebra #matrices #vector-spaces #vectors #change-of-basis

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