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Find all the subgroups of this group

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#linear-algebra #group-theory #abelian-groups
81
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Let $V={10}$ be the set of one element only. Is it possible to make $V$ a vector space...

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#linear-algebra #matrices #vector-spaces
2.1k
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Swapping two rows changes the sign of the determinant proof using induction

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#linear-algebra #matrices #proof-verification #determinant
6k
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Dimension of Eigenspace?

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#linear-algebra #eigenvalues-eigenvectors
68
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Why $K^0 = \{0\}$?

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#linear-algebra #vector-spaces
101
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Finite dimensional vectors spaces external direct products and linear maps.

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#linear-algebra
247
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Fuzzy logic and Truth Values

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#real-analysis #linear-algebra #logic
173
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Monoid ring over a field is a finitely generated $k$-algebra

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#linear-algebra #vector-spaces #commutative-algebra #monoid
123
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Differential equation of $y'+y\sin(x) = \sin(2x) $ where $y=y(x)$?

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#linear-algebra #ordinary-differential-equations
56
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Let $A$ be a square matrix such that $A_10=0$ while $A_9≠0$. Let $V$ be the space of all polynomials of $A$. Find the dimension of $V$.

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#linear-algebra
54
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Dimension of real inner product with unitary transformation

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#linear-algebra #inner-products #orthogonality #matrix-decomposition #isometry
218
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Prove that a regular $\phi : E \to E$ can be uniquely decomposed as a composition of self-adjoint map and a rotation(Unitary trick of Weyl)

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#linear-algebra #linear-transformations #rotations #adjoint-operators
110
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Eigenvalues of a $2\times 2$ transition matrix $P$

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#linear-algebra #matrices #eigenvalues-eigenvectors #markov-chains
38
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What is the output of transformation by a $3 × 2$ matrix?

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#linear-algebra
814
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Hilbert space basis which is not a vector space basis

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#linear-algebra #functional-analysis #vector-spaces #hilbert-spaces #hamel-basis

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