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15
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Question from a past exam: Prove $dim(Im(T))=Tr(T)$

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#linear-algebra #linear-transformations #projection
232
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Is $(-1)^x$ a Function of $x$ if domain is a set of natural numbers?

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#linear-algebra
116
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Particular Tensor Product

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#linear-algebra #field-theory #galois-theory #tensors #galois-extensions
70
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Does the Minimum Polynomial of a Matrix depend continuously on the entries of the matrix?

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#linear-algebra #minimal-polynomials
696
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Show that this Linear Operator is Self-Adjoint

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#linear-algebra
56
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Preservence of CPD (conditionally positive definiteness) under infinite integral

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#linear-algebra #matrices #analysis #improper-integrals #inner-products
1.1k
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How can I tell if a matrix is diagonalizable knowing only the trace, one eigenvalue, and a result of the characteristic polynomial?

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#linear-algebra #matrices #eigenvalues-eigenvectors #matrix-equations #matrix-rank
69
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How to solve this linear system in Matlab?

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#linear-algebra #matrices #systems-of-equations #matlab
1.2k
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Linear equations: standard line equation proof

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#linear-algebra
242
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Let $V$ be vector space of countable dimension over field $K$. Is it true that $V\cong V\oplus V$?

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#linear-algebra #abstract-algebra #vector-spaces #examples-counterexamples #vector-space-isomorphism
237
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Find all Equilateral Triangles with vertices on 3 straight lines

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#linear-algebra #geometry
37
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Can the following problem be framed in terms of linear programming?

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#linear-algebra #multivariable-calculus #polynomials #algorithms #linear-programming
75
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Invertible elements in the number line $R$

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#linear-algebra #synthetic-differential-geometry
55
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"Loosening" linear transformations

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#linear-algebra #modules #linear-transformations #definition #vector-space-isomorphism
26
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Rearranging a formula containing a non-square matrix

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#linear-algebra #matrices #systems-of-equations #least-squares

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