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Operators simultaneously diagonalizables

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#linear-algebra #linear-transformations #diagonalization
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Determine the dimension of a subspace of $\operatorname{Hom}(\mathbb{R}^3, \mathbb{R}^3)$

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#linear-algebra #vector-spaces #linear-transformations
37
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Changing the basis of a linear transformation

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#linear-algebra
96
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$A+3I$ is nonsingular

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#linear-algebra #inverse #minimal-polynomials
181
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Show that a graph is arc-transitive

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#linear-algebra #graph-theory #algebraic-graph-theory #automorphism-group #cayley-graphs
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When should we *not* use Gaussian elimination to find Eigen vectors?

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#linear-algebra #eigenvalues-eigenvectors #gaussian-elimination
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Equation of a line parallel to two planes and passing through a point

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#linear-algebra #geometry #analytic-geometry
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Can we call the coefficient of an algebraic expression a constant?

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#linear-algebra #terminology #education
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Linear Algebra - Complete solution for Ax = b

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#linear-algebra
279
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Representing antisymmetric matrix in block diagonal form?

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#linear-algebra #matrices #eigenvalues-eigenvectors #symmetric-matrices
3.3k
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Intuition for Formal Definition of Linear Independence

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#linear-algebra #vector-spaces #intuition
61
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Expected distance from the span

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#linear-algebra #probability #random #geometric-probability
602
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Existence of the maximum in the minimax principle of Courant-Fischer

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#linear-algebra #metric-spaces #numerical-methods #eigenvalues-eigenvectors #maxima-minima
31
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prove if it is a subspace of a space

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#linear-algebra #vector-spaces #vectors
79
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Converting Matrix Into Desired Block Form

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#linear-algebra

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