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What is the geometric intuition behind algebraic multiplicity?

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#linear-algebra #linear-transformations
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Low-rank matrix satisfying linear constraints linear mapping

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#optimization #linear-transformations #convex-optimization #nuclear-norm #matrix-completion
26
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How to prove linear independence of vectors given linear independence of their mapping?

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#linear-algebra #linear-transformations #proof-explanation
179
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Proof that even if you change the vector spaces of a transformation, the rank remains the same.

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#linear-algebra #linear-transformations #matrix-rank
735
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Coordinate system with easy linear point transformations in hyperbolic plane

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#linear-transformations #coordinate-systems #hyperbolic-geometry
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Why is the Schmidt decomposition of an operator not unique?

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#linear-algebra #linear-transformations #matrix-decomposition #singular-values
1.4k
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How to understand the exponential operator geometrically?

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#linear-algebra #geometry #linear-transformations #matrix-exponential #geometric-interpretation
141
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Linear Algebra: Linear Transformation proof

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#linear-algebra #proof-verification #vector-spaces #linear-transformations
187
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Transform point in different coordinate system (rotated and translated)

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#matrices #linear-transformations #coordinate-systems #rotations
468
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Linear transformations and similar matrices

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#linear-transformations
445
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Given $\ker T$, what can we conclude about $\ker (T-I)$?

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#linear-algebra #vector-spaces #linear-transformations
110
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Quasinilpotent if and only if acts as nilpotent

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#linear-algebra #linear-transformations
1.2k
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Prove that if $F$ is a linear functional then $F(0) = 0$.

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#ordinary-differential-equations #linear-transformations
1.3k
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Formula calculating airplane flight times from point A to point B

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#linear-algebra #linear-transformations
954
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What are the properties of a linear operator with a symmetric matrix?

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#linear-algebra #linear-transformations

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