Linear and Abstract Algebra Forum

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Join experts in discussing linear and abstract algebra topics. This includes vector spaces and linear transformations. Also groups and other algebraic structures along with Number Theory.
Undergrad Guide to Constructing a Proof by Induction for Natural Numbers
  • wubie
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Graduate Understanding Fermat's Last Theorem: A General Overview
  • ahrkron
  • · Replies 10 ·
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Graduate Matrix^0: Is O0 Defined if O is Not a Square Matrix?
  • agro
  • · Replies 15 ·
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Undergrad A plane intersecting another plane
  • Brad_Ad23
  • · Replies 6 ·
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Undergrad Can Matrix Analysis Simplify Linear and Non-Linear Systems?
  • r637h
  • · Replies 3 ·
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High School Is Gaussian Elimination Only Used for 3x3 Matrices?
  • MathematicalPhysicist
  • · Replies 4 ·
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Graduate Complexifying su(2) to get sl(2,C)-group thread footnote
  • marcus
  • · Replies 2 ·
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Graduate What is the relationship between eigenvalues and the metric in linear spaces?
  • lethe
  • · Replies 8 ·
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Graduate Complexifying Lie algebras (footnote to group thread)
  • marcus
  • · Replies 2 ·
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Undergrad Trouble calculating matrix norms using the formula
  • meemoe_uk
  • · Replies 2 ·
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Graduate Where Can I Find Free Practice Problems for Abstract Algebra with Solutions?
  • StephenPrivitera
  • · Replies 4 ·
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Graduate Math fundamental: can linearity generate reciprocity?
  • Loren Booda
  • · Replies 8 ·
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Graduate Does the morphism above imply the other way around, ie, y->x?
  • MathematicalPhysicist
  • · Replies 2 ·
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Graduate How is the Trace of Lie Algebra Elements Proven?
  • pellman
  • · Replies 10 ·
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Graduate What is Abstract Algebra and why is it important?
  • StephenPrivitera
  • · Replies 3 ·
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Undergrad Are Linear Spaces and Vector Spaces the Same Thing?
  • meteor
  • · Replies 2 ·
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Undergrad How Do Matrices Influence Forms and Dimensions in Geometry?
  • drag
  • · Replies 6 ·
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Undergrad Chess & Matrices: Can Matrix Transformations Determine Optimal Moves?
  • Brad_Ad23
  • · Replies 33 ·
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Undergrad Proving G is a Group: Jim's A-Level P6 Exam Struggle
  • Jummeh
  • · Replies 1 ·
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Undergrad What is the Difference Between Matrix Notation and Abstract Matrix Notation?
  • hell18
  • · Replies 1 ·
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Undergrad What's the utility of the eigenvectors of a matrix?
  • meteor
  • · Replies 9 ·
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Graduate Is there an official Eigenvalue Condition in Quantum Mechanics?
  • eNtRopY
  • · Replies 5 ·
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Graduate What is the Dimension of the Field Extension R[dx]?
  • vshiro
  • · Replies 2 ·
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Undergrad Sinus of the angle between two vectors
  • dr-dock
  • · Replies 6 ·
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Undergrad Linear Algebra Exam: Defining Vector Spaces Vocab
  • Sting
  • · Replies 26 ·
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