Linear and Abstract Algebra Forum

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.

Threads

Graduate Is 1ln(5)/2πi Equal to 5 in Complex Number Exponentiation?

  • jcsd
  • · Replies 9 ·
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9

Graduate Proof of (m+n*)* = m* + n* in Modern Abstract Algebra

  • wubie
  • · Replies 2 ·
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2

Undergrad Proving the sum of cubes formula by induction

  • wubie
  • · Replies 7 ·
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7

Graduate What general approach proves Fermat's Last Theorem?

  • ahrkron
  • · Replies 10 ·
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10

Graduate Is O^0 defined for non-square zero matrices?

  • agro
  • · Replies 15 ·
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15

Undergrad Plane through intersection of two planes, perpendicular to a third

  • Brad_Ad23
  • · Replies 6 ·
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6

Undergrad Can Matrix Analysis Simplify Linear and Non-Linear Systems?

  • r637h
  • · Replies 3 ·
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3

High School Is Gaussian Elimination Only Used for 3x3 Matrices?

  • MathematicalPhysicist
  • · Replies 4 ·
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4

Graduate Complexifying su(2) to get sl(2,C)-group thread footnote

  • marcus
  • · Replies 2 ·
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2

Graduate What is the relationship between eigenvalues and the metric in linear spaces?

  • lethe
  • · Replies 8 ·
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8

Graduate Complexifying Lie algebras (footnote to group thread)

  • marcus
  • · Replies 2 ·
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2

Undergrad Trouble calculating matrix norms using the formula

  • meemoe_uk
  • · Replies 2 ·
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2

Graduate Where Can I Find Free Practice Problems for Abstract Algebra with Solutions?

  • StephenPrivitera
  • · Replies 4 ·
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4

Graduate Does a nontrivial function satisfy (d/dx)f(cx)=(1/c)f(cx)?

  • Loren Booda
  • · Replies 8 ·
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8

Graduate Does the morphism above imply the other way around, ie, y->x?

  • MathematicalPhysicist
  • · Replies 2 ·
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2

Graduate How is the Trace of Lie Algebra Elements Proven?

  • pellman
  • · Replies 10 ·
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10

Graduate What is Abstract Algebra and why is it important?

  • StephenPrivitera
  • · Replies 3 ·
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3

Undergrad Are Linear Spaces and Vector Spaces the Same Thing?

  • meteor
  • · Replies 2 ·
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2

Undergrad How Do Matrices Influence Forms and Dimensions in Geometry?

  • drag
  • · Replies 6 ·
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6

Undergrad Can matrix transformations determine optimal chess moves?

  • Brad_Ad23
  • · Replies 33 ·
2
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33

Undergrad Proving G is a Group: Jim's A-Level P6 Exam Struggle

  • Jummeh
  • · Replies 1 ·
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1

Undergrad What is the Difference Between Matrix Notation and Abstract Matrix Notation?

  • hell18
  • · Replies 1 ·
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1

Undergrad What's the utility of the eigenvectors of a matrix?

  • meteor
  • · Replies 9 ·
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9

Graduate Is there an official Eigenvalue Condition in Quantum Mechanics?

  • eNtRopY
  • · Replies 5 ·
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5

Graduate What is the Dimension of the Field Extension R[dx]?

  • vshiro
  • · Replies 2 ·
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2

Undergrad Sinus of the angle between two vectors

  • dr-dock
  • · Replies 6 ·
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6

Undergrad Help defining span, basis, rank, dimension, and related concepts

  • Sting
  • · Replies 26 ·
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26