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

Undergrad Plotting Pythagorean triples in a polar form

  • tdswenson
  • · Replies 1 ·
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1

Graduate Surds as a vector space, but really an analysis question I think

  • Office_Shredder
  • · Replies 1 ·
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1

Graduate Edouard Lucas. Théorie des Nombres. Help with his unpublished Second Volume

  • arithmetic
  • · Replies 2 ·
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2

Graduate Jordan Normal Form & Wronskian Derivative

  • Master J
  • · Replies 2 ·
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2

Undergrad Solution space to homogenous equations.

  • CalculusSandwich
  • · Replies 2 ·
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2

Undergrad How to Find the General Solution for a Matrix with a Free Variable?

  • Ad123q
  • · Replies 6 ·
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6

Undergrad Simple intuitive/graphical interpretation of the Gauss-Seidel method

  • O.J.
  • · Replies 8 ·
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8

Graduate Vector Space, dimensions and kernal rank

  • zcomputer5
  • · Replies 4 ·
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4

Graduate Eigenvectors of commuting matrices

  • acarchau
  • · Replies 5 ·
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5

Graduate Group Action on Set S: The Induced Homomorphism from g \in S_{5}

  • Symmetryholic
  • · Replies 1 ·
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1

Graduate Theorem concerning free abelian groups

  • LHS1
  • · Replies 4 ·
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4

Graduate Module action sends zero to zero?

  • geor
  • · Replies 2 ·
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2

Undergrad Can You Decrypt This Encrypted Text Using a Numerical Technique?

  • Baroudeh
  • · Replies 39 ·
2
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39

Graduate Number of invertible/non-singular matrices over a finite field

  • andreitta
  • · Replies 2 ·
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2

Graduate Isomorphism beetwenn vector space and sub space

  • Herbststurm
  • · Replies 4 ·
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4

Graduate Stronger Goldbach-related conjecture

  • rokirovka
  • · Replies 2 ·
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2

Graduate Triangular Form for Linear Transformations: Finding Basis for Null Spaces

  • Ioiô
  • · Replies 3 ·
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3

Undergrad Why Did People Accept Imaginary Numbers Before Negative Numbers?

  • thejinx0r
  • · Replies 4 ·
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4

Graduate Very very quick quiestion about D_4?

  • sutupidmath
  • · Replies 8 ·
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8

Graduate How Many Quadratic Forms Exist on Fp^n for an Odd Prime p?

  • alvielwj
  • · Replies 2 ·
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2

Graduate Is There a More Efficient Way to Prove a Homomorphism in Z_10->Z_10?

  • sutupidmath
  • · Replies 3 ·
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3

Graduate Knot Invariants and Related Topics - Tips for Learning

  • stanford1463
  • · Replies 2 ·
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2

Graduate Prove quotient ring of PID is PID too

  • geor
  • · Replies 5 ·
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5

Graduate Primitive Matrix: Is M^k Positive?

  • bob j
  • · Replies 1 ·
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1

Undergrad Linear programming and the two phase method

  • catcherintherye
  • · Replies 2 ·
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2

Undergrad Discovering the Image of a Linear Map: Methods and Examples

  • Marin
  • · Replies 5 ·
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5

Graduate Solubility of the General Linear Group

  • herbert_454
  • · Replies 2 ·
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2

High School Does .999~=1? A Beginner's Perspective

  • raven1
  • · Replies 57 ·
2
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57

Graduate Approximate finding nearest neighbor vectors

  • feynomite
  • · Replies 2 ·
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2

Graduate Any implications of this diagonal element inequality?

  • winterfors
  • · Replies 3 ·
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3

Undergrad Can You Find a Matrix Where Column Space Equals Null Space?

  • iNagib
  • · Replies 2 ·
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2

Undergrad Prime Numbers in Cryptography: Uses & Benefits

  • hadi amiri 4
  • · Replies 3 ·
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3

Graduate Mapping ( linear transformation)

  • reha
  • · Replies 9 ·
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9

Graduate Proving the Converse: Finite Field with Cyclic Group of Units

  • adriank
  • · Replies 2 ·
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2

Graduate Proving Inequalities Involving Vector Space Dimensions

  • Marin
  • · Replies 3 ·
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3

Graduate What Does Closed Mean in the Context of Lie Subgroups?

  • malawi_glenn
  • · Replies 26 ·
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26

Graduate Order of groups in relation to the First Isomorphism Theorem.

  • sairalouise
  • · Replies 2 ·
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2

Graduate Proving the Properties of Pseudo Inverse and Transpose

  • ahamdiheme
  • · Replies 2 ·
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2

Graduate Generator of the additive gr. Z_m

  • sutupidmath
  • · Replies 2 ·
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2

Graduate Please explain the different morphisms to me

  • Diffy
  • · Replies 4 ·
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4

Graduate Generalized Cartan Matrix and Non-Semisimple Lie Algebras

  • bartadam
  • · Replies 1 ·
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1

Graduate Can singular value decomposition be used for complex matrices?

  • Cyrus
  • · Replies 1 ·
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1

Graduate Isomorphisms between cyclic groups

  • sutupidmath
  • · Replies 4 ·
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4

Graduate Proving the Relationship Between Perfect Numbers and Harmonic Mean

  • AlexHall
  • · Replies 3 ·
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3

Undergrad Solving Linear Congruence: 12x \equiv 1(mod5)

  • Ed Aboud
  • · Replies 3 ·
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3

Graduate Abstract Algebra Struggles: Navigating Levi and Malcev Theorems

  • littleHilbert
  • · Replies 1 ·
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1

Graduate Any finite group has an even number of elements

  • mathpr
  • · Replies 1 ·
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1

Graduate How Do Continuous Linear Representations of S^1 Function in Hilbert Spaces?

  • HMY
  • · Replies 1 ·
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Graduate Find Product Identity with ABCD & Triangular Variables

  • ramsey2879
  • · Replies 7 ·
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7

Graduate Can you find the least-squares solution and projection of this matrix equation?

  • mivanova
  • · Replies 1 ·
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1

Undergrad Precise definition of linear combination

  • redjoker
  • · Replies 2 ·
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2

Graduate Can You Identify 10 Non-Isomorphic Groups with Orders 25-29?

  • herbert_454
  • · Replies 4 ·
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4

Undergrad Find Quadratic Numbers in Z3 - Marin's Help Request

  • Marin
  • · Replies 2 ·
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2

Graduate Matrix Identify involving Diagonal Matrix

  • hotvette
  • · Replies 2 ·
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2

Undergrad Asking for Linear programming problems

  • marazmatika
  • · Replies 3 ·
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3

Undergrad Vacuous truth in regards to vector spaces

  • JG89
  • · Replies 15 ·
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15

Graduate Is every Toeplitz matrix invertible?

  • maverick280857
  • · Replies 2 ·
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2

Graduate What are the best resources for understanding Jordan Canonical Form proofs?

  • joecoz88
  • · Replies 3 ·
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3

Undergrad Why Are Half of the Permutations in Sn Even and the Other Half Odd?

  • tgt
  • · Replies 2 ·
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2

Graduate What is the Wedge Product in Theoretical Physics?

  • Marin
  • · Replies 5 ·
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5

Undergrad Find Eigen Values: Solve Char. Equation |A-#I| = 0 of Degree 3

  • zeroxff0000ff
  • · Replies 5 ·
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5

Graduate Have you encountered this famous matrix before?

  • cosmicsol
  • · Replies 2 ·
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2

Graduate Is Every Prime > 3 a Sum of a Prime and a Power of Two?

  • al-mahed
  • · Replies 93 ·
4
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93

Undergrad How Many Ways Can a Natural Number M Be Expressed as a Sum of N Whole Numbers?

  • quantumfireball
  • · Replies 2 ·
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2

Undergrad Scalar triple product, volume, and ordering

  • Damascus Road
  • · Replies 7 ·
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7

Undergrad Equation of a plane (General and Point-Normal Form)

  • Damascus Road
  • · Replies 19 ·
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19

Graduate Prime Number Theorem: Proving Equivalence of $P(x)$ and $Li(x)$

  • peteryellow
  • · Replies 6 ·
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6

Graduate Divisibility and Congruence problem

  • VeeEight
  • · Replies 3 ·
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3

Undergrad Are there any other twin primes with this property?

  • nikolany
  • · Replies 2 ·
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2

Graduate Determining Normal Subgroups in S(3) - A Mathematical Puzzle

  • Marin
  • · Replies 8 ·
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8

High School Solve Equation Problem: 5x+6y=40 - Help & Hints

  • Marin
  • · Replies 17 ·
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17

Graduate Solving vv^T = M: Solve Unknown Vector & Matrix Equation

  • daviddoria
  • · Replies 7 ·
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7

Undergrad When to us dot versus cross product

  • Schmigan
  • · Replies 2 ·
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2

High School Are two vectors with opposite angles parallel to each other?

  • devanlevin
  • · Replies 6 ·
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6

Undergrad What Does the Mathematical Operation f:S --> R Mean?

  • mace2
  • · Replies 5 ·
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5

High School Understanding Matrix Transpose and Examples | Learn about Matrix Transpose

  • FrankJ777
  • · Replies 1 ·
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1

Graduate How Can I Simplify This Linear Algebra Expression for Differentiation?

  • GeoffO
  • · Replies 15 ·
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15

Graduate How to Simplify the Term for a Group Exercise?

  • Herbststurm
  • · Replies 2 ·
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2

Undergrad Is integration of polynomial a bilinear for

  • jut24
  • · Replies 4 ·
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4

Graduate Computing Quotient Space: Practical Example with Vector Spaces and Subspaces

  • jamjar
  • · Replies 2 ·
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2

Undergrad Which algebraic rules altered for complex numbers?

  • Gerenuk
  • · Replies 5 ·
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5

Graduate Exponential sums and congruences

  • mhill
  • · Replies 5 ·
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5

Graduate How Does the Infinite Sum of 1/j! Equal e?

  • soandos
  • · Replies 12 ·
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12

Undergrad Distance between point-plane & plane-plane

  • Damascus Road
  • · Replies 6 ·
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6

Graduate Number Theory: Wilson's Theorem

  • mathsss2
  • · Replies 3 ·
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3

Graduate Order of an element in relation to the centre.

  • sairalouise
  • · Replies 5 ·
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5

Undergrad Adjacent Transpositions of Permutations.

  • Ad123q
  • · Replies 6 ·
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6

Graduate What is the most beautiful definition you've encountered?

  • tgt
  • · Replies 42 ·
2
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42

Undergrad What is the algorithm for generating numbers based on a given input?

  • falco2942
  • · Replies 2 ·
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2

Undergrad What prerequisites are needed for studying linear algebra?

  • lax1113
  • · Replies 3 ·
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3

Graduate Orders of products of group elements.

  • sairalouise
  • · Replies 4 ·
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4

Graduate Is There a Way to Regularize Euler Products on Primes?

  • mhill
  • · Replies 1 ·
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1

Undergrad Number Theory Advice: Struggling with Proofs in Course

  • only_huce
  • · Replies 4 ·
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4

Undergrad Where is the flaw in this proof?

  • GofG
  • · Replies 13 ·
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13

Graduate How can we parametrize a surface with an angle and radius?

  • Marin
  • · Replies 3 ·
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3

Graduate Prove: X Contains at Most n(n-1)/2 Elements in Subset of a Group

  • the_fox
  • · Replies 3 ·
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3

Graduate Determining whether homomorphism or not

  • tgt
  • · Replies 2 ·
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2

Graduate Proving Normalcy of H in Finite Group G

  • joecoz88
  • · Replies 2 ·
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2

Undergrad Vector Subspace or Linear Manifold.

  • matheinste
  • · Replies 13 ·
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13

Undergrad Recommend a good Linear algebra text.

  • Disowned
  • · Replies 1 ·
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1