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 Understanding LA: Linear Transformation of Matrix A

  • jeff1evesque
  • · Replies 3 ·
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3

Graduate Do Integral Properties of Functions Imply Independence from Variables?

  • Heirot
  • · Replies 3 ·
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3

Undergrad What is Spanning and its Relation to Dimensionality?

  • Saggittarius
  • · Replies 9 ·
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9

Graduate An Elementary Proof Of Both The Beal Conjecture And Fermat's Last Theorem.

  • Don Blazys
  • · Replies 38 ·
2
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38

Graduate A question of order of the product of two elements

  • rulin
  • · Replies 1 ·
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1

Undergrad Is there a theorem for expanding (a^n)-1?

  • crazyformath2
  • · Replies 1 ·
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1

Graduate What fields of number theory do I need to learn to understand Wiles' proof?

  • MathematicalPhysicist
  • · Replies 5 ·
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5

Graduate Why Can't a Module Have Finite & Infinite Basis?

  • quasar987
  • · Replies 2 ·
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2

Undergrad Why is matrix multiplication necessary for representing linear transformations?

  • Gear300
  • · Replies 5 ·
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5

Undergrad Where Can I Find Lattice-Theory Exercises for Beginners?

  • luizgguidi
  • · Replies 1 ·
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1

Undergrad Bases, Invertibility and Injectivity Query

  • Ad123q
  • · Replies 2 ·
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2

Undergrad How is the dot product used to find perpendicular lines?

  • qazxsw11111
  • · Replies 1 ·
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1

Graduate Can we reach all the irrationals?

  • kenewbie
  • · Replies 6 ·
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6

Graduate Transforming a 6x6 stiffness matrix

  • gajokhio
  • · Replies 1 ·
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1

Undergrad Strang's book, question about exercise

  • lukaszh
  • · Replies 1 ·
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1

Graduate What is the derivation of the character formula for SU(2) representation?

  • matematikawan
  • · Replies 3 ·
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3

Undergrad For vector AB, how to find vector B given vector A and the angle between

  • aamirnshah
  • · Replies 5 ·
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5

Graduate How Do Cosets in the Gaussian Integer Ring Relate to Its Ideals?

  • PhysicsHelp12
  • · Replies 4 ·
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4

Graduate What do the directions of eigenvalues represent?

  • preet
  • · Replies 3 ·
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3

Undergrad Composition of Linear Transformation and Matrix Multiplication2

  • jeff1evesque
  • · Replies 1 ·
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1

Undergrad Solving a linear set of unknown Vectors

  • m26k9
  • · Replies 1 ·
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1

Graduate Topological properties on Linear spaces

  • de_brook
  • · Replies 3 ·
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3

Undergrad Can Vector Spaces be Considered Spans?

  • evilpostingmong
  • · Replies 4 ·
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4

Undergrad Reasons why infinity hasn't been implemented into modern math

  • epkid08
  • · Replies 66 ·
3
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66

Graduate Do Algebra Representations Impact Theoretical Physics and Pure Mathematics?

  • tgt
  • · Replies 12 ·
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12

Graduate A nonlinear system of algebraic equations

  • mmzaj
  • · Replies 1 ·
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1

Graduate Finite abelian group of size p-1

  • sid_galt
  • · Replies 6 ·
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6

Undergrad How do I convert a parametric equation to cartesian form for calculus analysis?

  • hhn2002
  • · Replies 1 ·
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1

Undergrad Are Elements of Z/60 Invertible Based on GCD with 60?

  • sukichk
  • · Replies 1 ·
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1

Graduate Computer Vision, Corners and Eigenvalues

  • LouArnold
  • · Replies 3 ·
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3

Graduate Order of 3 modulo a Mersenne prime

  • T.Rex
  • · Replies 4 ·
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4

Graduate Is the Tensor Product of SU(2) Representations Reducible?

  • parton
  • · Replies 14 ·
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14

Graduate Various proofs I just want to verify

  • chaotixmonjuish
  • · Replies 6 ·
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6

Undergrad Coordinate Transformation - velocity?

  • FrogPad
  • · Replies 2 ·
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2

Undergrad Solving the Prime Numbers Problem: Proving p=q with p and q as Prime Numbers

  • Carl140
  • · Replies 10 ·
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10

Undergrad Map vector A onto line l would that mean the projection of A

  • Oerg
  • · Replies 2 ·
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2

Graduate Quartic with complex coefficients

  • ab959
  • · Replies 2 ·
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2

Undergrad Surjective Function: A to B Mapping

  • d_b
  • · Replies 1 ·
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1

Graduate Math Physics: Kronecker Delta Fn in Cylindrical/Spherical Polar Coords

  • NHGY
  • · Replies 1 ·
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1

Undergrad On proving real vector spaces (subspaces)

  • franz32
  • · Replies 6 ·
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6

Undergrad Surjective Function: A to B Mapping

  • d_b
  • · Replies 3 ·
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3

Graduate Optimizing a Linear Function with Constraint: A Tutorial on Lagrange Multipliers

  • quantumfireball
  • · Replies 1 ·
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1

Undergrad Dot product for non-orthogonal co-ordinate systems

  • Dave in NZ
  • · Replies 15 ·
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15

Graduate Nilpotency of Matrix with one eigenvalue

  • geor
  • · Replies 2 ·
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2

Undergrad Invertible Matrix A & B: True Formulas

  • NeonVomitt
  • · Replies 2 ·
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2

Undergrad Can You Find Matrices B and C Where AB = AC but B ≠ C?

  • LaraCroft
  • · Replies 1 ·
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1

Graduate Whether the morphism has special name

  • navigator
  • · Replies 1 ·
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1

Graduate What is the minimal subgroup that contains two arbitrary subgroups?

  • farleyknight
  • · Replies 12 ·
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12

Graduate Some help with a continued fraction?

  • csprof2000
  • · Replies 3 ·
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3

Undergrad Factors of product of n distinct primes

  • de_brook
  • · Replies 7 ·
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7

Undergrad Why is the formal derivative of a polynomial important in algebra?

  • tgt
  • · Replies 16 ·
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16

Graduate Exercise 56 in chapter 1 of Lang's algebra

  • stupiduser
  • · Replies 1 ·
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1

Undergrad I still don't quite get the idea of subspaces, span, and range

  • kesun
  • · Replies 8 ·
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8

Graduate Inverse (LS) problem for binary data

  • Zhiv
  • · Replies 8 ·
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8

Graduate Union of subspaces of a linear space

  • de_brook
  • · Replies 11 ·
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11

Graduate Determine whether or not something is a subspace

  • kesun
  • · Replies 3 ·
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3

Graduate Proving Normality of [G,G] in G: A Commutator Question

  • MathematicalPhysicist
  • · Replies 2 ·
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2

Graduate Most Unreliable Technique in the World to compute pi

  • John Creighto
  • · Replies 4 ·
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4

Graduate How can I convert this grammar into a normal form?

  • z980x
  • · Replies 1 ·
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1

Graduate Linerization of non-linear models

  • dowketu
  • · Replies 1 ·
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1

Graduate Is There a Specific Name for This Endomorphism or Subset?

  • mnb96
  • · Replies 12 ·
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12

Graduate A simple question about isomorphisms

  • bmiceli21
  • · Replies 11 ·
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11

Undergrad Are prime numbers truly unpredictable?

  • Gerenuk
  • · Replies 20 ·
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20

Undergrad Are these statements TRUE or FALSE and why?

  • LaraCroft
  • · Replies 3 ·
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3

Graduate Proving Injectivity and the Identity Map for Finite Dimensional Linear Maps

  • mind0nmath
  • · Replies 12 ·
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12

Graduate How Can Subgroups Be Defined in Universal Algebra?

  • mnb96
  • · Replies 1 ·
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1

Undergrad Proving Linear Independence: Vectors in R^5 and Their Span

  • NeonVomitt
  • · Replies 1 ·
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1

Graduate Analysis of A-Module Endomorphism \phi: Understanding Kronecker Delta Function

  • sid_galt
  • · Replies 1 ·
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1

Undergrad Linear Algebra: Finding the Inverse of a Matrix

  • LaraCroft
  • · Replies 2 ·
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2

Graduate How to formalize this unary operation?

  • mnb96
  • · Replies 3 ·
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3

Undergrad Really quick question on linear spans

  • NeonVomitt
  • · Replies 2 ·
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2

Graduate What is the meaning of det V and det V* in Generalised Complex geometry?

  • reginald
  • · Replies 1 ·
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1

Undergrad Linear algebra question about matrices

  • LaraCroft
  • · Replies 6 ·
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6

Graduate How Can Equation (13) Be Converted into the Matrix Form Ax = B?

  • Gihan sky
  • · Replies 3 ·
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3

Graduate What Is the Order of \(a*b\) Given the Orders of \(a\) and \(b\)?

  • Ancient_Nomad
  • · Replies 2 ·
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2

Undergrad Can a Function be Composed with Itself to Solve a Differential Equation?

  • mnb96
  • · Replies 8 ·
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8

Graduate Are Binomial Coefficients and Fibonacci Numbers Related?

  • ramsey2879
  • · Replies 4 ·
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4

Graduate What do we call the function in this diagram?

  • navigator
  • · Replies 1 ·
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1

Graduate Levi-Civita Tensor: Index Interchange Identity

  • AxiomOfChoice
  • · Replies 2 ·
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2

Undergrad Silly question, could use some assistance

  • csprof2000
  • · Replies 6 ·
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6

Undergrad Algorithmic Complexity and Big-Oh notation

  • flouran
  • · Replies 6 ·
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6

Undergrad What is the subspace spanned by a single vector in function space?

  • cahiersujet
  • · Replies 1 ·
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1

Graduate How Many Involutions Can Be Defined in the Set of Real Functions?

  • mnb96
  • · Replies 2 ·
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2

Undergrad Can Cosine Affect Whether Three Nonzero Vectors Must Lie in the Same Plane?

  • yosheey
  • · Replies 2 ·
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2

Undergrad Give a good explanation of determinants?

  • nobahar
  • · Replies 4 ·
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4

Graduate Solving Prime Algorithm Unit Circle on Zp - Complexity?

  • khotsofalang
  • · Replies 10 ·
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10

Graduate Understanding the Simplicity of Tensor Products: Bishop and Goldberg's Approach

  • matheinste
  • · Replies 11 ·
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11

Graduate What Metrics Can Be Defined on a Symmetric Group Beyond the Discrete Metric?

  • Symmetryholic
  • · Replies 7 ·
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7

Undergrad Mapping a Vector to a Vector Preserving Operations

  • RyozKidz
  • · Replies 4 ·
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4

High School Good linera algebra books for beginners

  • Goldbeetle
  • · Replies 2 ·
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2

Graduate Understanding Zeros of the Riemann Zeta Function

  • pivoxa15
  • · Replies 10 ·
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10

Graduate Predicting the Next Term in Recursive Derivatives Series

  • nassboy
  • · Replies 5 ·
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5

Undergrad Finding the Sin of an Angle Between Two Vectors

  • touqra
  • · Replies 1 ·
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1

Graduate Building Projection Matrices from \delta_{ij} and M_{ij}

  • TriTertButoxy
  • · Replies 2 ·
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2

Graduate Understanding Direct Limits: $\mathbb{Z}\sqcup\coprod(\mathbb{Z}-2\mathbb{Z})$

  • cohomology
  • · Replies 1 ·
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1

Undergrad Solving Equations of the Form Ax - By = 1

  • soandos
  • · Replies 8 ·
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8

Graduate How Do Ideals Generated by Powers of an Element Relate in Commutative Rings?

  • joecoz88
  • · Replies 1 ·
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1

Undergrad What Are Wyckoff Symbols and How Are They Used in Identifying Atomic Positions?

  • hiyok
  • · Replies 2 ·
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2

High School Can both of this vector combine become the following matrix?

  • RyozKidz
  • · Replies 5 ·
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5

Undergrad Integer Representation Through Multiplication of Integers

  • Jim Phillips
  • · Replies 10 ·
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10