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 What does this notation mean? Linear map A = [A^\mu \nu]_\mu \nu

  • nonequilibrium
  • · Replies 6 ·
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6

Graduate Galois Groups for a system of Linear equations?

  • joebohr
  • · Replies 20 ·
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20

Undergrad Is There a Method to Find the Inverse of a Singular Matrix?

  • AsadHanif
  • · Replies 6 ·
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6

Graduate What is the Post-office Problem for n>2?

  • Bacle2
  • · Replies 2 ·
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2

Graduate Residue field of p-adic integers

  • pablis79
  • · Replies 6 ·
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6

Graduate Proof of existence of opposite roots in semisimple algebras?

  • naima
  • · Replies 3 ·
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3

Graduate Product of a specific sequence of prime number squares

  • Vishalrox
  • · Replies 2 ·
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2

Undergrad Do 3 dimensional matrices exist?

  • Rob K
  • · Replies 7 ·
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7

Undergrad Solving Matrix equstions of the type: AX = C (FIND The X) - (NOT HW)

  • rugh
  • · Replies 3 ·
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3

Graduate Algebra-Modules generalize Ring-Modules?

  • gauss mouse
  • · Replies 2 ·
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2

Graduate What Does a = b (mod pZp) Mean in p-adic Numbers?

  • pablis79
  • · Replies 4 ·
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4

Graduate Question regarding quadratic-like residues in (Z/pZ) .

  • zack_vt
  • · Replies 2 ·
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2

Graduate Group like elements of Universal enveloping algebras

  • MrQG
  • · Replies 1 ·
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1

Graduate Finite Groups and Three Dimensional Pseudo Real Representations: An Exploration

  • rkrsnan
  • · Replies 4 ·
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4

Undergrad Generating Function: Formula for Nth Term?

  • Emilijo
  • · Replies 6 ·
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6

Graduate Prove that (n) is divisible by (n)^(n-1)

  • sothea hoeung
  • · Replies 2 ·
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2

Graduate 2-norm Pseudoinverse Upper Bound

  • baggiano
  • · Replies 3 ·
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3

Graduate Qual Problem: When do Matrices Commute?

  • tornado28
  • · Replies 5 ·
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5

Graduate Efficient Computation of Square Root of Covariance Matrix

  • foges
  • · Replies 2 ·
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2

Graduate Direct product of two groups with different n-spaces

  • huey910
  • · Replies 2 ·
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2

Undergrad Projecting 3D point to 2D / view-point

  • onako
  • · Replies 4 ·
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4

High School Complex / imaginary numbers trigonometric graphs

  • MegaDeth
  • · Replies 1 ·
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1

Graduate Efficient Algorithm for Calculating f(x)modg(x) with Large Degrees

  • smslca
  • · Replies 1 ·
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1

Graduate Understanding Matrix Solutions: AX=B vs. AX=0

  • aaaa202
  • · Replies 3 ·
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3

Undergrad Any numbers being Complex numbers

  • Anachronistic
  • · Replies 3 ·
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3

Graduate An approach to the Twin Prime Conjecture

  • galoisjr
  • · Replies 14 ·
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14

Undergrad Expressing Vector a as the Sum of Two Vectors Parallel and Perpendicular to b

  • Physics_Student
  • · Replies 9 ·
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9

Graduate Generalizations of Determinants: Permanents, Immanants, etc.

  • lpetrich
  • · Replies 2 ·
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2

Graduate Proving non-existence of integer solutions by reducing mod p

  • Poopsilon
  • · Replies 5 ·
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5

Undergrad Modulo division with negative power ?

  • smslca
  • · Replies 1 ·
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1

Graduate Permutations commuting with their powers

  • copper-head
  • · Replies 8 ·
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8

Undergrad Transpose of a matrix with mixed indices

  • eoghan
  • · Replies 4 ·
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4

Graduate What Happens if Coefficients of Kronecker Delta are Zero?

  • jonjacson
  • · Replies 10 ·
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10

Graduate Help with extracting alpha from: -alpha-asin(sin(alpha)(r/l)

  • dbarger1225
  • · Replies 3 ·
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3

High School Is f(x) = ax + b Truly a Linear Function?

  • pamparana
  • · Replies 1 ·
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1

Undergrad Solving Equation Ʃ(ai^x -b)^2 = C

  • Mikca10
  • · Replies 7 ·
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7

Undergrad Finding Third Angle of Vector in XYZ Plane

  • Rob K
  • · Replies 2 ·
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2

Graduate What is the difference between roots and weights in Lie algebra theory?

  • Andy_X
  • · Replies 1 ·
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1

Graduate Help proving equality of matrix expressions

  • Chuck37
  • · Replies 3 ·
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3

Graduate Resetting the Affine Transformation matrix

  • Avinash Raj
  • · Replies 2 ·
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2

Undergrad GEBRA: Representation and Operations of Matrices - FAQs

  • rollcast
  • · Replies 2 ·
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2

Undergrad What is the frustration with a professor's teaching style?

  • Nano-Passion
  • · Replies 7 ·
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7

Undergrad What does eigenvalues and eigenvectors mean?

  • chubbypaddy
  • · Replies 2 ·
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2

Undergrad Complex solution of a cubic function.

  • yoyoyo992
  • · Replies 2 ·
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2

Undergrad Further Maths, D1 - Dijkstra's Algorithm

  • I-need-help
  • · Replies 4 ·
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4

Graduate Help with Mobius Inversion in Riemann's Zeta Function by Edwards (J to Prime Pi)

  • SychoScribler
  • · Replies 2 ·
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2

Graduate Difference in Powers of Odd Primes

  • omalleyt
  • · Replies 3 ·
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3

Undergrad What algorithm can solve a linear minimization problem with given constraints?

  • specone
  • · Replies 3 ·
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3

Graduate When Is the Mod2-Reduction Map Onto for Matrix Groups?

  • Bacle
  • · Replies 2 ·
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2

Graduate Understanding Lie Algebra Operations: [A, B] and the meaning of ad

  • romsofia
  • · Replies 2 ·
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2

Undergrad Injective and Surjective linear transformations

  • AntsyPants
  • · Replies 4 ·
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4

Graduate Roots of Cubic Polynomials over R

  • alexfloo
  • · Replies 3 ·
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3

Graduate Can 3-fields be consistently defined and constructed?

  • Damidami
  • · Replies 8 ·
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8

Graduate Which Homomorphisms are Injective and Surjective between Z plus and Z plus?

  • sleventh
  • · Replies 2 ·
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2

Graduate Isomorphism & Isometry: Hilbert Spaces

  • jfy4
  • · Replies 17 ·
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17

Graduate Eigenvalues of a completely disconnected graph

  • kosmos
  • · Replies 8 ·
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8

Graduate Eigenvalues for a 400x400 normalized laplacian of a graph

  • kosmos
  • · Replies 8 ·
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8

Undergrad Eigenvalues and eigenvectors of symmetric 2x2 matrix?

  • malawi_glenn
  • · Replies 5 ·
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5

High School Why is BEDMAS/PEMDAS a widely used convention in mathematics?

  • kramer733
  • · Replies 2 ·
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2

Graduate Find the nth Term of a Generating Function

  • Emilijo
  • · Replies 1 ·
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1

Undergrad What are some good sources for learning abstract algebra?

  • 22984355
  • · Replies 1 ·
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1

Graduate Maximal subgroup of a product of groups?

  • moont14263
  • · Replies 2 ·
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2

Graduate Diagonalizing A: Is it Possible with Rational Numbers?

  • quasar987
  • · Replies 2 ·
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2

Graduate Generating Function for 0,1 Sequences with Period m

  • Emilijo
  • · Replies 8 ·
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8

Undergrad How do change of basis matrices work in linear algebra?

  • aaaa202
  • · Replies 3 ·
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3

Undergrad Finding the nth Partial Sum for a Series Involving Floor and Mod Operators

  • m84uily
  • · Replies 6 ·
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6

Graduate Skyline storage is only for symetric matrices?

  • Ronankeating
  • · Replies 1 ·
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1

Graduate Can Euler's Formula Be Modified to Create a Logarithmic Spiral?

  • Ahmidahn
  • · Replies 13 ·
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13

Undergrad How do I numerically find eigenvectors for given eigenvalues?

  • hkBattousai
  • · Replies 6 ·
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6

Graduate Question about the permutations of roots as polynomial coefficients

  • galoisjr
  • · Replies 2 ·
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2

Graduate Inner Product for Vectors in Complex Space

  • Hacky
  • · Replies 10 ·
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10

Undergrad Question about determinants and characteristic polynomials.

  • -Dragoon-
  • · Replies 7 ·
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7

Undergrad How Can Binary Vectors Be Ordered Through Transformation?

  • baxy
  • · Replies 3 ·
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3

Graduate Gauss Composition? and a naive composition law

  • Mathguy15
  • · Replies 3 ·
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3

Graduate Solving Queries on Operators: Af = Mf & BAf = f?

  • Longmarch
  • · Replies 9 ·
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9

Graduate Can Eigenvectors Diagonalize a Matrix with Only One Eigenvalue?

  • b00tofuu
  • · Replies 1 ·
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1

Graduate Are units considered irreducible

  • moont14263
  • · Replies 2 ·
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2

Graduate How can we proof this matrix norm equality?

  • JohnNL
  • · Replies 1 ·
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1

Graduate How to determine an infinitely dimensional matrix is positive definite

  • kevchang
  • · Replies 2 ·
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2

Undergrad Linear Programming - Separation of points

  • lockedup
  • · Replies 7 ·
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7

Graduate What is Nonunique Factorization Theory in Number Theory?

  • camilus
  • · Replies 5 ·
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5

Graduate How do stabilizers and isomorphisms work in the Sn group?

  • eddyski3
  • · Replies 1 ·
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1

Undergrad Is it possible to extract the diagonal elements of a matrix into a vector?

  • 7Deuce
  • · Replies 1 ·
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1

Graduate Fibonacci numbers as coefficients in three variable system of equations

  • fibonacci235
  • · Replies 2 ·
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2

Graduate Group isomorphisms and bijective maps

  • fa2209
  • · Replies 7 ·
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7

Undergrad Can a Formula Create True Randomness?

  • Krunchyman
  • · Replies 1 ·
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1

Graduate Order of Elements: Non-Abelian Group G & Correlation between |a|, |b|, |ab|?

  • Bachelier
  • · Replies 4 ·
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4

Graduate Components of the trace operation

  • fa2209
  • · Replies 5 ·
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5

High School Need program for operating on 200-digited numbers

  • jobsism
  • · Replies 5 ·
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5

Graduate Generalized eigenvectors/eigenvalues

  • AxiomOfChoice
  • · Replies 5 ·
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5

Undergrad Whats the best software to calculate very large numbers?

  • clearwater304
  • · Replies 12 ·
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12

Graduate Subgroups of dihedral group and determining if normal

  • sleventh
  • · Replies 19 ·
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19

Evaluating the Accuracy of (Attached) Statements

  • AlonsoMcLaren
  • · Replies 2 ·
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2

Graduate Is a Subgroup of a Normal Subgroup Always Normal?

  • Bachelier
  • · Replies 15 ·
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15

Undergrad Solving z^6 = 1 using De Moivre's Theorem |z|^6(cos 6θ + isin6θ) = 1

  • silontes
  • · Replies 9 ·
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9

High School Is n(0) Always Equal to 0? A Debate on Friend's Creative Proof

  • Nano-Passion
  • · Replies 38 ·
2
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38

Undergrad Why the inner product of two orthogonal vectors is zero

  • flyerpower
  • · Replies 3 ·
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3

Graduate Rank(AB) = Rank(A)Rank(B)?The Rank Product Theorem for Matrices

  • itpro
  • · Replies 1 ·
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1

Undergrad Why Must Free Variables Be Non-Leading in Linear Systems?

  • skwey
  • · Replies 2 ·
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2

Graduate Why is a Linear Transformation a Type-(1,1) Tensor?

  • marschmellow
  • · Replies 6 ·
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6