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 Performing MLEM with Response Matrix for 4pi Imager and 1x3 Vector Input

  • a.glick
  • · Replies 1 ·
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1

List all the subgroups H of C_(12)

  • AutGuy98
  • · Replies 5 ·
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5
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3

Prove that the 12-th roots of unity in C form a cyclic group

  • AutGuy98
  • · Replies 3 ·
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3

Prove Lagrange’s Theorem for left cosets

  • AutGuy98
  • · Replies 3 ·
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3

Undergrad Transforming Vectors and Tensors

  • fog37
  • · Replies 8 ·
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8

Undergrad Showing direct sum of subspaces equals vector space

  • schniefen
  • · Replies 3 ·
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3

Graduate Diffusion equation and a system of equations with reciprocal unknowns?

  • Hypatio
  • · Replies 2 ·
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2

Undergrad Understanding linear transformation

  • schniefen
  • · Replies 10 ·
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10

Proving parallel lines using points and vectors

  • algebruh
  • · Replies 1 ·
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1

Graduate Three dimensional Lie algebra L with dim L' = 1

  • valtz
  • · Replies 1 ·
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1

Undergrad Master the Eigenvalue Algorithm for Math GRE Exams

  • brydustin
  • · Replies 1 ·
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1

Graduate Operator in a real vector space has an upper block triangular matrix

  • vish_maths
  • · Replies 1 ·
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1

Graduate Proof of Maximal Left Ideal Generation in the Ring Mn(F)

  • xixi
  • · Replies 1 ·
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1

Graduate Implicit Runge–Kutta in R^3 space

  • Beduino
  • · Replies 1 ·
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1

Graduate Are sums and intersections of annihilator ideals again annihilators?

  • DukeSteve
  • · Replies 1 ·
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1

Graduate Reducing Rank-3 Tensor Field into Matrix

  • Kreizhn
  • · Replies 1 ·
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1

Graduate What Are the Kernels of Robotic Solving Methods in Infinite Differentiability?

  • DanielThrice
  • · Replies 1 ·
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1

Graduate What is the principle of lifting invariants in Lie algebras?

  • Office_Shredder
  • · Replies 1 ·
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1

Graduate Do Left and Right Semisimplicity Coincide in Non-Unital Rings?

  • Ruslan_Sharipov
  • · Replies 1 ·
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1

Graduate Order of Elements in a Group: A Quick Check of Understanding

  • Artusartos
  • · Replies 1 ·
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1

Graduate Variance captured in coordinate axis.

  • simpleton
  • · Replies 1 ·
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1

Graduate How Do Eigenvectors of Block Covariance Matrices Interrelate?

  • GoodSpirit
  • · Replies 1 ·
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1

Graduate How Do You Calculate Probabilities with Non-Coprime Residue Classes?

  • CRGreathouse
  • · Replies 1 ·
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1

Graduate Applying 3 Concurrent Angular Velocities to Vectors

  • Ryoko
  • · Replies 1 ·
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1

Graduate Can We Approximate the Matrix Square Root of A+B Under Certain Conditions?

  • jostpuur
  • · Replies 1 ·
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1

Undergrad Rotate a shape back to its original position with the fewest rotations

  • kolleamm
  • · Replies 21 ·
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21

Undergrad Dimension of span of consecutive differences u_1-u_2, u_2-u_3, ..., u_n-u_1

  • schniefen
  • · Replies 2 ·
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2

Teaching invertible matrices to students

  • roni1
  • · Replies 1 ·
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1

Zero divisor for polynomial rings

  • cbarker1
  • · Replies 1 ·
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1

High School Magnitude of basis vectors in non-orthogonal coordinates

  • snoopies622
  • · Replies 12 ·
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12

Undergrad If T^2 = T, where T is a linear operator on V, T=I or T=0?

  • JJ__
  • · Replies 11 ·
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11

Undergrad Find the closest distance between two lines segments?

  • kolleamm
  • · Replies 1 ·
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1

Graduate Proving Division of Local Ring in Ring with Idempotents

  • xixi
  • · Replies 1 ·
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1

Graduate Double Dual Example: V=R^2 to V** Transformation

  • Damidami
  • · Replies 3 ·
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3

Graduate C* algebras, states, finite graphs

  • marcus
  • · Replies 1 ·
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1

Graduate Exploiting a the inverse to determine eigen vectors?

  • Jonnyb302
  • · Replies 1 ·
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1

Graduate Multilinear Maps of V^n into Reals and Effect of Linear Transforma

  • WWGD
  • · Replies 1 ·
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1

Graduate Can the trace be expressed in terms of the determinant?

  • Jhenrique
  • · Replies 1 ·
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1

Graduate How Can I Catch Up on Field Theory After Being Sick?

  • HardBoiled88
  • · Replies 1 ·
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1

Graduate Finding Dual Basis of Linear Functionals for a Given Basis in C^3

  • Abuattallah
  • · Replies 1 ·
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1

Graduate Multiplicative and additive identities as successors

  • pilpel
  • · Replies 1 ·
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1

Graduate Designating matrices by (system2 operator system1)

  • Lojzek
  • · Replies 1 ·
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1

Graduate PGL(2,F) action on projective line as Möbius transformations

  • Phillips101
  • · Replies 1 ·
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1

Graduate Group Theory and Energy Eigenstates in Quantum Mechanics

  • praharmitra
  • · Replies 1 ·
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1

Graduate What is the dimension of the graph of F?

  • rtgt
  • · Replies 1 ·
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1

Graduate Trying to Develop a Decryption Scheme for a Given Encryption

  • BWElbert
  • · Replies 1 ·
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1

Graduate Rational Numbers That Are Hard To Prove?

  • Office_Shredder
  • · Replies 3 ·
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3

Undergrad I'm trying to write a program that plots the riemann zeta function

  • LastTimelord
  • · Replies 1 ·
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1

Graduate Terminology for (anti)symmetric tensors in characteristic 2

  • Hurkyl
  • · Replies 1 ·
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1

Graduate Proving the Chinese Remainder Theorem for Reduced Residues Modulo mn

  • frowdow
  • · Replies 1 ·
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1

Graduate Non-adjoint Conjugate of Pure State Vector

  • Pythagorean
  • · Replies 1 ·
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1

Graduate How Does a Quotient Module Relate to Its Generators in a Local Ring?

  • Artusartos
  • · Replies 1 ·
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1

Graduate Does there exist a transformation between a loop and a close loop ?

  • peter308
  • · Replies 1 ·
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1

Graduate Reconstructing operator matrix from subspace samples

  • uekstrom
  • · Replies 1 ·
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1

Graduate Orthogonal Subgroups : on Modules?

  • Bacle
  • · Replies 1 ·
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1

Graduate What is SU*(N)? Definition and Explanation

  • William Nelso
  • · Replies 1 ·
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1

Graduate Solving: How H Normalises [H,K]?

  • Silversonic
  • · Replies 1 ·
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1

Graduate Matrix form of Lie algebra highest weight representation

  • vega12
  • · Replies 1 ·
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1

Graduate Learn a bit more about triality of SO

  • kexue
  • · Replies 1 ·
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1

Graduate Solve Weird Matrix Equation to Get Values for P

  • maistral
  • · Replies 5 ·
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5

Graduate Confusion about the definition of adjoint representation and roots.

  • AlbertEi
  • · Replies 1 ·
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1

Graduate Solving for a Lie Algebra in General

  • pdxautodidact
  • · Replies 1 ·
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1

Graduate Deriving transformation matrix from clues

  • GooseMunch
  • · Replies 1 ·
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1

Graduate Solving AM=MB for 3x3 matrices without vectorization

  • daviddoria
  • · Replies 1 ·
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1

Graduate How Can Orbits Depend on Each Other in Colored Graph Automorphisms?

  • matt42
  • · Replies 1 ·
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1

Graduate Diagonal Perturbations of Linear Equations

  • JohnSimpson
  • · Replies 1 ·
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1

Graduate Can Structure Constants Define a Metric in a 10D Lie Algebra?

  • jfy4
  • · Replies 1 ·
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1

Graduate Different Type of Extension Problem for Groups

  • Hello Kitty
  • · Replies 1 ·
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1

Graduate Principal component analysis (PCA) with small number of observations

  • miguelcc
  • · Replies 1 ·
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1

Graduate Validity of Direct Product Structure of Symmetry Group

  • Newtime
  • · Replies 1 ·
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1

Graduate Tensor Products and Maps Factoring Through

  • WWGD
  • · Replies 6 ·
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6

Graduate Calculating an expression for trace of generators of two Lie algebra

  • vnikoofard
  • · Replies 1 ·
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1

Graduate Why is the p-th power of trace homogeneous rather than linear?

  • Rasalhague
  • · Replies 1 ·
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1

Graduate Subalgebra of one less dimension

  • jostpuur
  • · Replies 1 ·
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1

Graduate How Do Radical Ideals Relate to Submodules in Algebra?

  • alexfloo
  • · Replies 1 ·
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1

Graduate Can B Be Determined from Given A and C in Kronecker Product?

  • umut_caglar
  • · Replies 1 ·
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1

Graduate Is There a Name for a Subcategory Acting Like an Ideal in Category Theory?

  • tmatrix
  • · Replies 1 ·
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1

Graduate Is \alpha in LK determined by polynomials and elements from subfields L and K?

  • winter85
  • · Replies 1 ·
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1

Graduate Is There an Algorithm for Solving the Combinatorial Design Problem?

  • Constantinos
  • · Replies 1 ·
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1

Graduate Automorphism of these Cayley graphs

  • tsang
  • · Replies 1 ·
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1

Graduate Find Cartan Subalgebra for Algebra Given Generators

  • CuriosusNN
  • · Replies 1 ·
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1

Undergrad Matrix prerequisities for Gauss elimination

  • Ronankeating
  • · Replies 1 ·
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1

Graduate Lie algebras contained in Universal Enveloping Algebra

  • Couchyam
  • · Replies 1 ·
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1

Graduate Linear combinations of structure constants

  • AlphaNumeric2
  • · Replies 4 ·
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4

Graduate Accurate estimation of complex eigenvalues

  • soikez
  • · Replies 1 ·
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1

Graduate Are FG-Modules More Advantageous Than Group Representations?

  • OMM!
  • · Replies 1 ·
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1

Graduate Multiplicative groups of nonzero reals and pos. reals

  • Bachelier
  • · Replies 1 ·
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1

Graduate Is this a route to the prime number theorem?

  • arivero
  • · Replies 1 ·
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1

Graduate Is the T x S^1 action on C^infinity functions free?

  • Firefly!
  • · Replies 1 ·
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1

Graduate On Finding Lie Algebra Representations

  • antibrane
  • · Replies 1 ·
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1

Undergrad Sparse Matrix transformation to locate columns containing zeros

  • taknevski
  • · Replies 1 ·
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1

Undergrad Procedure for orking out the basis of the kernel of a linear transformation.

  • sid9221
  • · Replies 1 ·
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1

Graduate Non-Square Skew (Symmetric/Repeating) Matrix?

  • GreenLRan
  • · Replies 1 ·
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1

Graduate Arithmetical function and distributions

  • zetafunction
  • · Replies 1 ·
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1

Graduate An identity about Gamma and Riemann function

  • zetafunction
  • · Replies 1 ·
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1

Undergrad Elementary Row Operations and Preserving Solutions.

  • Bacle
  • · Replies 1 ·
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1

Undergrad Proving Rational Solutions in Linear Systems with Rational Coefficients

  • e(ho0n3
  • · Replies 1 ·
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1

Graduate Triangle homography is possible I am a first?

  • mrStrange
  • · Replies 16 ·
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16

Graduate Optimizing product of unitary matrices matching a target vector

  • bastpg
  • · Replies 3 ·
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3