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.
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Graduate Classification of the representations of the Lorentz algebra
- martin_blckrs
- · Replies 1 ·
Graduate Is tr(A A^T) Equal to tr(A^T A)?
- ha9981
- · Replies 1 ·
Graduate Why can we assume m is prime in Abel's quintic proof?
- icantadd
- · Replies 2 ·
Graduate What does the Legendre symbol (D/p) mean in algebraic number theory?
- JasonRox
- · Replies 2 ·
Undergrad Where Can I Find Linear Algebra Exam Papers?
- matqkks
- · Replies 4 ·
Undergrad Why does a zero determinant mean there's no basis for the nullspace?
- dschmidt12
- · Replies 4 ·
Graduate Skew Symmetric Determinant Proof
- jolt527
- · Replies 2 ·
Undergrad Injection, surjection, and bijection
- Koshi
- · Replies 4 ·
Graduate Can NNLS algorithms solve overdetermined systems with positive constraints?
- Sergei_G
- · Replies 3 ·
Undergrad Vector spaces and matrices question
- sheelbe999
- · Replies 1 ·
High School Game theory basics
- Geer_J
- · Replies 3 ·
Undergrad Proving Linear Injectivity in Finite-Dimensional Vector Spaces
- Servarus
- · Replies 6 ·
Graduate How can the inverse of a Householder matrix be verified using the given proof?
- Chris Rorres
- · Replies 1 ·
Graduate Suppose A^k=0 for some integer k is greater than or equal to 1
- Chris Rorres
- · Replies 2 ·
Graduate The order and signature of a k-cycle
- Etenim
- · Replies 2 ·
Graduate Clearer Understanding of Permutation and Transpositions
- MellyVG257
- · Replies 1 ·
Graduate Problem regarding computation of factor groups.
- Jösus
- · Replies 2 ·
Graduate How to Solve a Homogeneous System with Norm Constraint?
- mnb96
- · Replies 5 ·
Undergrad Can You Reduce Simultaneous Equations by Eliminating Variables?
- BobbyBear
- · Replies 5 ·
Undergrad What Is The Purpose Of Matrix Algebra?
- Lancelot59
- · Replies 4 ·
Graduate Linear Algebra Problem: n, k Positive Ints, W, V, T
- awef33
- · Replies 1 ·
Undergrad HOw can this determinant be 0 ?
- zetafunction
- · Replies 6 ·
Graduate Exponential of (Markov Chain) Transition matrix
- NewStudent200
- · Replies 5 ·
Graduate Characteristic polynomial for nilpotent matrix.
- anastasis
- · Replies 7 ·
Graduate Regularizing indefinite B in generalized eigenvalue problem Ax=λBx
- Born2bwire
- · Replies 3 ·
Graduate Symmetries and shift of coordinates in 3D
- mnb96
- · Replies 12 ·
Graduate Finite Field Elements: F2n (1-8)
- jacquelinek
- · Replies 1 ·
Graduate Eigen values/vectors large symetric matrix
- Gaso
- · Replies 3 ·
Graduate What is the dot product of tensors?
- sugarmolecule
- · Replies 5 ·
Graduate Square root of 1 with mod how to prove it?
- jacquelinek
- · Replies 1 ·
Graduate Proving the Vector Space Property: cv = 0, v ≠ 0 → c = 0
- bjgawp
- · Replies 7 ·
Graduate Proof of Fermat's Little Theorem: g Generator of Fp*
- jacquelinek
- · Replies 1 ·
Undergrad Rotating a Parabola: 30o Anti-Clockwise About Origin
- squenshl
- · Replies 2 ·
Undergrad Understanding Linear Mapping: A Non-Technical Explanation
- Cardebaun
- · Replies 1 ·
Graduate Can P(F) be written as a direct sum of two subspaces?
- bjgawp
- · Replies 5 ·
Graduate What is the significance of g(x) in number theory?
- zetafunction
- · Replies 1 ·
Graduate What is the proof for Byron's Conjecture? Define Znx and prove its properties.
- koukou
- · Replies 3 ·
High School Proving Inequalities: Multiplying 2 Negs Becomes a Positive
- Whatever123
- · Replies 8 ·
Graduate What is the Proof for (p-1)!≡±1 (mod p) in Number Theory?
- koukou
- · Replies 2 ·
Graduate Polynomial Expansion of a Constant and Variable
- kyleballiet
- · Replies 6 ·
Graduate Find the matrix and eigenvalues for the quadratic form Q(x) = 2x₁x₂ + 2x₁x₃ + 2x₂x₃
- squenshl
- · Replies 1 ·
Graduate Plane Fitting with Linear Least Squares
- mnb96
- · Replies 2 ·
Undergrad Nilpotent Matrices: How to Determine If Matrix is Nilpotent
- Dragonfall
- · Replies 9 ·
Undergrad How to show a determinant is divisible by a number without evaluating it
- hahatyshka
- · Replies 1 ·
High School The most accurate integral for the value of pi
- stef.grob
- · Replies 2 ·
Graduate Is There an Alternative Addition for Complex Numbers or Quaternions?
- Gerenuk
- · Replies 10 ·
Graduate Does the Riemann hypothesis imply anything about Ulam's spiral?
- Damidami
- · Replies 2 ·
Undergrad Solving Systems of Equations: Cramer's Rule vs Standard Method
- FrankJ777
- · Replies 1 ·
Undergrad Is it possible for matrices to be equal but their columns not equal?
- yaganon
- · Replies 5 ·
Graduate Ellipsoid Equation: Finding the Classical Form with Rotated Radii
- mnb96
- · Replies 2 ·
Graduate Do Bernoulli Numbers Always Have Unique Prime Factors in Their Denominators?
- Damidami
- · Replies 1 ·
Graduate Is the Symmetric Difference of Finite-Dimensional Subspaces Well-Defined?
- Talisman
- · Replies 2 ·
Undergrad Cross product of row and column vector
- Gear300
- · Replies 5 ·
Graduate Monster Group Talk: Recommended Books for 1st Year Math Grads
- shaggymoods
- · Replies 1 ·
Graduate How Do Linear Transformations Form a Basis in Finite Dimensional Spaces?
- WiFO215
- · Replies 2 ·
Graduate Contour integral vanishing on small circle in zeta functional equation
- ilario980
- · Replies 8 ·
Graduate Find b from a=b^x mod x^2 given a,x,p,q
- vanvincent
- · Replies 7 ·
Graduate Are sums of subspaces commutative and associative?
- bjgawp
- · Replies 1 ·
Graduate A seemingly simple combinatorial problem
- tanujkush
- · Replies 10 ·
Undergrad What Are the Applications of Linear Algebra in Physics and Astronomy?
- lubuntu
- · Replies 2 ·
Undergrad I can't understand most of the topics on my Linear Algebra Book.
- sarah22
- · Replies 10 ·
Undergrad Isomorphism: What's the Difference Between 1x1 Matrices and Scalars?
- kof9595995
- · Replies 9 ·
Undergrad Can a 2×2 matrix have complex eigenvalues?
- Cygni
- · Replies 8 ·
Graduate Related to partition theory, ways of representing a number
- tanujkush
- · Replies 8 ·
Graduate Is H a Subgroup of GL(n,R)?
- cmj1988
- · Replies 4 ·
Graduate Solutions to a set of polynomials (Commutative Algebra)
- mtak0114
- · Replies 2 ·
Graduate Proof about commutator bracket
- ice109
- · Replies 2 ·
Undergrad Parseval's equality and theorem?
- car202
- · Replies 1 ·
Undergrad Vector Space Q: Is Additive Identity Unique?
- bjgawp
- · Replies 8 ·
Graduate What is the quadratic Casimir operator and why is it maximally commuting?
- Wiemster
- · Replies 5 ·
Undergrad Determinant of an orthogonal matrix
- squenshl
- · Replies 3 ·
Graduate Where n is an odd positive integer
- squenshl
- · Replies 1 ·
Undergrad System of linear equations-unique, infinitely many, or no solutions
- kingwinner
- · Replies 1 ·
Graduate Does a=-g Imply a*x^1=-g*x^2 in Lie 3-Algebras?
- Digs
- · Replies 3 ·
Graduate How Does the Length of a Kronecker Product Relate to Its Component Vectors?
- Dragonfall
- · Replies 3 ·
Undergrad Why is the determinant of this matrix zero?
- encomes
- · Replies 4 ·
High School Projection of vectors and scalars
- Red_CCF
- · Replies 1 ·
Undergrad Is there a unique identity element for matrices?
- Gear300
- · Replies 2 ·
Graduate Which Pairs (p,q) Satisfy 2^p+3^q and 2^q+3^p Being Prime?
- rrronny
- · Replies 5 ·
Graduate Normalizer subgroup proof proving the inverse
- cmj1988
- · Replies 1 ·
Graduate How do I integrate dA(t)A^-1(t)=Bdt?
- exmachina
- · Replies 1 ·
High School Solving a system of three linear equations with fractions
- CanaBra
- · Replies 6 ·
Graduate Trace of a matrix and an expansion of eigenvectors
- CuppoJava
- · Replies 2 ·
Graduate Why does each field of characteristic zero contain a subfield isomorphic to the rationals?
- CoachZ
- · Replies 1 ·
Graduate Infinite product of consecutive odd/even, even/odd ratios
- Loren Booda
- · Replies 3 ·
Graduate Möbius function and prime numbers
- rrronny
- · Replies 2 ·
Undergrad Solution set of a 3×4 system with parameters a, b, c
- oceanhow
- · Replies 2 ·
Graduate How Can Group Theory Describe Human Social Interactions?
- rmas
- · Replies 2 ·
High School Why is 0^0 considered 1 while 0^1 equals 0?
- kaskus
- · Replies 16 ·
Graduate Finding roots of determinant for sparse matrix with time-dependent entries
- krindik
- · Replies 15 ·
Graduate Find All Transitive G-Sets Up to Isomorphism w/ Subgroups of G
- daveyinaz
- · Replies 3 ·
Undergrad Meaning of |⟨f,g⟩|² for dot product in R^n
- CantorSet
- · Replies 2 ·
Graduate Angular velocity from two Matrices
- brownmonster
- · Replies 10 ·
Graduate Basis for subspace where coordinates sum to zero, with unit norm
- ahadmir
- · Replies 1 ·
Undergrad Understanding Matrices Infinite: Case 3
- jwxie
- · Replies 3 ·
Graduate What does it mean to quotient a category by an object?
- fallgesetz
- · Replies 1 ·
Graduate How Do F(X,n) and Q(n) Relate Through Partial Summation?
- flouran
- · Replies 1 ·
Undergrad Minimising a vector over a restricted range
- YellowPeril
- · Replies 3 ·
Graduate When does (a^n - b^n) divide (a^n + b^n)?
- joeblow
- · Replies 12 ·
Undergrad How can I learn about the maximum and eigenvalues of matrices?
- azizz
- · Replies 6 ·