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 Cleaning up vocabulary and concepts
- JRPB
- · Replies 2 ·
Graduate Generalization of Lines, Planes (Finite Fields)
- Bacle
- · Replies 1 ·
Undergrad Is there a symbol for indicating one vector space is a subspace of another?
- SprucerMoose
- · Replies 3 ·
Graduate How to Represent Set S to Distinguish a Single n from All Natural Numbers?
- SprucerMoose
- · Replies 2 ·
Undergrad Finding eigenvalues of a 3 x 3 matrix
- dink87522
- · Replies 2 ·
Graduate Is the Product of A and An in a Cyclic Group of Order n Outside the Group?
- yicong2011
- · Replies 3 ·
Graduate (n-1)-dimensional subspace is the null space of a linear functional
- yifli
- · Replies 2 ·
Graduate Is \(\mathbb{Q}(\sqrt{5})\) a Unique Factorization Domain?
- math_grl
- · Replies 3 ·
Graduate Chinese Remainder Theorem: A Powerful Tool in Number Theory
- calvino
- · Replies 5 ·
Graduate Normal Derivative at Boundary Surface S Explained
- ssky
- · Replies 9 ·
Graduate Fonction smaller than iterated logs, but not constant
- fortin946
- · Replies 5 ·
Undergrad How to show something is a subspace
- HappyN
- · Replies 4 ·
Graduate Lattices in nilpotent Lie groups
- ibond
- · Replies 1 ·
Undergrad Linear Independence/Dependence of Vectors
- FancyChancey
- · Replies 6 ·
Graduate Relationship Between Symplectic Group and Orthogonal Group
- Bacle
- · Replies 2 ·
Graduate Is U + U' a subspace if U and U' are contained in W?
- nsj
- · Replies 5 ·
Undergrad How to convert polynomial to matrix?
- m2006
- · Replies 3 ·
Undergrad Are Matrices with the Same Eigenvalues Always Similar?
- kini.Amith
- · Replies 16 ·
Graduate Proving Gauss's Lemma Extension in Polynomial Factoring
- math_grl
- · Replies 1 ·
Graduate Left- and Right- Kernels of Bilinear maps B:VxV->K for V.Spaces
- Bacle
- · Replies 1 ·
Undergrad Q: Notation for Differentiable Functions
- rudders93
- · Replies 2 ·
Graduate Vectors with different coordinate systems
- Hoeni
- · Replies 2 ·
Graduate Can someone explain the Lie algebra concept to me?
- dimension10
- · Replies 1 ·
Graduate The Determinant of a Matrix of Matrices
- EngWiPy
- · Replies 5 ·
Graduate Finding the canonical form of a quadratic form.
- Omukara
- · Replies 3 ·
Graduate Complex Hilbert Space as a Symplectic Space?
- Bacle
- · Replies 2 ·
Graduate Is R a Subring of M2(Z)?
- runescape09
- · Replies 4 ·
Graduate What Are Homology and Graded Groups in Mathematics?
- homology
- · Replies 8 ·
Undergrad How do you find the basis for the spanning set which contains matrices?
- lawnmowjob
- · Replies 5 ·
Undergrad What Are the Best Online Resources for Learning Abstract Algebra?
- NukeEng101
- · Replies 2 ·
Graduate Listing the elements of a symmetry group of a frieze pattern
- JohnMcBetty
- · Replies 1 ·
Undergrad Differnece between the Kernel and the Nullspace?
- Xyius
- · Replies 17 ·
Graduate How can a vector be multiplied by itself ?
- ahmadka
- · Replies 7 ·
Graduate Discover the Transcendental Nature of E+pi at AMS Meetings
- J.F.
- · Replies 9 ·
Graduate Prove an Infinite Series is Irrational
- TylerH
- · Replies 21 ·
Graduate Permutation Group: Understanding Elementary Permutations
- Buri
- · Replies 29 ·
Graduate Derivative of determinant wrt matrix
- bakav
- · Replies 3 ·
Graduate Why is the Integer Group Z Considered Cyclic?
- Zorba
- · Replies 1 ·
Undergrad Square a Vector: Magnitude x Vector
- MrLobster
- · Replies 3 ·
Graduate Quotient Ring of a Polynomial Ring
- GargleBlast42
- · Replies 1 ·
Undergrad Usefulness of Basis for a Vector Space, General?
- Bacle
- · Replies 8 ·
Undergrad Vectors, Matrices and Determinants. Oh my.
- xxChrisxx
- · Replies 4 ·
Graduate Mobius transformation (isomorphism)
- lavster
- · Replies 4 ·
Graduate Solution to a linear equation of matrices
- bakav
- · Replies 5 ·
Undergrad Column Space Basis: Why Does Row Reduction Work?
- Ryker
- · Replies 10 ·
Graduate Suppose I get the eigenvalues of A, which are
- sessomw5098
- · Replies 2 ·
Undergrad Proof for cross product (please)
- yagami light
- · Replies 17 ·
Undergrad Evaluating Continued Fraction: \langle 1, 2, 1, 2, \ldots \rangle
- math_grl
- · Replies 3 ·
Graduate Nonlinear Least Squares Minimization
- swartzism
- · Replies 1 ·
High School Sequence what is the formula? 2 0 2 0 3 3 2 4
- Jackiexoxoxo
- · Replies 6 ·
Undergrad I writing a mathematica function.
- JohnMcBetty
- · Replies 5 ·
Graduate What are the Properties of (0,1)-Matrices with Constant Row Sum 3?
- eulersolid
- · Replies 20 ·
High School Proving the Positivity of Negative Times Negative: An Algebraic Approach
- Taturana
- · Replies 9 ·
Graduate Optimizing Matrix Inversions: Tips for Faster Calculations
- daudaudaudau
- · Replies 6 ·
Undergrad Sum of Numbers with distinct digiits?
- FryerMath
- · Replies 16 ·
Graduate Proving Completeness Relations in Orthonormal Bases | Quantum Mechanics
- McLaren Rulez
- · Replies 4 ·
Graduate Is There a Rational Point Not Equidistant from Any Two Lattice Points?
- hermes7
- · Replies 1 ·
Graduate Showing two matrices are not unitarily similar
- chuy52506
- · Replies 4 ·
Undergrad Order of Eigenvectors in Diagonalization
- blackrose75
- · Replies 1 ·
Graduate Finding an Orthogonal Polynomial to x^2-1/2 on L2[0,1]
- mandygirl22
- · Replies 2 ·
Graduate Modulus Predictions for Binomial Expansion Coefficients?
- coolul007
- · Replies 4 ·
Graduate Spectral Radius Inequality for Matrix Products
- defunc
- · Replies 1 ·
Graduate Natural isomorphisms between dual spaces
- wisvuze
- · Replies 6 ·
Undergrad Find P2 on Plane Given P1 & Dist. 3 Units
- Evien
- · Replies 3 ·
High School Writing numbers in statistical way?
- BenVitale
- · Replies 3 ·
Graduate Does Every Field Have a Subfield Isomorphic to Q or Z mod p?
- ECmathstudent
- · Replies 3 ·
Listen to Ethereal Primal Music of Pi
- thetexan
- · Replies 2 ·
Graduate Adjoint Functors: Explaining What They ARE
- daveyp225
- · Replies 3 ·
Graduate Infinite Semi-Pronic Prime Series Appears to Converge
- Rudy Toody
- · Replies 3 ·
Undergrad Difference between Inner Product and Dot Product
- Taturana
- · Replies 2 ·
Graduate I am trying to relate eigenvalues with singular values. In particular,
- sessomw5098
- · Replies 2 ·
Undergrad Perfect Numbers and their reciprocals.
- Slats18
- · Replies 2 ·
Graduate Prime & Maximal Ideals of $\mathbb Z_7$ & $\mathbb Z_3 \times \mathbb Z_5$
- DanielThrice
- · Replies 1 ·
Graduate How are multiplication tables for fields created?
- phillyj
- · Replies 1 ·
Undergrad What does a three-dimensional matrix look like?
- Hypatio
- · Replies 20 ·
Undergrad Could somebody help motivate linear algebra for me?
- Lanza52
- · Replies 7 ·
Graduate Cholesky for complex *symmetric*
- phil.cummins@
- · Replies 3 ·
Undergrad Help Interpeting Mathematica Result
- pholvey
- · Replies 4 ·
Graduate Totient function and distinct primes.
- Yuqing
- · Replies 7 ·
High School The Mysterious Nature of Prime Numbers in Science
- EIRE2003
- · Replies 24 ·
Graduate Finding symmetries both geometrically and analytically. PLEASE HELP
- JohnMcBetty
- · Replies 4 ·
Graduate Is a Direct Sum of Rings Composed of Elements from Each Original Ring?
- BustedBreaks
- · Replies 2 ·
Undergrad General rule for a confusing series
- Jesseac
- · Replies 2 ·
Graduate Does a Perfect Square Lie Within these 10 Integers?
- myth_kill
- · Replies 2 ·
High School Solve Line Intersection Word Problem: Car A vs Car B
- scotty2024
- · Replies 9 ·
Undergrad Resolving line tension using vectors
- Potat
- · Replies 3 ·
Graduate Conjectures by Legendre and Brocard made stronger.
- Rudy Toody
- · Replies 2 ·
Undergrad How Can I Linearize the Complex Function z = (2+i)/(i(-3+4i))?
- craig16
- · Replies 3 ·
Graduate Can I Find an Expression Relating x to x1 and x2 while Decomposing Operator A?
- shaiguy6
- · Replies 1 ·
Graduate The Commutator in Group Theory vs QM
- chickenz
- · Replies 6 ·
Undergrad Diagonalizability and Invertibility
- JG89
- · Replies 9 ·
Undergrad Understanding Change of Basis in Vector Spaces
- princy
- · Replies 4 ·
Graduate How can I prove the inverse of a unitary matrix is unitary?
- chuy52506
- · Replies 1 ·
Graduate Facinating experiment with primes and resulting theory
- thetexan
- · Replies 9 ·
Graduate Multiplication of a rotated vector entries
- baggiano
- · Replies 2 ·
Graduate Listing symmetries geometrically and analytically, what do I do?
- JohnMcBetty
- · Replies 5 ·
Undergrad How to solve the equations with modulo m
- KFC
- · Replies 2 ·
Graduate Trouble Understanding The Order of A Group Element
- darkchild
- · Replies 7 ·
High School What is the approximate number of primes between 1 and a given limit?
- jobsism
- · Replies 6 ·
Graduate Prove Prime Ideal Problem: I/J ⊆ P
- mathmajor2013
- · Replies 4 ·