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 Proving asymptotics to sequences
- CRGreathouse
- · Replies 1 ·
Undergrad Is the First Digit of a Sequence of Numbers Always Periodic? (without prefix)
- Asclepius
- · Replies 8 ·
Graduate Is π₁ the only homotopic functor?
- quasar987
- · Replies 2 ·
Graduate Is the inner product a bilinear function in vector spaces?
- quasar_4
- · Replies 1 ·
Graduate Can the Homotopy Extension Property be applied to all dimensions and spaces?
- Ant farm
- · Replies 4 ·
Undergrad Vector Spaces, Dimension of Subspace
- ashnicholls
- · Replies 4 ·
Undergrad How to Calculate Permutation Powers with Functional Notation?
- vivaitalia1
- · Replies 6 ·
Graduate Solving Polynomial Algebra in Z_3[x] Modulo 1+x^2
- wu_weidong
- · Replies 1 ·
Undergrad Short description about dihedrals?
- vivaitalia1
- · Replies 6 ·
Graduate A Question to Trouble Even the Best of You
- adityab88
- · Replies 25 ·
Graduate Orbit Type Strata of C^3: 2-torus Action (a,b)
- HMY
- · Replies 3 ·
Graduate Finding Greatest Integer Divisor for Primes on GRE Math Practice Test
- jammidactyl
- · Replies 3 ·
Graduate Proving the Constructibility of Numbers: Hints and Proofs
- b0mb0nika
- · Replies 3 ·
Graduate Proving Simplicity of Lie Algebra L: Basis Elements and Ideal Structure
- ElDavidas
- · Replies 1 ·
Graduate More docile dfn of local path-connectedness?
- quasar987
- · Replies 3 ·
Undergrad Linear Programming: Maximize Profit for Biscuit Manufacturer
- sauravbhaumik
- · Replies 1 ·
Graduate Isomorphism O: L2(E) to (E,E*) for Vector Spaces over Field K
- kthouz
- · Replies 1 ·
Graduate Eigenvalues And Eigenvectors Problems
- kthouz
- · Replies 1 ·
Undergrad Does scalar multiplication preserve the span in Gram-Schmidt orthonormalization?
- dntmn
- · Replies 2 ·
Undergrad Multiplying non-disjoint permutation cycles
- Saint Medici
- · Replies 3 ·
Graduate What is the principal representation?
- Ultraworld
- · Replies 5 ·
Graduate Weierstrass theorems and primes.
- tpm
- · Replies 1 ·
Graduate Can a Change of Basis Matrix be Pre-multiplied with a Transformation Matrix?
- Sumanta
- · Replies 3 ·
Undergrad Intermediate Value Theorem for Polynomials
- Rhythmer
- · Replies 3 ·
High School Easy Questions, Difficult Answers
- Rhythmer
- · Replies 18 ·
Undergrad What are some practical applications of linear algebra in electrical circuits?
- hotcommodity
- · Replies 2 ·
Graduate Does Euler's Product Over Primes Converge for s > 1?
- tpm
- · Replies 1 ·
Graduate The Klein bottle using the Euler caracteristic + orientability caracterisation
- quasar987
- · Replies 2 ·
Graduate Is the sum of Non-trivial Zeros of the Riemann Zeta Function calculable?
- tpm
- · Replies 1 ·
Undergrad Can Divisibility of Powers Imply Divisibility of Bases?
- bitshift
- · Replies 22 ·
Graduate What is the intuition behind exact sequences and their lemmas?
- StatusX
- · Replies 5 ·
Graduate Not clear about the change of basis in new space
- Sumanta
- · Replies 3 ·
Graduate Is the distribution of almost-primes known.
- tpm
- · Replies 1 ·
Graduate Greatest Lower Bound: Prove It!
- mariouma
- · Replies 6 ·
Graduate 3x3 similar matrices defined by characteristic and minimal polynomials
- JamesTheBond
- · Replies 3 ·
Graduate Deducing Properties of M^2=I Given an nxn Matrix
- Ultraworld
- · Replies 8 ·
Graduate Some questions about reducible matrices and operators
- Sumanta
- · Replies 2 ·
Graduate Possible Values for Preimage Count in Meromorphic Functions on Riemann Sphere?
- Ant farm
- · Replies 2 ·
High School Missing number in the series 10, 9, 60, 90, 70, 66
- it.anoopk
- · Replies 9 ·
Graduate Fundamental polygons and surfaces
- quasar987
- · Replies 4 ·
Graduate GL(2;C) is the group of linear transformations on C^2
- eddo
- · Replies 1 ·
Graduate Finding descriptions of empty subsets for subring proofs
- blacklily
- · Replies 11 ·
Undergrad Understanding Eigen Vectors and Diagonalization for a 2x2 Matrix
- koolrizi
- · Replies 4 ·
Graduate Rings, ideals and Groebner basis
- AlphaNumeric
- · Replies 1 ·
Undergrad Proving Z is Abelian Group Under Normal Addition
- pivoxa15
- · Replies 6 ·
Graduate Determinant where the matrix entries may not be commutative
- leon1127
- · Replies 4 ·
Graduate Can we Construct an Exact Segment of Value \sqrt(n) for Any Natural Number n?
- tpm
- · Replies 2 ·
Graduate Linear independency of operators
- radou
- · Replies 3 ·
Undergrad Rank(A) + nullity(A) = no. of cols of A (WHY?)
- nyxynyx
- · Replies 6 ·
Graduate Sum of cosines with odd multiples of π/n when n is odd
- xuying1209
- · Replies 4 ·
Graduate How Can Newton's Method Be Modified for Polynomial Congruences?
- tpm
- · Replies 1 ·
Graduate A conjecture about Dirichlet series.
- tpm
- · Replies 1 ·
Graduate 'Euler criterion' for cube roots?
- Camila86
- · Replies 1 ·
Undergrad Can any integer be expressed as x^n plus a small remainder?
- ziad1985
- · Replies 4 ·
Undergrad Extracting overall angle from a matrix
- humanchimp
- · Replies 6 ·
Graduate GRE Math Problem #57: Subring of R[x] From Real Numbers
- jammidactyl
- · Replies 4 ·
Graduate S0(3)/SO(2) is isomorphic to the projective plane
- eddo
- · Replies 2 ·
Graduate When is X × Y a Banach space?
- Ant farm
- · Replies 4 ·
High School Is There a Complete List of Prime Numbers Up to 2^34 Available Online?
- Konrad
- · Replies 5 ·
Undergrad Is it true for all n, Natural number?
- Willy_Will
- · Replies 10 ·
Graduate Einstein Theorem: Questions about Why b1co=0modp and boc1=0modp
- catcherintherye
- · Replies 4 ·
Undergrad Solving for b in a system of matrices A₁, A₂, A₃, etc
- debro5
- · Replies 9 ·
Undergrad Divisibility problem cant use module just induction
- Willy_Will
- · Replies 8 ·
Undergrad Can You Use Non-Pivot Rows to Scale a Matrix?
- Metame
- · Replies 1 ·
Graduate How Does the Sign of a Permutation Product Relate to Its Components?
- bomba923
- · Replies 1 ·
High School Equation that returns 1 for odd integers and 0 for even integers
- cshum00
- · Replies 29 ·
Graduate What Determines the Isomorphism of G/X in Group Theory?
- arz2000
- · Replies 4 ·
Graduate Prove Perfect Lie Algebra of R^3 Euclidean Motions Isn't Semisimple
- arz2000
- · Replies 6 ·
Graduate Finding the Real Lie Algebra of SL(n,H) in GL(n,H)
- asm
- · Replies 7 ·
Graduate Some questions on representation theory
- arz2000
- · Replies 1 ·
Graduate Does the group of 3×3 matrices with exponential diagonal have a center?
- arz2000
- · Replies 2 ·
Graduate Proving UT and TU Have Same Eigenvalues
- nuuc
- · Replies 1 ·
Undergrad Linear Algebra in Computer Engineering
- bassplayer142
- · Replies 2 ·
Graduate Dual Spaces of Vector Spaces: Conventions and Dual Bases
- Diophantus
- · Replies 5 ·
Undergrad Are Two Successive Integers Always Coprime?
- smithg86
- · Replies 8 ·
Graduate How do I find an isomorphism between Sn+m and Zn x Zm?
- clkt
- · Replies 4 ·
Graduate Why is R not finitely generated as a module over Q?
- sab47
- · Replies 11 ·
Graduate General solution to diophantine equations
- mr_garlic
- · Replies 3 ·
Graduate Prove Either A or B is Singular Given AB is Singular
- robierob12
- · Replies 11 ·
Graduate Generating Converging Whole Numbers for (2x+3y)/(x+y) = e
- Loren Booda
- · Replies 2 ·
Graduate Are F5[x]/(x^2 + 2) and F5[x]/(x^2 +3) Isomorphic Polynomial Rings?
- catcherintherye
- · Replies 8 ·
Graduate Classification of Groups of Order (p^l)(q^m)(r^n)
- quantumdude
- · Replies 7 ·
Undergrad Is 4^2007 + 2007^4 a Prime Number?
- muna580
- · Replies 4 ·
Graduate Group homomorphisms between cyclic groups
- Gott_ist_tot
- · Replies 2 ·
Graduate Irreducible Components in a Primary Decomposition
- ircdan
- · Replies 4 ·
Graduate Determination of irreducible polynomials over a given field
- catcherintherye
- · Replies 1 ·
Graduate Is the Fundamental Group of a Pointed Space Dependent on the Base Point?
- quasar987
- · Replies 2 ·
Undergrad Solving 3 Equations for w in Matrix Form
- andybham
- · Replies 3 ·
Graduate Why is the closed unit disk simply connected if its fundamental group is Z?
- quasar987
- · Replies 7 ·
Graduate Proof of |HK| = (|H|*|K|)/|H∩K| for subgroups H and K in G
- radou
- · Replies 22 ·
Undergrad Which linear algebra textbook should I use for self-study?
- Yowhatsupt
- · Replies 14 ·
Undergrad Basis of a subspace of a vectorspace
- JamesTheBond
- · Replies 8 ·
Graduate Notation of ideals in ring theory
- erraticimpulse
- · Replies 4 ·
Graduate Linear functional equivalence in vsp and subsp
- JamesTheBond
- · Replies 8 ·
Graduate Understanding Dominance of Rational Maps in Algebraic Geometry
- Diophantus
- · Replies 3 ·
High School Calculating combinations of car production options with limited data
- Blue Vette
- · Replies 4 ·
Graduate Finding birational maps for rational varieties like x² + y² = 1
- Diophantus
- · Replies 4 ·
Graduate Composing permutations in cycle notation
- radou
- · Replies 6 ·
High School Intersection line of two planes
- debwaldy
- · Replies 2 ·
Graduate Series of superimposed regular polygons
- Loren Booda
- · Replies 11 ·