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 Fields: Characteristic 0 and Beyond
- Fredrik
- · Replies 2 ·
Graduate A,B similar <=> Rank(A) = Rank(B)?
- nonequilibrium
- · Replies 4 ·
Graduate Question on group actions on vector spaces
- mnb96
- · Replies 5 ·
Graduate How do you find the GCD of 12 and 35 in Q[sqrt 3]?
- squelchy451
- · Replies 6 ·
Undergrad Simple Linear Algebra (determinant invertibility)
- slashrulez
- · Replies 6 ·
Undergrad Proving Non Singularity of Square Matrix is Necessary for Invertibility
- johncena
- · Replies 3 ·
Undergrad How Do I Factorize Large Polynomials by Hand?
- miahmad
- · Replies 3 ·
Undergrad Why must z be the free variable and not y in this system?
- wumple
- · Replies 3 ·
Undergrad Incidence matrix vs Adjacent Matrix
- John Creighto
- · Replies 1 ·
Graduate What Distinguishes Rings, Fields, and Spaces in Mathematics?
- Gregg
- · Replies 3 ·
Graduate Pseudorandom integer sequence having at least 15 adjacent differences > 36
- tcma
- · Replies 1 ·
Undergrad Irrational number approximation by a rational number
- n.karthick
- · Replies 6 ·
Graduate Sum or upped bound of geometrico-harmonic series
- aamir.ahmed
- · Replies 1 ·
Graduate Algebraic integers in quadratic fields and unique factorization in Q[sqrt -1]
- squelchy451
- · Replies 3 ·
Undergrad Finding the Pattern of Triangular Set of Numbers
- isthereaspoon
- · Replies 3 ·
Graduate Can any matrix be considered a tensor?
- dnquark
- · Replies 19 ·
Graduate Sum of 1^k + 2^k + ... + (p-1)^k modulo a prime p
- b1029384756
- · Replies 9 ·
Graduate What is an Isomorphism Between Banach Algebras?
- .....
- · Replies 11 ·
Graduate How Can One Define a Unitary Transformation Using an Alternative Relation?
- LAHLH
- · Replies 2 ·
Graduate Background needed to understand number theory research papers.
- owowo
- · Replies 5 ·
Graduate Calculate Rational/Irrational Powers of a Matrix
- Ali Asadullah
- · Replies 4 ·
Graduate How Can You Solve the Nonlinear System X'*X = A?
- sa_christina
- · Replies 2 ·
Graduate What is the value of this infinite continued fraction?
- Playdo
- · Replies 2 ·
Undergrad Orthogonal and symmetric matrices
- mnb96
- · Replies 3 ·
Graduate Polynomial equation in several variables
- GargleBlast42
- · Replies 2 ·
Graduate How does the UFD lemma connect irreducibles in D[x] to irreducibles in D?
- logarithmic
- · Replies 2 ·
Graduate How can I prove the property of ranks for an n x m matrix with n < m?
- dabd
- · Replies 7 ·
Undergrad Differential Equations vs Linear Algebra
- jwxie
- · Replies 6 ·
Graduate Quaternions - Meaning and multiplication
- david.aloha
- · Replies 3 ·
Graduate Solving a Cubic Equation with 2 Variables
- omarxx84
- · Replies 9 ·
Graduate Some questions of field of quotients
- logarithmic
- · Replies 5 ·
High School What is the correct way to multiply matrices?
- i.l
- · Replies 3 ·
Graduate Reducing Normal Subgroup Calcs: Finite Groups Only?
- landor
- · Replies 3 ·
Undergrad Determinant of this symmetric matrix (proof)
- TomMe
- · Replies 8 ·
Graduate Twin Primes: Occur in Pairs, 90k+11/13/17/19 Proven?
- mathman
- · Replies 8 ·
Graduate Is There a Solution to a^3 + b^3 = 22c^3?
- Hyperreality
- · Replies 17 ·
Graduate Proving C(S,F) is a Subspace of F(S,F)
- Riemannliness
- · Replies 3 ·
Graduate Triangular numbers facturable into n*(n+k)
- ramsey2879
- · Replies 9 ·
Graduate Determinant of this special matrix
- ian2012
- · Replies 6 ·
High School Solving 3 Unknown Variables in Physics II
- Mirth
- · Replies 2 ·
Graduate How Can Experienced Mathematicians Tackle Challenging Number Theory Problems?
- Fisicks
- · Replies 6 ·
Undergrad Can homogeneous systems with identical solutions be non-equivalent?
- coderdave
- · Replies 13 ·
Undergrad Exponential simultaneous equation with powers
- acu04348
- · Replies 2 ·
Graduate Fundemental relation between group symmetries and periodicity?
- DJsTeLF
- · Replies 1 ·
Graduate Why does (p - 1) / g(p) always yield a unit fraction for primes?
- caveman1917
- · Replies 1 ·
Graduate How to Prove |G:H| = |G:K||K:H| for Quotient Groups?
- Pjennings
- · Replies 4 ·
Graduate Formulating Linear Constraints on a Matrix
- JeSuisConf
- · Replies 3 ·
Graduate Can an inner product space be both normal and self-adjoint?
- hitmeoff
- · Replies 2 ·
Graduate Which Prime Divisors of 4n^2+4n-1 Are Congruent Modulo 8 to \pm 1?
- TTob
- · Replies 5 ·
Graduate Fermat's Last Theorem, proof by Andrew Wiles
- rayveldkamp
- · Replies 20 ·
Undergrad Definition and example of factor groups
- math34
- · Replies 1 ·
Graduate Functions homo/isomorphic to change in scale
- LogicalTime
- · Replies 2 ·
Undergrad Finding matrix X where X * v1 = v2 from M1 * v = v1
- edward5elric
- · Replies 5 ·
Graduate What Is the Largest Cyclic Subgroup of S_n?
- JoanBraidy
- · Replies 5 ·
Graduate Simple Proof of Riemann's Hypothesis
- rlrandallx
- · Replies 13 ·
Graduate If [x,y]=0 whenever [x,z]=0, prove y=ξz for linear functionals
- Matthollyw00d
- · Replies 3 ·
Graduate Showing every free module is Projective
- Phillips101
- · Replies 4 ·
Graduate Transforming Triangle in 3 Space with z = 1-x-y
- albert281
- · Replies 1 ·
Graduate Problems regarding group presentations and submodules
- Jösus
- · Replies 1 ·
Graduate Proving that m^270300 = 1 (mod 3121)
- TwilightTulip
- · Replies 9 ·
Undergrad How Can 1+1 Equal 0 in Certain Mathematical Contexts?
- drc4rd1n
- · Replies 5 ·
Graduate The Wikipedia article Divergence, in the section Application to
- Rasalhague
- · Replies 19 ·
Graduate Question on cancellation property
- mnb96
- · Replies 7 ·
Graduate What does it mean for an operation to be compatible with an equivalence relation?
- mnb96
- · Replies 4 ·
Graduate Finitely generated modules over a PID, and applications on abelian groups
- Jösus
- · Replies 1 ·
Undergrad Gram Schmidt Method (calculating orthogonal vector set)
- mess1n
- · Replies 8 ·
Graduate Solving the "Black Box" Puzzle with Math Lovers
- SBaldrick
- · Replies 8 ·
Undergrad Definition of the Determinant of a Matrix
- zeta12ti
- · Replies 9 ·
Graduate Solution: ▽ · F = −3xy / (x2 + y2)^5/2
- scholesmu
- · Replies 2 ·
Graduate X^3=x => R is a commutative ring
- StatusX
- · Replies 7 ·
Graduate Is the number 0.1010010001... algebraic or transcendental?
- Dickfore
- · Replies 13 ·
Graduate Norm Satisfying the Parallelogram Law
- jbunniii
- · Replies 1 ·
Graduate Restriction of SO(N) to 2 dim subspaces
- jostpuur
- · Replies 14 ·
Graduate Are there any books with solved exercises for studying Lie Algebras on your own?
- zplot
- · Replies 2 ·
Graduate Why is the Galois group of a finite extension of a finite field solvable?
- emptyboat
- · Replies 2 ·
Graduate Are Principal Ideals of Associates Equal?
- Bleys
- · Replies 4 ·
Graduate Rotation of coordinate system mistake or paradox?
- zokos
- · Replies 5 ·
Graduate Subgroup of given order of an Abelian group
- siddhuiitb
- · Replies 3 ·
Undergrad Finding the Smallest Possible Value of N in a Simple Number Theory Problem
- Fragment
- · Replies 4 ·
Graduate Decomposing Motions: Solving the T:R(4) to R(4) Question
- gezmisoguz
- · Replies 6 ·
Graduate Approximation of functions by Gaussians
- Orbb
- · Replies 1 ·
Undergrad Why Are Coefficients of x Plotted on the y-Axis in Linear Combinations?
- mirza21
- · Replies 3 ·
Graduate Conjecture: Solving 32n^2 + 3n = 0 mod P for odd P
- ramsey2879
- · Replies 8 ·
Graduate Model theory, category theory and universal algebra
- Fredrik
- · Replies 4 ·
Graduate Deriving angular velocity vector algebra?
- SpartanG345
- · Replies 3 ·
Undergrad Distinct Eigenvalues: Can Zero be an Eigenvalue?
- Juggler123
- · Replies 9 ·
Graduate Understanding in abstract algebra
- mordechai9
- · Replies 6 ·
Graduate Can You Solve This Complex Integer Equation System?
- elimqiu
- · Replies 2 ·
Graduate Criterion for Irreducibility of a polynomial in several variables?
- GargleBlast42
- · Replies 5 ·
Graduate Where Can I Find a Purely Algebraic Proof of the Fundamental Theorem of Algebra?
- lavinia
- · Replies 15 ·
Graduate Equivalent bases for Vector Spaces over Complexes.
- WWGD
- · Replies 1 ·
Graduate Show that for a symmetric or normal matrix
- MatthewD
- · Replies 4 ·
Graduate Cross product invariant under SO(3)-matrices?
- Marin
- · Replies 4 ·
Graduate Isomorphism as an Equivalence Relation on Sets: A Proof
- yaganon
- · Replies 2 ·
Undergrad If A and B are similar matrices and A is idempotent, is B also idempotent?
- heidle12
- · Replies 3 ·
Graduate Multi-objective recursive least squares
- Superfish
- · Replies 1 ·
Graduate Difference between onto and into homomorphisms
- swartzism
- · Replies 28 ·
Graduate Is M_n(K) isomorphic to K \otimes_F M_n(F) as F-algebras?
- math_grl
- · Replies 7 ·
Undergrad Linear transformations with functions
- Xyius
- · Replies 2 ·
Graduate Galois Extension of Q isomorphic to Z/3Z
- AlbertEinstein
- · Replies 5 ·