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 Fibonacci-like series for infinite coprime solutions to 5a² + 5ab + b² = 11⁸
- ramsey2879
- · Replies 25 ·
Undergrad Solving Triples with xy=a(x+y) and b = xy+xz+yz
- Yann
- · Replies 1 ·
Undergrad Algorithm for solving system of nonlinear equations
- mooshasta
- · Replies 1 ·
David C. Lay's textbook, need info
- karakoos23
- · Replies 4 ·
Graduate Coding in Quaternions and Matrices
- leon1127
- · Replies 1 ·
Graduate Sequence of circumscribed Cartesian coordinates
- Loren Booda
- · Replies 3 ·
Graduate Proof of existence of a Jordan form?
- tim_lou
- · Replies 1 ·
Graduate How to Derive the Exact Expression for Dirichlet Series g(s)?
- mitchell2007
- · Replies 5 ·
Graduate What is N-Reciprocity and its significance in number theory?
- mitchell2007
- · Replies 1 ·
Graduate How was Fermat's Last Theorem Proved?
- Victor Sorokine
- · Replies 15 ·
Undergrad Favourite field of mathematics
- regularngon
- · Replies 34 ·
Graduate Do all polynomials of degree 1, 2 and 4 have roots in Z_2[x]/(x^4+x+1)?
- whodoo
- · Replies 3 ·
Graduate Differences between an axial vector, a pseudo vector and a bivector?
- Swapnil
- · Replies 3 ·
Graduate What Are Colimits in Topological Spaces?
- galoiauss
- · Replies 14 ·
Graduate Group of translations by a fixed distance
- Mentz114
- · Replies 2 ·
Graduate Proving o(G) Divisible by p in Abelian Groups
- Singularity
- · Replies 4 ·
Graduate Extending maps defined on dense sets
- StatusX
- · Replies 2 ·
Undergrad Standard representation of a vector space
- quasar_4
- · Replies 1 ·
Undergrad Algabreic Manipulation of Sigma Notation
- r16
- · Replies 6 ·
Graduate Factoring operator and fundamental theorem of algebra
- tim_lou
- · Replies 4 ·
Graduate Fundamental groups and homotopy type
- quasar987
- · Replies 2 ·
Graduate Is A = I - X(X'X)⁻¹X' idempotent?
- BigDave48
- · Replies 4 ·
Graduate Consider the following group in presentation form
- quasar987
- · Replies 2 ·
Graduate Thank you!Is my understanding of T-invariant subspaces correct?
- quasar_4
- · Replies 3 ·
Undergrad Find n such that x³ + (x+2)ⁿ + (2-x)ⁿ = 0
- RauLiTo
- · Replies 1 ·
Graduate Understanding Fibrations and Cofibrations in Model Categories
- sparkster
- · Replies 12 ·
Graduate Is a Monoid the Same as a Semi-group in Topology?
- quasar987
- · Replies 4 ·
Undergrad Linear independence and dependence
- yoyo
- · Replies 3 ·
Undergrad Understanding Span, Basis, and Dimension to Linear Algebra Concepts
- jlucas134
- · Replies 3 ·
Graduate Help needed with abstract algebra problems
- racland
- · Replies 1 ·
Graduate Show that c and d exist such that ac=b and da=b
- patelnjigar
- · Replies 7 ·
Graduate Measuring Gradient Strength in Binary String Mixtures
- acho
- · Replies 4 ·
Graduate Proof Even Order Groups Have Element of Order 2
- clkt
- · Replies 5 ·
Graduate What Defines a Normal Subgroup in Group Theory?
- quasar987
- · Replies 5 ·
Graduate How do Hypercomplex Numbers and Quaternions Work in Supersymmetry?
- dimsun
- · Replies 9 ·
Graduate Constructing the Galois Group of f
- Ant farm
- · Replies 4 ·
Graduate Dr Euler and characteristic equations
- Bob3141592
- · Replies 1 ·
Undergrad How Can I Find Solutions to Diophantine Equations?
- murshid_islam
- · Replies 3 ·
Graduate What Are Alternative Infinite Sets of Coprimes Generated by Simple Functions?
- kureta
- · Replies 11 ·
Graduate Most rapidly convergent reciprocal prime series equal to 1
- Loren Booda
- · Replies 8 ·
Graduate Two questions on linear transformations.
- MathematicalPhysicist
- · Replies 5 ·
Undergrad How do I decide if a point is within the triangle
- Asuralm
- · Replies 1 ·
Graduate Can a rank-10 matrix be written as sum of rank-1 matrices?
- MathematicalPhysicist
- · Replies 2 ·
Graduate A vector space and linear independent set.
- MathematicalPhysicist
- · Replies 11 ·
Graduate How to Prove This Fibonacci Identity Involving Squares and Products?
- ramsey2879
- · Replies 2 ·
Undergrad Could a set of n verctors in Rm span all of Rm when n<m?
- yooyo
- · Replies 5 ·
Undergrad Proving Linearity of L:R(4)→R(4)
- jlucas134
- · Replies 8 ·
High School A purely terminological question
- Ruslan_Sharipov
- · Replies 14 ·
Graduate Nilpotent matrix invertibility and the equation AB-BA=I
- kumarrukhaiyar
- · Replies 2 ·
Graduate Does one zero equal its algebraic conjugate?
- Gott_ist_tot
- · Replies 2 ·
Undergrad A different approach to prime numbers
- kureta
- · Replies 3 ·
Graduate Inverses of Units: Are All Conjugates Always in the Field?
- gonzo
- · Replies 1 ·
Graduate How Do Groups Relate to Symmetry in Mathematics?
- Cincinnatus
- · Replies 6 ·
Undergrad Matrix Variables: Solving Mx = b with 2-D Vectors
- EvLer
- · Replies 2 ·
Graduate Understanding Vector Spaces in Linear Algebra
- Parthalan
- · Replies 2 ·
Graduate Question related to Pell's Equation
- gonzo
- · Replies 7 ·
Graduate Proving Isomorphism of Complex Number Conjugate: General Algebraic Systems
- complexPHILOSOPHY
- · Replies 3 ·
Undergrad Finding the Limit of a Fibonacci Series
- tehno
- · Replies 9 ·
Graduate Why the prime/irreducible distinction?
- StatusX
- · Replies 12 ·
Undergrad Spanning sets, and linear independence of them
- quasar_4
- · Replies 5 ·
Undergrad Finding pairs (m, n) where (n³ + 27)/(mn - 9) is an integer
- K Sengupta
- · Replies 1 ·
Undergrad Automorphisms and some maps that are bijective
- Gott_ist_tot
- · Replies 2 ·
Graduate What are the components of an isometry in Euclidean space?
- sat
- · Replies 2 ·
Undergrad What Does 'Canonical' Mean in Mathematics?
- precondition
- · Replies 9 ·
Graduate Is space just another name for a set?
- Swapnil
- · Replies 3 ·
Graduate How can I prove that W contains all elementary matrices?
- rudo
- · Replies 8 ·
Undergrad Prove that nm divides k when gcd(m,n)=1 and both m and n divide k
- Diophantus
- · Replies 3 ·
Undergrad Understanding Vector Spaces and Subspaces
- aeroboyo
- · Replies 16 ·
Graduate Approximate evaluation of this series (exponential sum)
- Kevin_spencer2
- · Replies 7 ·
Graduate Proving B is Involutory if A is Idempotent
- radou
- · Replies 2 ·
Undergrad Simplifying Cardano's solution to x³ + 5x/3 - 200/27 = 0
- murshid_islam
- · Replies 11 ·
Graduate Does Aut(F) form a field or ring under pointwise operations?
- Edwin
- · Replies 8 ·
Undergrad Forward difference Newtons formula
- muskan
- · Replies 1 ·
Graduate Nonlinear Characters and Finite Groups: A Case Study
- Ant farm
- · Replies 1 ·
Graduate Proof of Roots of Unity: Solving a Missing Step
- gonzo
- · Replies 2 ·
Graduate Characters of Normal Subgroup of Index 2
- Ant farm
- · Replies 3 ·
Graduate Characteristic Polynomial for A with a=-1
- keddelove
- · Replies 3 ·
Graduate Inner product of x^p and x^q with weight x^2
- keddelove
- · Replies 3 ·
Graduate Is Fermat's Last Theorem Still Unsolvable in Base n?
- Victor Sorokine
- · Replies 1 ·
Graduate Wythoff' array and Wechsler's Sequence
- ramsey2879
- · Replies 2 ·
High School Why is a sphere considered 2-dimensional if we need 3 dimensions to draw it?
- Swapnil
- · Replies 17 ·
Graduate How Can a New Basis Change the Matrix Representation of a Linear Transformation?
- P3X-018
- · Replies 1 ·
Graduate Is Hom(Lambda^k(V),Lambda^(k+1)(V)) and element of End(Lambda(V))?
- precondition
- · Replies 7 ·
Graduate Showing that αg₁ is in a subgroup of a free abelian group
- gonzo
- · Replies 4 ·
Graduate Stationarity Theory: Math Overview
- navneet1990
- · Replies 1 ·
Graduate What is a representation of a group?
- robousy
- · Replies 25 ·
Undergrad Using Cramer's rule to solve linear equations with complex coefficients?
- Noone1982
- · Replies 3 ·
Graduate Vector spaces over fields other than R or C?
- Nancarrow
- · Replies 4 ·
Graduate Difference between algebra and module?
- precondition
- · Replies 6 ·
Undergrad Solving simultaneous trigonometric equations
- physicophile
- · Replies 6 ·
Undergrad What is the connection between complex numbers and vectors in R2?
- Ratzinger
- · Replies 6 ·
Graduate Are quaternions simultaneously an algebra, normed vector space, and field?
- precondition
- · Replies 2 ·
Graduate Proving the Equality of Rank for Finitely Generated Ideals in Number Fields
- gonzo
- · Replies 21 ·
Undergrad One more elementary question, on square roots
- xalvyn
- · Replies 3 ·
Graduate Clifford algebra isomorphic to tensor algebra or exterior algebra?
- precondition
- · Replies 2 ·
Graduate Lucas-Lehmer Test With Polynomials
- Milkman
- · Replies 2 ·
Graduate What is a Graded Algebra with Z_2 Grading?
- precondition
- · Replies 5 ·
High School Is There a Square of a Rational Number Between Any Two Positive Rationals?
- xalvyn
- · Replies 5 ·
Graduate Writing determinant expansion as a summation
- lo2
- · Replies 10 ·
Graduate How can primorials be used to generate a sequence of prime numbers?
- Playdo
- · Replies 9 ·