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.
Threads
Graduate What are some key results in algebraic number theory and how can they be proven?
- Diophantus
- · Replies 12 ·
Graduate How to prove trace(A.A*) is positive
- devoured_elysium
- · Replies 4 ·
Undergrad Conflict of interests results in lies?
- seang
- · Replies 2 ·
Graduate Are There Geometrical Methods to Find Integer Points for 2D Symmetryc Form?
- Karlisbad
- · Replies 9 ·
Undergrad Definition of Simultaneous Linear Difference Equations
- muskan
- · Replies 3 ·
Graduate How can I solve the parametric representation problem for x^3+y^3=u^3+v^3?
- gonzo
- · Replies 2 ·
Graduate Polynomials and the Inner Product
- neutrino
- · Replies 14 ·
Graduate How Does SL(2,C) Relate to Its Manifold Structure?
- AlphaNumeric
- · Replies 3 ·
Graduate Cyclotomic polynomials and primitive roots of unity
- xuying1209
- · Replies 4 ·
Help with Final Exam Questions: QUESTION TWO (b) & SIX (a)
- uob_student
- · Replies 9 ·
Graduate Randomness of digits of irrational numbers.
- Fallen Seraph
- · Replies 2 ·
Graduate A little problem involving unitary matrices
- DavidK
- · Replies 6 ·
Graduate Issue regarding the orthogonality of eigenvectors for Hermitian
- inquire4more
- · Replies 20 ·
Graduate Understanding Ring Embeddings and Irreducible Polynomials: Questions Answered
- buzzmath
- · Replies 5 ·
Undergrad Are Normal Subgroups Defined by Equality of Left and Right Cosets?
- raj123
- · Replies 3 ·
Graduate Can Unique Subgroups Be Generalized as Normal Subgroups?
- brownnrl
- · Replies 1 ·
Graduate MOdular Hypergeometric Sieve and Parallel Processing
- Playdo
- · Replies 5 ·
Undergrad How Do I Solve This Linear Algebra Equation?
- Sandra_xx
- · Replies 3 ·
Graduate Are there any non-trivial automorphisms of the field Q(sqrt2)?
- MathematicalPhysicist
- · Replies 8 ·
Undergrad TI89 Simplex Method LP Solver: Phase 1 & 2 Pivoting
- hammerjr
- · Replies 2 ·
Undergrad How to Solve Complex Eigenvectors in Matrix Algebra
- tophman
- · Replies 1 ·
Graduate How Does Lagrange's Theorem Prove a^(|G|+1) = a in Finite Groups?
- Aju
- · Replies 10 ·
Undergrad Is Number Theory a Challenging and Rewarding Course?
- muna580
- · Replies 9 ·
Graduate B.D: Proving C_m^+ in Lucas-Lehmer Test (LLT)
- T.Rex
- · Replies 11 ·
Graduate Newton (iterative) method to solve a diophantine equation
- Karlisbad
- · Replies 5 ·
Undergrad Exploring Irreducible Polynomial and Reducing Techniques for g(x)
- ElDavidas
- · Replies 4 ·
Graduate How does the Linear Spike Method relate phi(x,y) to pi(N)?
- Playdo
- · Replies 4 ·
Graduate Proving Norm Difference in Euclidean Ring Z[{\sqrt 2 \over 2}(1+i)]
- gonzo
- · Replies 9 ·
Graduate Euclidean Ring of Z[\zeta]: Unconventional Technique
- gonzo
- · Replies 2 ·
Undergrad Understanding Linear Transformations and Their Applications in Vector Spaces
- lo2
- · Replies 8 ·
Graduate Understanding FLT: Debunking the Myth of Simple Solutions
- vantheman
- · Replies 28 ·
Graduate Calculating JNF & Basis Vectors: Jordan Normal Form
- pivoxa15
- · Replies 2 ·
Undergrad Vector space for cross products?
- pivoxa15
- · Replies 3 ·
Graduate Possible Non-negative Integer Solutions to 3^x + 5^y = 7^z + 1
- K Sengupta
- · Replies 6 ·
Graduate Where Can I Find Abstract Algebra Problems for Studying the Math GRE?
- jammidactyl
- · Replies 9 ·
Graduate What is Quotient? Understanding Algebraic Structures
- leon1127
- · Replies 3 ·
Undergrad Need help with vectors, angles, etc please
- kayl669
- · Replies 2 ·
Undergrad Converting from 2D coordinate Systems
- quasi426
- · Replies 1 ·
Graduate Can a Differential Equation Describe the Prime Counting Function?
- eljose
- · Replies 5 ·
Graduate Hints that a dynamical system may lie behind the distribution of primes
- Playdo
- · Replies 7 ·
Undergrad Linearly Independent Vectors: Same Plane?
- kingyof2thejring
- · Replies 2 ·
Undergrad A quick question on coefficient of binomial expansion
- AlbertEinstein
- · Replies 7 ·
Graduate What is the Unique Function Possessing Certain Properties on Positive Integers?
- K Sengupta
- · Replies 11 ·
Graduate Show Existence of Basis for Vector Space V with No Elements from Subspace M
- radou
- · Replies 7 ·
Graduate Polynomial Multiplication with NTT
- Milkman
- · Replies 8 ·
Graduate Elements in only 1 left/right coset
- Wiemster
- · Replies 2 ·
Graduate Does an Extension of the Primorial Function Exist?
- quinn
- · Replies 3 ·
Graduate Linear representations in Char 0
- dg0666
- · Replies 1 ·
Undergrad Can This Method Solve the Modified System of Linear Equations?
- MathematicalPhysicist
- · Replies 8 ·
Graduate A real number definition involving Bruijn-Newmann constant
- Karlisbad
- · Replies 6 ·
Graduate Understanding Vector Quotient Spaces in Linear Algebra
- mruncleramos
- · Replies 8 ·
Undergrad Help Solve Lost Soul's S=an^2+bn Equation Problem
- Erectable
- · Replies 3 ·
Graduate Questions on Free Products II: Subgroup of Normal & Amalgamated
- Oxymoron
- · Replies 16 ·
Graduate Retraction Math Help: Does a Group Exist with Trivial Retracts?
- Oxymoron
- · Replies 32 ·
Graduate Solving equation in finite field
- twoflower
- · Replies 3 ·
Undergrad Find all subgroups of the given group
- twoflower
- · Replies 4 ·
Graduate Inverse of 550 in GF(1997): Explained
- krispiekr3am
- · Replies 1 ·
Graduate Proving the Irreducibility of Multinacci Polynomial g(x) for Natural Numbers m
- Diophantus
- · Replies 2 ·
Undergrad Are the following polynomials irreducible over Z2?
- krispiekr3am
- · Replies 2 ·
Graduate Consider Z4 ({0, 1, 2, 3} mod 4) and GF (4) (also known as GF(2^2)).
- krispiekr3am
- · Replies 2 ·
Graduate Now let’s consider a different polynomial g(x) = x^3 + x^2 + 1.
- krispiekr3am
- · Replies 1 ·
Graduate Is There a Constant That Makes Floor[A^(3^x)] Prime for All x?
- Dragonfall
- · Replies 4 ·
Graduate Proving Normal Subgroup N is Central in Group G
- Cincinnatus
- · Replies 1 ·
Undergrad Solve Math Problem: Find Z Given X, Y, & Z Variables
- thekeyboardbum
- · Replies 2 ·
Graduate Question on Ideals (Algebraic Geometry)
- arunma
- · Replies 3 ·
Graduate Linear Independence of Subsets: Necessary and Sufficient Conditions
- radou
- · Replies 2 ·
Undergrad What Does Triangularizing a Matrix Mean in Linear Algebra?
- kolycholy
- · Replies 1 ·
Undergrad Can the Parameters of a polynomial be determined with a set of examples?
- Alkhimey
- · Replies 2 ·
Graduate Is the concept of perpendicularity the same as orthogonality in linear algebra?
- jbusc
- · Replies 8 ·
Graduate Another Base a Factorization Method
- Playdo
- · Replies 1 ·
Graduate Lagrange's Theorem (Order of a group) Abstract Algebra
- anna010101
- · Replies 2 ·
Undergrad Linear Algebra: Proving or Disproving Span Equivalence
- *best&sweetest*
- · Replies 2 ·
Graduate Do Commuting Linear Operators A and B Satisfy the Exponential Property?
- frederick
- · Replies 3 ·
Undergrad Permutation matrices in vector form
- vix_cse
- · Replies 6 ·
Graduate Proving Linear Independence in Vector Spaces with Ordered Sets
- radou
- · Replies 12 ·
Undergrad How to Prove Vectors are Perpendicular Using Dot Products
- finkeroid99
- · Replies 5 ·
Graduate Determining the n-Determinant for an nxn Matrix with a Specific Matrix Element
- Perrry
- · Replies 1 ·
Graduate Proving Homomorphism and Finding Kernel in Abstract Algebra
- raj123
- · Replies 13 ·
Graduate Help with a linear algebra problem
- kant
- · Replies 1 ·
Graduate Formation & Properties of Automorphism Group G_1 \star_A G_2
- Oxymoron
- · Replies 20 ·
Graduate Question about congruences and orders
- Ch1ronTL34
- · Replies 1 ·
Undergrad Best,j3n nyIs B=A^2 skew-symmetric, symmetric or neither?
- j3n
- · Replies 1 ·
Graduate An inequality involving phi() and pi()
- Playdo
- · Replies 17 ·
Graduate Group Multiplication: HH vs H - Is there a Difference?
- pivoxa15
- · Replies 8 ·
High School GA: Understanding the Mysteries of Pi
- ValenceE
- · Replies 13 ·
Graduate Understanding the Double Coset H\backslash G / K
- Oxymoron
- · Replies 13 ·
Graduate Predicting Prime Density in Factorial/Primorial Sequences
- CRGreathouse
- · Replies 4 ·
Graduate Using a different definition of norm
- neutrino
- · Replies 4 ·
Undergrad Random Number Sequences and Probabilities: Are They All Equal?
- ValenceE
- · Replies 3 ·
Graduate Problem of paired sums from two sets of numbers
- ramsey2879
- · Replies 5 ·
Undergrad Understanding Congruences: Residues & Euler's Totient Function
- AlbertEinstein
- · Replies 13 ·
Undergrad How do cube rotations differ from square rotations in geometric transformations?
- pivoxa15
- · Replies 16 ·
Undergrad What distinguishes operators from relations in mathematics?
- Swapnil
- · Replies 7 ·
Graduate Is the Berry Operator the Key to Solving the Zeta Function?
- eljose
- · Replies 2 ·
Graduate Is Aut(C_2p) Cyclic for Prime p Values 5, 7, 11?
- StudentR
- · Replies 1 ·
Graduate What is the group of rotational symmetries of a regular tetrahedron?
- Nusc
- · Replies 1 ·
Graduate Using Reducible Polynomials for Factoring Natural Numbers
- Playdo
- · Replies 3 ·
Graduate Quadratic congruences with prime modulus
- Ch1ronTL34
- · Replies 9 ·
Graduate Can Muddled Equations and Modular Operations Enhance Problem Solving?
- Playdo
- · Replies 1 ·
Undergrad Random Number Generator, Lottery, and duplicats
- ThomasM
- · Replies 2 ·