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 Can a subgroup be mapped onto its parent group as a homomorphism?
- majutsu
- · Replies 3 ·
Graduate Some clarification on upper triangular matrices please.
- gravenewworld
- · Replies 2 ·
Undergrad Finding Commuting Permutations in S_6 for alpha=(1 2 4 5)
- SqrachMasda
- · Replies 11 ·
Graduate Hilbert space and infinite norm vectors
- seratend
- · Replies 4 ·
Undergrad How Do You Solve 4x=7 (mod 45) Using Remodularization Concepts?
- oliver$
- · Replies 3 ·
Graduate Finding Elements of a Quotient Ring
- Soccer4822
- · Replies 2 ·
Graduate Can Someone explain Dedikind cuts?
- majutsu
- · Replies 11 ·
Graduate Solving Vector Spaces Problems with Calculus
- moham_87
- · Replies 3 ·
Graduate A Short Course on Quantum Matrices: Understanding Notation Basics
- ^_^
- · Replies 2 ·
High School Why Does (1/3)*3 = 1 and Not .9 Repeating?
- ldzcableguy
- · Replies 53 ·
Undergrad Understanding the Pseudoinverse: What is it and How Does it Work?
- Cyrus
- · Replies 4 ·
Undergrad How Many Left Cosets of <a^4> in <a> Are There?
- semidevil
- · Replies 4 ·
Undergrad How do I show that A is not diagonalizable?
- quasar987
- · Replies 3 ·
Undergrad Is my linear algebra book's definition of Euclidean space correct?
- quasar987
- · Replies 6 ·
High School How to Prove Zero Product Property for Rational Numbers?
- MathematicalMatt
- · Replies 3 ·
Graduate Orthogonal projection, orthonormal basis, coordinate vector of the polynomial?
- belleamie
- · Replies 2 ·
Graduate LUB and Nested Interval Equivalancy
- dogma
- · Replies 5 ·
Graduate How Rademacher Derived His Formula for Partitioning Integers
- Janitor
- · Replies 4 ·
Undergrad Modulo arithmetic (?) question
- devious_
- · Replies 10 ·
Graduate Surjective and bijective mapping
- Bernoulli
- · Replies 5 ·
Undergrad Proof of ab=0 <--> (a=0 or b=0) without Division
- Bartholomew
- · Replies 17 ·
High School Efficient Methods for 3x3 Matrix Multiplication
- CollectiveRocker
- · Replies 2 ·
Is There a Numerical Connection to the End of the 'Curse of the Bambino'?
- pmb_phy
- · Replies 4 ·
Undergrad Finding the eigenvalue for a given graph
- Falnom
- · Replies 2 ·
Graduate Vectors Property: Necessary & Sufficient Conditions
- tc
- · Replies 2 ·
Graduate How Can You Prove the Axioms of Norms and Use Them to Test Convergence?
- juniorgirl06
- · Replies 5 ·
Graduate Prove A' is the Generalized Inverse of A When A'A is Idempotent
- siucw
- · Replies 11 ·
Undergrad Permutations and Transpositions problem help
- jeannie165
- · Replies 11 ·
Graduate Verifying F_5[x]/(x^4+1) is a Field
- T-O7
- · Replies 12 ·
Graduate What is the concept of injection and surjection?
- SqrachMasda
- · Replies 5 ·
Graduate Total potential energy in matrix
- omgitsroy326
- · Replies 2 ·
Undergrad Find Linear Combinations for {1, x, x^2, x^3}
- FrostScYthe
- · Replies 2 ·
Undergrad Cyclic Group U(14): Generating Elements with <3> to Show Cyclic Property
- semidevil
- · Replies 3 ·
Graduate Is x^4 - 14x^2 + 9 = 0 irreducible in Q?
- Machinus
- · Replies 2 ·
Undergrad What is the connection between Diophantine equations and number theory?
- drdolittle
- · Replies 2 ·
Undergrad Help whit a problem. (I have no idea)
- mprm86
- · Replies 3 ·
Graduate What are the key properties of functors and how are they used in mathematics?
- jcsd
- · Replies 4 ·
Graduate Lie group (additional condition)
- namlessom
- · Replies 2 ·
Graduate I need a proof for this binomial property.
- T.Rex
- · Replies 6 ·
Graduate Why are groups, rings, and fields defined in the way that they are?
- gravenewworld
- · Replies 3 ·
Graduate Is H Always a Normal Subgroup in a Group of Even Order?
- cmurphy
- · Replies 2 ·
Undergrad How Can I Find All Homomorphisms from Z to Z mod 12?
- cmurphy
- · Replies 2 ·
Undergrad Theorema of Bezout: Finding f & e with Examples
- marlon
- · Replies 5 ·
Graduate Can De Branges' Theorem Make Factoring Prime Numbers Easier for RSA Encryption?
- ramollari
- · Replies 6 ·
High School Multiplication (powers) of fractions
- bimochan
- · Replies 19 ·
Graduate Does Every Linear Operator Have a Nontrivial Invariant Subspace?
- gravenewworld
- · Replies 6 ·
Graduate Proving F is Finite: A Perspective on Ring Homomorphisms
- dogma
- · Replies 3 ·
Graduate A bit of trouble with Galois groups
- Euclid
- · Replies 2 ·
Undergrad Finding Cosets with H = {0, 3, 6} under Z(9): Understanding the Starting Values
- semidevil
- · Replies 2 ·
Undergrad Solving a System of Equations with Matrix
- LostInSpace
- · Replies 2 ·
Undergrad Optimizing Integer Comparison without If Statements
- gerald
- · Replies 5 ·
Undergrad Linear Algebra HELP: Closest Vector to v in R^4
- rayveldkamp
- · Replies 2 ·
Graduate Is <Z,+> with <Z,+> a valid isomorphism? Why or why not?
- SqrachMasda
- · Replies 11 ·
Graduate Solve Matrix Hyperplane: Find A & B | Please Help!
- Mathguy
- · Replies 3 ·
Graduate Prove Beta is an isomorphism of groups
- SqrachMasda
- · Replies 3 ·
Undergrad Nullspace and Column Space Question
- Bouchart
- · Replies 2 ·
Graduate What is the group of automorphisms of S_3?
- T-O7
- · Replies 2 ·
Graduate Eigenvalues Problem: Show Inverse of Diagonalizable Matrix A
- tc
- · Replies 4 ·
Graduate How Does Euler's Formula Lead to e^(iπ) = -1?
- kreil
- · Replies 3 ·
Undergrad Can a non-zero matrix multiply itself to become zero matrix?
- kakarukeys
- · Replies 6 ·
Graduate Number of Elements of Order 5 in S7 Permutation Group
- astronut24
- · Replies 9 ·
Graduate How Do You Find Automorphism in a Group G?
- semidevil
- · Replies 10 ·
Graduate Existence of a Polynomial Divisor for Roots in a Field Extension
- Jin314159
- · Replies 2 ·
Graduate Proving Finite Solutions of phi(x)=n for Fixed Integer n
- b0mb0nika
- · Replies 2 ·
Undergrad Write the system in equation form?
- mathrocks
- · Replies 2 ·
Graduate What Is the Relationship Between m, n, and x in the 3x+1 Problem?
- FromRussiaWithLove
- · Replies 2 ·
Undergrad Finding the Basis for Repeated Eigenvalues: Explained
- mathrocks
- · Replies 2 ·
Undergrad Is There a Solution to the Equation A=x^b mod p?
- Chu
- · Replies 3 ·
Undergrad Prove Pythagorean Triples: 3k, 4k, 5k | Answer Yay/Nay
- 1+1=1
- · Replies 7 ·
Undergrad What is the relationship between GCD, LCM, and relatively prime numbers?
- 1+1=1
- · Replies 3 ·
Graduate RSA Encryption: Finding Primes to Make Decryption Difficult
- Zurtex
- · Replies 3 ·
High School What Is the Alphabetical Rank of Ought and Tough?
- gauravkukreja
- · Replies 2 ·
Graduate Why Does [d/[n]^2] * n Find the Closest Point to the Origin on a Plane?
- bezgin
- · Replies 2 ·
Undergrad Geometric Descr. of 1-1 Function from Square to Circle
- theFuture
- · Replies 2 ·
Graduate Column Spaces and Rank of Matrix Multiplication: Insights and Proof
- loli12
- · Replies 2 ·
High School Is a Progression a Series or a Sequence?
- Cheman
- · Replies 3 ·
Graduate Group Actions on Sets: Understanding the Permutation Group S_3
- T-O7
- · Replies 3 ·
Graduate Are Non-Prime Numbers Affected by Reimann's Critical Line?
- Canute
- · Replies 11 ·
Undergrad Solving Equation ABXC = D with Matrix Inverses
- twoflower
- · Replies 4 ·
Undergrad How Can a^r = 1 mod N Be Expressed Differently If a and N Are Coprime?
- Baggio
- · Replies 2 ·
Undergrad Have You Discovered This Recursive Formula for Sums of Powers?
- StatusX
- · Replies 3 ·
Undergrad Why is Perpendicularity in 2D and 3D Important?
- bezgin
- · Replies 5 ·
Graduate How to Deduce the Sum of Squares of Divisors from Canonical Representation?
- 1+1=1
- · Replies 2 ·
Undergrad Solving AxB = (B-1A-1)-1: Inverse Matrix Proof
- Cannonstar
- · Replies 2 ·
Undergrad Number of possible electoral college ties
- Loren Booda
- · Replies 11 ·
Undergrad Coordinate transformation matrix?
- Will_C
- · Replies 3 ·
Graduate Solve Laplace Expansion Determinant -2a,-2b,-2c,2p+x,2q+y,2r+z,3x,3y,3z
- matrix_204
- · Replies 2 ·
Graduate How Does Pi Squared Relate to Integer Pythagorean Triples?
- arivero
- · Replies 2 ·
Graduate A primality test for Fermat numbers faster than Pépin's test ?
- T.Rex
- · Replies 2 ·
Undergrad Is the Matrix A with Entries aij=min(i,j) Always Invertible?
- RobandJoanna
- · Replies 2 ·
Undergrad Vector Operations in Polar Coordinates?
- Poweranimals
- · Replies 2 ·
Undergrad Division theoryand Prime Number theory
- Moses
- · Replies 3 ·
Graduate Generator redefined more rigorously
- synergy
- · Replies 14 ·
Undergrad Finding all solutions of Ax = y
- finalfreak
- · Replies 2 ·
Graduate How Can Gram-Schmidt Prove dim(w)=dim(V)-1?
- theFuture
- · Replies 2 ·
Graduate How can we show that x^m is in a normal subgroup N of G if |G/N| = m?
- afirican
- · Replies 2 ·
High School Prime Factorization of 49 + 39 - MathFest 2004
- devious_
- · Replies 2 ·
Undergrad Proving Triangle Midpoint Sum Equals Side Length Sum
- vg19
- · Replies 3 ·
Undergrad An Algorithm to find a Prime Decompisition
- Chu
- · Replies 2 ·
Graduate What Does This Subspace Expression Mean?
- jbmap
- · Replies 10 ·