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
Undergrad Conjecture on primes (not mine=)
- zetafunction
- · Replies 11 ·
Undergrad Calculating Coordinates on a Sphere Using Trigonometry
- frogtag
- · Replies 2 ·
High School Point on Vector - Learn Maths Basics
- frogtag
- · Replies 10 ·
Graduate Collinear vectors over finite fields
- daniel_i_l
- · Replies 8 ·
Undergrad Is \sqrt{2}+\sqrt{5} an Algebraic Number?
- TheOogy
- · Replies 14 ·
Undergrad Are Vectors Always Positive in a 1-Dimensional System?
- dE_logics
- · Replies 42 ·
High School Representing vector by a number.
- dE_logics
- · Replies 16 ·
Graduate Is There a Consistent Way to Divide by Zero in Extended Real Number Systems?
- Phrak
- · Replies 6 ·
Graduate Span(S1 ∩ S2) ⊆ span(S1) ∩ span(S2)
- Luisito89
- · Replies 1 ·
Undergrad When are linear transformations not invariant?
- evilpostingmong
- · Replies 2 ·
Undergrad Can You Help with These Integer Algebra Homework Questions?
- Matthollyw00d
- · Replies 7 ·
Graduate Groups and Graphs: Proving Transitive Action on Vertices
- Mess10
- · Replies 1 ·
Undergrad Linear Dependency Check: {e^x, e^{2x}}
- evagelos
- · Replies 29 ·
Graduate Inner Product of 0 vector, & Complex numbers
- DeepSeeded
- · Replies 3 ·
Graduate Conjecture for prime pairs of difference two
- Loren Booda
- · Replies 6 ·
High School Unit Vector Confusion: Understanding Direction & Scalar Product Formula
- Rudders
- · Replies 5 ·
Graduate Characteristic Polynomials/Eigenvalues
- jeff1evesque
- · Replies 6 ·
Graduate Where Can I Find Generators of R4?
- kaksmet
- · Replies 3 ·
Graduate Can a Polynomial Equation Generate All Primes? A Proof for Euler's Polynomial
- khotsofalang
- · Replies 14 ·
Graduate Expansion for the prime counting function
- zetafunction
- · Replies 5 ·
Graduate For a monoid, if uv = 1, do we know vu = 1?
- AxiomOfChoice
- · Replies 2 ·
Graduate Remainder of the product of the relatively prime numbers
- whodsow
- · Replies 3 ·
Graduate Discrete hellmann-Feynman theorem ?
- juliette sekx
- · Replies 5 ·
High School Will a Random Number Generator Eventually Repeat Its Numbers?
- kuahji
- · Replies 126 ·
Graduate If x is a cycle of length n, x^n is the identity.
- AxiomOfChoice
- · Replies 5 ·
Graduate A conjecture about sums of uniquely valued primes
- Loren Booda
- · Replies 2 ·
Graduate Debunking the False Proof of x^TAx=0 and A Being Antisymmetric Matrix
- lukaszh
- · Replies 3 ·
Graduate Explaining How Ring of Polynomials Not Having Inverses Impacts Matrix Entries
- jeff1evesque
- · Replies 5 ·
Graduate Possible convergence of prime series
- Loren Booda
- · Replies 8 ·
Graduate Average minimum tries for prime factorization
- Loren Booda
- · Replies 6 ·
Graduate Number of prime factors
- soandos
- · Replies 7 ·
Graduate Prove det(A+I)=0 when Matrix A is Nilpotent
- lukaszh
- · Replies 7 ·
Undergrad Can Ax = λx + b Be Solved in Euclidean Spaces?
- ahmethungari
- · Replies 2 ·
Undergrad Why do we use the term 'axioms' for vector spaces instead of 'definitions'?
- Dragonfall
- · Replies 16 ·
Undergrad Matrices and linear transformations
- kashiark
- · Replies 6 ·
Graduate Null subspace of a single vector
- vix_cse
- · Replies 5 ·
High School Does a number n exist where 2^n mod 3 = 0?
- Crisps
- · Replies 13 ·
Graduate Eigenvalues and Eigenvectors of Non-Singular Matrices: A Proof and Explanation
- BiBByLin
- · Replies 8 ·
Undergrad Solving x5 in Terms of x Using Magma
- chhitiz
- · Replies 6 ·
Undergrad Calculating Dim(ran(T) & Dim(Ker(T)
- squenshl
- · Replies 2 ·
Undergrad H Math Blog: Understanding Eigenvalues and Characteristic Polynomials
- jeff1evesque
- · Replies 2 ·
Graduate Gradient of A*B: Adding and Subtracting Terms
- xaos
- · Replies 1 ·
Undergrad How Do You Determine if a Linear Transformation is Injective?
- mbud
- · Replies 3 ·
Graduate Proving Associativity of Direct Product of Two Groups
- chaotixmonjuish
- · Replies 6 ·
Graduate About the idempotent R-homomorphism
- sanctifier
- · Replies 2 ·
Graduate Torsion Module M with ann(M)={0} and Integral Domain R | R-Module Notations
- sanctifier
- · Replies 2 ·
Undergrad What Is a Matrix Signature and How Is It Determined?
- lukaszh
- · Replies 2 ·
Graduate The galois group of x^4 + 1 over Q
- Daveyboy
- · Replies 1 ·
Undergrad Geometric representation of composite numbers
- SW VandeCarr
- · Replies 17 ·
Undergrad How to know if the given vector is less or greater than the other vector?
- sarah22
- · Replies 2 ·
High School Find the equation in the form of ax+by+cz=d
- XBOX999
- · Replies 2 ·
Graduate Proof of Congruence Transformation
- azizz
- · Replies 3 ·
Graduate Diagonalization 2: Explaining Theorem 2.5
- jeff1evesque
- · Replies 2 ·
Graduate Eigenvectors of first-order differential equation
- jeff1evesque
- · Replies 2 ·
Graduate Understanding Abstract Algebra: A Geometric Approach
- Bill Foster
- · Replies 1 ·
Graduate Galous Group Modules Self Study: Q&A
- tohauz
- · Replies 5 ·
Graduate Plot graph of points with known inter distances
- noplacebos
- · Replies 1 ·
Undergrad Finding the equation of a plane in 3-space
- HATE-VECTORS
- · Replies 11 ·
Undergrad How do you solve differential equations using matrices?
- gruffins
- · Replies 4 ·
Graduate Proof and Justification for Diagonalization-Ordered Basis Theorem
- jeff1evesque
- · Replies 2 ·
Graduate A linear operator T on a finite-dimensional vector space
- jeff1evesque
- · Replies 3 ·
Undergrad Determine if linearly independent?
- Tweet
- · Replies 5 ·
Graduate Where Can I Find Information on the Zeta Function over Primes?
- zetafunction
- · Replies 3 ·
Undergrad How Are Euclidean Algorithm and Hensel's Lemma Applied to Congruences?
- AHW
- · Replies 4 ·
Undergrad How Are Eigenvalues Used in Real Life?
- kfmfe04
- · Replies 4 ·
Graduate The subtle difference between matrices and linear operators
- 1230wc
- · Replies 1 ·
Graduate Density of primes between square numbers
- Loren Booda
- · Replies 5 ·
Undergrad What are the key definitions in Linear Algebra?
- DanielT29
- · Replies 17 ·
Undergrad How were these line fitting equations derived?
- samh
- · Replies 5 ·
Graduate Is This Formula for Generating Primes New?
- Loren Booda
- · Replies 3 ·
Undergrad Does this kind of matrix product exist?
- lets_resonate
- · Replies 5 ·
Graduate System of nonlinear algebraic equations
- Pere Callahan
- · Replies 2 ·
Undergrad Can Vector v Be Expressed as a Linear Combination of v1, v2, v3, and v4?
- krocks
- · Replies 12 ·
Graduate Proof on Order of Elements in a Group
- jeffreydk
- · Replies 12 ·
Graduate Numerically solving the null vector
- wdlang
- · Replies 3 ·
Graduate Does Randomness in Function f(n) Impact the Riemann Hypothesis?
- zetafunction
- · Replies 3 ·
Undergrad Factorizing Expressions: 216x2y2+150x2+6y2+72xy2+360x2y+48xy+40x+8y+7
- chhitiz
- · Replies 6 ·
Undergrad How can we fairly distribute points in a peer evaluation with 6 classmates?
- egcasco
- · Replies 4 ·
Graduate Simple category theory isomorphism
- farleyknight
- · Replies 3 ·
Undergrad Poisson distribution and binomial distribution questions
- latkan
- · Replies 1 ·
Graduate Rank of a Matrix - Physics Forum | Jennifer
- Jennifer1990
- · Replies 8 ·
Graduate Testing a Lanczos (tridiagonalization) algorithm
- senorbum
- · Replies 8 ·
Graduate How Can Vector Identities Be Proved Using Index Notation?
- Vermax
- · Replies 16 ·
Graduate I need a second opinion on a Graph Theory proof.
- dt666999
- · Replies 14 ·
Graduate Why are the casimirs independent of the representation
- Bobhawke
- · Replies 4 ·
Graduate Let A be an n x n matrix such that A^3 = On
- squenshl
- · Replies 1 ·
Graduate Is There a Function f: Z -> Z Such That f(f(n))=-n for Every Integer?
- ypatia
- · Replies 5 ·
Graduate Linear independence of eigenvectors
- AxiomOfChoice
- · Replies 3 ·
Undergrad Checking Graph Colorability: How Many Colors are Needed?
- zetafunction
- · Replies 1 ·
Graduate What is the meaning of this expression ?
- zetafunction
- · Replies 1 ·
Undergrad Learning Algebra: Questions and Advice
- brainy kevin
- · Replies 2 ·
Graduate Applications of Abstract Algebra?
- kathrynag
- · Replies 7 ·
Graduate Embed Symmetric Group in Alternating Group A(n+2)
- shaggymoods
- · Replies 2 ·
Undergrad Can Music Notes Be Transformed into Mathematical Algorithms?
- redrum42069
- · Replies 14 ·
Graduate Unknown primes less than largest known prime?
- SW VandeCarr
- · Replies 15 ·
Graduate Constructible root from cubic polynomial
- hanelliot
- · Replies 3 ·
Graduate Is Gamma Irrational? Investigating the Irrationality of Pi and e
- Pjennings
- · Replies 3 ·
Undergrad Solving an example, vectors as rows or columns of a matrix = same solution.
- Shawj02
- · Replies 9 ·
Graduate Definition of the determinant i = 1
- jeff1evesque
- · Replies 3 ·
High School Changing the subject of a formula
- chuckienz
- · Replies 1 ·