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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Undergrad Describe all n such that 3 devides n2^n+1
- rbetan
- · Replies 1 ·
Graduate Functions and infinite dimensional vectors
- lolgarithms
- · Replies 13 ·
Graduate Prove 5 is not a member of the sequence
- guildmage
- · Replies 5 ·
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 Divisibility of repunits and gcd with coprime factors
- Matthollyw00d
- · Replies 7 ·
Graduate Groups and Graphs: Proving Transitive Action on Vertices
- Mess10
- · Replies 1 ·
Undergrad Are e^x and e^{2x} linearly independent?
- evagelos
- · Replies 29 ·
Graduate Why does the inner product of a vector with itself equal zero in complex vector spaces?
- DeepSeeded
- · Replies 3 ·
Graduate Conjecture for prime pairs of difference two
- Loren Booda
- · Replies 6 ·
High School How do unit vectors show direction and why does the scalar product formula work?
- 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 Why does x^TAx=0 not imply A is antisymmetric?
- lukaszh
- · Replies 3 ·
Graduate Why polynomial entries in A - tI_n lack field inverses
- 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 Dimension of range and kernel for injective and surjective maps
- 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 Can a torsion module M with ann(M)={0} exist over a non-integral domain?
- 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 How does theorem 2.5 imply that A - λI_n is not invertible?
- 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 Prime-generating formula using primorial minus one
- 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 composition of linear mappings
- 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 the product pi^e irrational?
- Pjennings
- · Replies 3 ·