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 Is A + 2A^(-1) Invertible If A Is Invertible?
- vish_maths
- · Replies 8 ·
Undergrad Finding the Product of Primes: A Number Theory Puzzle
- evansmiley
- · Replies 1 ·
Undergrad Show that these vectors are in a vector space?
- ammar555
- · Replies 6 ·
Undergrad Algorithm for finding common factors of two numbers
- Gaussianheart
- · Replies 20 ·
Undergrad Finding SVD of Matrix H: Summing H1 and H2's SVD Values?
- EngWiPy
- · Replies 2 ·
Graduate Is a Commutative Group with a^2=1 Always a Group?
- physicsjock
- · Replies 4 ·
Graduate Numbers which are not ultimately functions of integers
- Loren Booda
- · Replies 12 ·
Undergrad Quadratic residues modulo 2 and 4
- yeland404
- · Replies 1 ·
Graduate Laplace transform as rotation. In what space?
- mclaudt
- · Replies 3 ·
Graduate Solve the Euler Totient Puzzle: Find k such that phi(k+n)=0 mod 79
- Gaussianheart
- · Replies 2 ·
Undergrad Are These Linear Algebra Statements True or False?
- ammar555
- · Replies 5 ·
Graduate Number system with an irrational base
- BenVitale
- · Replies 6 ·
Undergrad What Is the Difference Between a Transition Matrix and a Jacobian?
- HMT
- · Replies 3 ·
Graduate Is \( u^p \) a root of \( f(x) \) over \( GF(p) \) if \( u \) is a root?
- joeblow
- · Replies 3 ·
Graduate Why does ⟨x_i, y_i⟩ ≠ 0 in finite reflection groups preliminaries?
- Math Amateur
- · Replies 4 ·
Undergrad Rigorous abstract algebra book for undergraduates and graduates
- dijkarte
- · Replies 5 ·
Graduate Can you find the maximum distance in the travelling salesman problem?
- sparsh12
- · Replies 2 ·
Graduate Maximizing sum of products from two finite sets
- sparsh12
- · Replies 2 ·
Graduate Representation Theory of Finite Groups - CH 18 Dummit and Foote
- Math Amateur
- · Replies 8 ·
Graduate Is Number Line Density Constant or Variable?
- Loren Booda
- · Replies 9 ·
Graduate Negative diagonal elements in Incomplete Cholesky Decompostion
- Hassan2
- · Replies 4 ·
Graduate Logarithmic Integral and Primes
- Frogeyedpeas
- · Replies 2 ·
Graduate The Orthonormality of real valued Functions
- ReubenThorpe
- · Replies 7 ·
Graduate Are any two infinite-dim. V.Spaces isomorphic?
- Bacle
- · Replies 21 ·
Graduate Product of two subgroups and intersection with p-subgroup
- moont14263
- · Replies 1 ·
Undergrad Minimum number of elements in one set to sum to all in another
- TylerH
- · Replies 7 ·
Graduate Proof of the Order Divisibility Property
- squire636
- · Replies 4 ·
Graduate Can Dependent Variables Defy E(X)E(Y) = E(XY) in Probability?
- georg gill
- · Replies 4 ·
Number of elements in a ring with identity.
- AkilMAI
- · Replies 8 ·
Why does 1_R = 0_R imply the ring has only one element?
- Stephen88
- · Replies 20 ·
Graduate A general condition on polynomial roots
- lunogled
- · Replies 3 ·
Graduate Order of error for rational approximation of irrationals
- Liedragged
- · Replies 4 ·
Graduate How Can You Find the Number of Conjugation Permutations in a Group?
- physicsjock
- · Replies 3 ·
Graduate Reduced Grobner basis form a regular sequence?
- math2012
- · Replies 6 ·
Graduate A question regarding arithmetic progressions
- drag12
- · Replies 1 ·
Graduate Infinitely many solutions ? n*phi(n)=k
- Gaussianheart
- · Replies 5 ·
High School Proofs and puzzles for beginning mathematicians
- Imaginer1
- · Replies 9 ·
Graduate Primality Criteria for Wagstaff numbers
- pedja
- · Replies 2 ·
Prove det(I + uv^T) = 1 + v^T u for u,v in R^n
- Amer
- · Replies 1 ·
Graduate Is V a vector space? and Show that W is not a subspace
- mosawi
- · Replies 12 ·
Graduate Would someone tell me about the importance of number theory?
- AdrianZ
- · Replies 8 ·
Undergrad Proving A = B in Linear Algebra using (A-B)D = 0 and Inverses
- Jet1045
- · Replies 2 ·
System Ax=b with infinite solutions: when does rank(A|b)=rank(A)?
- Yankel
- · Replies 1 ·
Undergrad Which Book Should I Start With for Learning Number Theory?
- Genericcoder
- · Replies 10 ·
Graduate Show that if p^e divides n then p-1 and p^(e-1) divide φ(n)
- rechinball
- · Replies 3 ·
Proving Irreducibility of x^4 −7 Using Polynomial Theorems
- Poirot1
- · Replies 1 ·
Undergrad Associative Property of Convolution?
- DWill
- · Replies 8 ·
Which Coefficient Ring Makes f=x^2+1 Irreducible?
- Poirot1
- · Replies 4 ·
Undergrad Functions similar to Collatz that end in 2, 3, or 4
- NightFury
- · Replies 7 ·
Graduate Proving the Infinitude of Primes: Euler's Proof and Its Limitations
- MostlyConfusd
- · Replies 2 ·
Graduate Finding the 12th vector set from 11 polygon sequences
- italianboy
- · Replies 3 ·
Ring Theory: Proving Subrings and Ring Generation
- Poirot1
- · Replies 1 ·
Undergrad How were these linear motion equations derived?
- jshpark
- · Replies 1 ·
Graduate Is the concept of prime numbers biased by their factorization definitions?
- sciencecrazy
- · Replies 1 ·
Which Permutations Should Be Excluded in Leibniz Formula for Determinant?
- Amer
- · Replies 1 ·
Graduate Problem with minimizing the matrix norm
- mnb96
- · Replies 2 ·
Graduate Is i^i equal to e^-(pi/2 + 2npi)?
- Chantry
- · Replies 6 ·
Undergrad Can't understand technique for computing transformation matrix
- coreluccio
- · Replies 3 ·
Undergrad What is the Proof of the Size of Divisors for Integers?
- cariad69
- · Replies 2 ·
Graduate Proving that a subset of ℝ⁴ is an affine subset
- tamintl
- · Replies 19 ·
Graduate Squared norms: difference or notational convenience
- onako
- · Replies 2 ·
Why does every finite domain have an identity element?
- AkilMAI
- · Replies 1 ·
Undergrad How can the endless square root problem be solved?
- Chirag B
- · Replies 10 ·
Undergrad What is the Correct Way to Find Eigenvalues and Eigenvectors of a Matrix?
- Seon
- · Replies 1 ·
Prove Ring with Identity on Set S with One Element x
- Stephen88
- · Replies 3 ·
Undergrad Gram-Schmidt Method for orthogonal basis
- foreverdream
- · Replies 2 ·
Graduate The approach to project out certain vector
- onako
- · Replies 2 ·
Graduate Symmetry Groups Algebras Commutators Conserved Quantities
- friend
- · Replies 1 ·
Is (a,b) the GCD of a and b in a Divisibility Proof?
- wloger
- · Replies 2 ·
Graduate What is the canonical isomorphism ℂ ⊗_ℝ ℂ ≅ ℂ ⊕ ℂ?
- quasar987
- · Replies 11 ·
Graduate Determine if a matrix if positive definite
- onako
- · Replies 5 ·
Graduate Some Flat Equation Prime Number Aproximations
- qpwimblik
- · Replies 5 ·
Graduate How Do You Calculate the Dimension of F(u,v) Over F(u)?
- Wingeer
- · Replies 3 ·
Graduate Nilpotent operator or not given characteristic polynomial?
- fishshoe
- · Replies 4 ·
Graduate A prime limit that seems to approach a constant
- robnybod
- · Replies 5 ·
Graduate Can You Find the Prime Factors of m Using Euler's Totient Function?
- squire636
- · Replies 2 ·
High School How to Add Base-Six Numbers and Express the Sum 3546 + 4326 as a Base-Six Number
- PotentialE
- · Replies 1 ·
Graduate Linear or conjugate operators and automorphisms on the lattice of subspaces
- Fredrik
- · Replies 2 ·
Graduate New Test for Primes form 8n =/- 3
- ramsey2879
- · Replies 2 ·
Graduate Consecutive Numbers in the Fibbonacci Sequence and Sums of Two Squares
- Imaginer1
- · Replies 2 ·
Graduate Do Quasiperfect Numbers Really Exist?
- Joseph Fermat
- · Replies 3 ·
Graduate How to factor a polynomial modulo p?
- joebohr
- · Replies 3 ·
Graduate Product of a third- and second-order tensor.
- Nimlidor
- · Replies 6 ·
High School Easy algorithms to produce big numbers
- Loren Booda
- · Replies 12 ·
Undergrad Linear Algebra. Proving differentiable functions are a vector space.
- datran
- · Replies 3 ·
Graduate An error related with matrix exponential
- umut_caglar
- · Replies 5 ·
Graduate Qube root of 2, zero of second order polynomial
- jostpuur
- · Replies 7 ·
Graduate Why does multiplying elements of Z[α] give the conjugate of α?
- blahblah8724
- · Replies 1 ·
Graduate Fibonacci sequence- advanced realations
- Rocketboy123
- · Replies 3 ·
Graduate Exercise 12 from Hoffman and Kunze Linear Algebra
- asmani
- · Replies 3 ·
Undergrad Can Extending Vectors from ℝm to ℝm+1 Alter Their Representation?
- daiviko
- · Replies 1 ·
High School Simple Polynomial Factorization
- naptor
- · Replies 11 ·
Solve x^6=7 in F19: 6 Solutions
- MikeD2
- · Replies 4 ·
Graduate Some questions about solving eigenproblems to do modal analysis
- blah900
- · Replies 3 ·
Subgroups of a Cyclic Group G of Order 12
- GreenGoblin
- · Replies 16 ·
Which statement about eigenvalues and eigenvectors is not true?
- Yankel
- · Replies 9 ·
Graduate What are Mirror Planes and Distinct Symmetry Transformations in Mathematics?
- spaghetti3451
- · Replies 1 ·
Graduate Why is Te_2 determined by Te_1 in orthogonal transformations?
- Math Amateur
- · Replies 4 ·
Graduate Cosets and Vector Spaces Question
- Master J
- · Replies 9 ·
Graduate Finite abelian group into sequence of subgroups
- jav
- · Replies 1 ·