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 Has the Prime Number Distribution Puzzle Been Cracked?
- synergy
- · Replies 33 ·
Undergrad Proving Properties of Exponents Using Induction
- Ed Quanta
- · Replies 3 ·
Undergrad Proving n! > n^2 for n ≥ 4 with Induction
- jezse
- · Replies 2 ·
Graduate Clifford Algebra Question on Vectors
- treat2
- · Replies 5 ·
Undergrad Solving 4 linear equations with five unknown variables?
- franz32
- · Replies 4 ·
Graduate Has Any One solved Fermats Last Theorem ?
- karthik3k
- · Replies 6 ·
Undergrad Vector Spaces and polynomial functions
- endfx
- · Replies 15 ·
Undergrad Growth of Functions - What is "Log Star" (O(log*n))?
- gnome
- · Replies 5 ·
Graduate Vector Transformation in \mathbb{R}^n and \mathbb{R}^m with Separable Components
- nille40
- · Replies 2 ·
Graduate Algebraic closure of finite field
- matt grime
- · Replies 9 ·
Undergrad Proving n^3>n^2: Using Mathematical Induction and Set of Natural Numbers
- Ed Quanta
- · Replies 3 ·
High School Is zero considered a number in mathematics?
- hamlet69
- · Replies 33 ·
High School Solving (x+3)^(2/3)=3 and a rational equation
- gfighter39
- · Replies 2 ·
Graduate Attempting to prove Goldbach's conjecture using prime sets
- Radic
- · Replies 20 ·
Undergrad Proofs: If a|b then -a|b, a|-b, -a|-ab
- wubie
- · Replies 4 ·
Undergrad Making Vector Addition programmeable
- KingNothing
- · Replies 1 ·
High School Setting up equations for tree height growth rates
- jojonea
- · Replies 3 ·
Graduate How Can I Prove |ab| = |ba| in a Group?
- Jupiter
- · Replies 7 ·
High School Is 1 a Prime Number? - Fact Check
- crystal cascade
- · Replies 3 ·
Graduate Proving that gcd(x, n) = gcd(n-x, n) for 0 ≤ x ≤ n/2
- gimpy
- · Replies 5 ·
Undergrad How can a linear transformation be divided and separated into parts?
- nille40
- · Replies 5 ·
Graduate How Do You Prove the Order of ab is mn in an Abelian Group When gcd(m, n) = 1?
- Jupiter
- · Replies 5 ·
Graduate Prove n ≡ 3(mod 6) when 2^n + n^2 is prime
- gimpy
- · Replies 2 ·
High School Digital root properties of 9 in base 10
- alflud
- · Replies 13 ·
Graduate Is subset relation an equivalence relation on a set of sets?
- wubie
- · Replies 10 ·
Graduate How Do Dynamics and Algebra Interact in the Study of Affine Varieties?
- phoenixthoth
- · Replies 5 ·
High School Proving x = x² has only solutions 0 and 1 using axioms
- Ed Quanta
- · Replies 4 ·
Undergrad Proving the Distributive Law for Integers
- Ed Quanta
- · Replies 9 ·
Graduate Can You Plot the Parametrization for 3D Geometric Algebra?
- scariari
- · Replies 2 ·
High School Simple proof, just using the axioms
- Ed Quanta
- · Replies 2 ·
High School Why is division by zero undefined?
- avemt1
- · Replies 37 ·
Undergrad What is a semi-direct product?
- nille40
- · Replies 14 ·
Undergrad What happens as we approach infinity on the number line?
- jakrabb
- · Replies 2 ·
Graduate What is the structure of group algebras for D4 and Q8?
- algebrist
- · Replies 2 ·
Graduate What is the smallest non-solvable group and how can it be proven?
- Savaros
- · Replies 6 ·
Graduate Klein and Cyclic Groups: Definitions and Subgroups
- nille40
- · Replies 9 ·
Graduate How can the parallelogram law be proven?
- franz32
- · Replies 3 ·
High School Decimal fractions and the numer 1
- timejim
- · Replies 9 ·
Undergrad Questions about electric shock and field lines
- franz32
- · Replies 4 ·
Graduate Has the Poincare Conjecture Finally Been Solved?
- selfAdjoint
- · Replies 4 ·
Graduate Perfect numbers and the search for odd perfect numbers
- kebz33
- · Replies 18 ·
Graduate What is the relationship between a matrix A and its eigenvalue g when A-1 = A?
- agro
- · Replies 12 ·
Graduate Can't solve a problem about subspaces
- sintec
- · Replies 6 ·
Undergrad Showing 2 Lines Lie in Same Plane: Equation Solution
- sintec
- · Replies 5 ·
Graduate Fourier analysis of the prime distribution
- Loren Booda
- · Replies 2 ·
High School Find the first five terms of sequence
- vaastav
- · Replies 4 ·
Undergrad Matrix Solutions and Gaussian Reduction: An Introduction to Linear Algebra
- Gunni
- · Replies 4 ·
Undergrad Finding the Transformation Matrix for Linear Transformations in R^3
- sintec
- · Replies 6 ·
Undergrad Is Computational Number Theory Underrepresented in Online Resources?
- Moni
- · Replies 2 ·
Graduate What is the correct definition of SO(n) and SU(n)?
- meteor
- · Replies 2 ·
Graduate What is the number of elements in the set {x^(13n) : n is a positive integer}?
- yxgao
- · Replies 3 ·
Graduate Trying to track down a Partition theorem
- selfAdjoint
- · Replies 2 ·
Undergrad Greatest integer divides p^4 -1
- yxgao
- · Replies 3 ·
Graduate Taking the logarithm of the euler product
- MathematicalPhysicist
- · Replies 2 ·
Undergrad Divisibility Testing for Prime Numbers
- Moni
- · Replies 7 ·
Graduate How can I show that y is an eigenvalue of B?
- gimpy
- · Replies 3 ·
Undergrad Why are eigenvalues and eigenvectors important and how were they developed?
- dduardo
- · Replies 15 ·
Undergrad Do A and A^t always have the same eigenvectors?
- gimpy
- · Replies 2 ·
Graduate The group of invertible 2 by 2 matrices
- yxgao
- · Replies 2 ·
Newest Prime Number Found Today!
- Miles
- · Replies 2 ·
Undergrad Proving Linear Algebra Concepts: A=A^-1, A^T=A^-1
- franz32
- · Replies 8 ·
Graduate How do commutators act on tri-vectors in geometric algebra?
- scariari
- · Replies 5 ·
Graduate How many ways can n be written as a sum of primes?
- Loren Booda
- · Replies 9 ·
Graduate Show that if A is nonsingular symmetric matrix
- franz32
- · Replies 6 ·
Graduate Can I Name My Prime Series After Myself?
- Sariaht
- · Replies 10 ·
Undergrad How Can Vector Proofs Simplify Solving Complex Geometry Problems?
- matrix_204
- · Replies 1 ·
Graduate Understanding Gregory's Formula: A Mathematical Challenge
- Gunni
- · Replies 8 ·
High School A query that has only got two different prime factors
- QuantumNet
- · Replies 5 ·
Undergrad How Is the Permutation (23) Expressed as a Product of Transpositions?
- wubie
- · Replies 4 ·
Undergrad How can I better understand the steps of linear algebra?
- phantomAI
- · Replies 2 ·
Graduate Real primes as complex composites
- Loren Booda
- · Replies 2 ·
Undergrad Elementary Row Operations on Matrices
- cepheid
- · Replies 3 ·
High School Benediktov Problem: Solve the Daughters' Egg Selling Challenge
- vikasj007
- · Replies 2 ·
Graduate Solving an Eigenvalue Problem for Large n Matrix
- Pyrokenesis
- · Replies 5 ·
Graduate Is <Z_n\{0},+> a Group Without Zero?
- nille40
- · Replies 2 ·
Graduate How to determine if a subgroup is normal in Group Theory?
- wubie
- · Replies 6 ·
Undergrad Using set intersection to represent logical statements
- StephenPrivitera
- · Replies 5 ·
Graduate Definiton of a category question
- MathematicalPhysicist
- · Replies 3 ·
Graduate Order of elements in cyclic subgroup generated by a
- wubie
- · Replies 15 ·
Undergrad Matrices and Matrix Calculations of Linear Algebra
- ExtravagantDreams
- · Replies 6 ·
Undergrad Find A Permutation of order 6 in S5
- wubie
- · Replies 14 ·
High School What are normalizing, determinants, adjoints and linear algebra?
- hawaiidude
- · Replies 2 ·
Graduate Can the Resultant of Cross Products of Vectors with Zero Resultant also be Zero?
- STAii
- · Replies 2 ·
Undergrad Can Smullyan's paradox on page 189 be solved?
- MathematicalPhysicist
- · Replies 11 ·
Undergrad How to verify a number is a Carmichael number without checking all bases
- MathematicalPhysicist
- · Replies 8 ·
Undergrad What is M? system of linear equations
- hawaiidude
- · Replies 2 ·
Graduate Proving g2 = u in Dihedral Group of Order 8
- wubie
- · Replies 4 ·
Graduate Bohemian Intellectual Mathematics and Occultism
- Ramanujan12
- · Replies 1 ·
Graduate How Do You Calculate Curvature and Osculating Circles for a Helical Path?
- pezzang
- · Replies 5 ·
Undergrad What Is the Meaning of Permutations in Mathematics?
- wubie
- · Replies 2 ·
Undergrad Is Induction or Contradiction Better for Proving 2n+1 < 2^n When n > 3?
- Arden1528
- · Replies 6 ·
Graduate Noncommotative structural numbers
- Organic
- · Replies 3 ·
Undergrad Divisibility of c by a and b but not ab .
- wubie
- · Replies 3 ·
Graduate Has the Prime Number Distribution Conjecture Been Cracked?
- synergy
- · Replies 6 ·
High School How is division defined in mathematics?
- AndersHermansson
- · Replies 6 ·
Undergrad Is a*b = |ab| a Group Operation?
- Arden1528
- · Replies 12 ·
Undergrad How Do You Construct a Degree 8 Polynomial with Given Complex and Real Roots?
- Caldus
- · Replies 1 ·
High School Does the Euclidean algorithm use the larger number as m or n?
- Arden1528
- · Replies 2 ·
Graduate What is the relationship between the magenta and cyan areas?
- Organic
- · Replies 3 ·
Undergrad Proving: if m = dn and m|an, then d|a
- wubie
- · Replies 2 ·