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 Where did the six come from in the Chinese Remainder Theorem?
- chaotixmonjuish
- · Replies 3 ·
Graduate Interpretation/significance of the eigenvalues for a system?
- illwerral
- · Replies 8 ·
Graduate Factoring a wedge product into vectors? (geometric algebra)
- Peeter
- · Replies 4 ·
Undergrad Understanding Adjacency Matrices for Digraphs?
- Marie11
- · Replies 2 ·
High School Is the Prime Spiral an Intriguing Study or Just a Quirk?
- Helical
- · Replies 5 ·
Graduate Connection between A(N-1) and SU(N)
- gouranja
- · Replies 1 ·
Graduate What's the Order of GL_2(F_5)?
- T-O7
- · Replies 14 ·
Graduate Definition of Irreducible Group & Its Relation to GL(n,F)
- Hello Kitty
- · Replies 1 ·
Graduate Divisibility Problem: Fast Algorithm for Large Integers A and B
- mhill
- · Replies 1 ·
Undergrad Find T([3,1]) for Linear Transformation R2 to R3
- radiator
- · Replies 2 ·
Graduate What is the cyclic subgroup order of GL(2,p^n) generated by the given matrix?
- Hello Kitty
- · Replies 5 ·
Undergrad To what number b/w 0 and 4 inclusive
- zazisr
- · Replies 3 ·
Undergrad What is Probabilistic number theory , could we rely on it ?
- mhill
- · Replies 1 ·
High School When Does Matrix Multiplication Not Work?
- j-lee00
- · Replies 2 ·
High School A quick question about scalar product of vectors
- TA1068
- · Replies 5 ·
Graduate What Are the Idempotents of the Ring Z/100Z?
- chivhone
- · Replies 1 ·
Graduate Unify principles of two formulae
- Twinbee
- · Replies 3 ·
Graduate Find Basis for Ker (T) with S = {1, 0, 1, 0}
- Luke1294
- · Replies 3 ·
Undergrad How do I use Least Square Fitting to Calculate the Best Line of Fit?
- EngNoob
- · Replies 4 ·
High School Is MIT's Linear Algebra Video Lecture a Must-Watch for Beginners?
- zyh
- · Replies 3 ·
Undergrad What is the signed angle between two 2-dimensional vectors?
- daviddoria
- · Replies 12 ·
Graduate Uncovering the Connection Between Rings and Involutions: A Homomorphism Puzzle
- Mechmathian
- · Replies 6 ·
Undergrad But we assumed p and q are mutually prime, a contradiction.
- rohanprabhu
- · Replies 16 ·
Graduate Choose subset of n+1 from 2n set
- xax
- · Replies 7 ·
Graduate Is a Self-adjoint Operator Always Real?
- daudaudaudau
- · Replies 3 ·
Undergrad Entries in every row add to zero (nullspace/determinant question)
- mace2
- · Replies 2 ·
Undergrad Inverse of Matrix Sum Formula: Solving for Upper Triangular Matrices
- Physics_wiz
- · Replies 1 ·
Undergrad Linear Dependence: Complex Equations & Conjugates
- emanaly
- · Replies 3 ·
Graduate [((n-1)/2)]^2 = -(-1)^[(n-1)/2] (mod n)
- xax
- · Replies 7 ·
Undergrad Need help finding equation of a plane
- sk_88
- · Replies 2 ·
Graduate Closedness question about adjoint image
- jostpuur
- · Replies 3 ·
Graduate Vector/Matrix Differentiation: Where to Put the Transpose?
- daviddoria
- · Replies 4 ·
Graduate Is R a Finite-Dimensional Vector Space Over Q?
- matheinste
- · Replies 33 ·
High School Really dumb question: why do we use e_i for unit vectors?
- Peeter
- · Replies 16 ·
Undergrad Can (n-1) be Divisible by n for Any Natural Number n ≥ 5 and Not Prime?
- xax
- · Replies 7 ·
Graduate Proving GL(n) Center Diagonal Matrices
- Jim Kata
- · Replies 1 ·
Undergrad How Does Matrix Symmetry Affect Row and Column Ranks?
- Physicsissuef
- · Replies 26 ·
Undergrad Solve Extraneous Roots: Why Do They Arise?
- bacon
- · Replies 2 ·
Graduate Exponential bound for Euler's zeta function?
- Loren Booda
- · Replies 3 ·
Graduate Moore penrose inverse expressed as geometric product?
- Peeter
- · Replies 3 ·
Graduate Geometrical algebra's: simple equation
- CompuChip
- · Replies 3 ·
Undergrad Reducing Number of Multiplications in a Loop
- rwinston
- · Replies 5 ·
Undergrad GCD(a+h,b+k) - Formula Given GCD(a,b) & GCD(h,k)?
- harshant
- · Replies 2 ·
Graduate Lebesgue measure and scale freedom
- my_wan
- · Replies 21 ·
Graduate Germain Primes and the Homogenous Integer Function Q(x,y)
- vantheman
- · Replies 4 ·
Undergrad Why Might My Palindrome Calculation Be Incorrect?
- rwinston
- · Replies 1 ·
Graduate Sum of two prime ideals is prime ?
- sihag
- · Replies 6 ·
High School How Can I Perform Quadratic Regression on an HP 50g Calculator?
- stephen92
- · Replies 1 ·
Graduate Understanding Quotient Vector Space: Collapsing to Zero
- matheinste
- · Replies 2 ·
Graduate Can a 4x4 matrix with two vanishing eigenvalues have a square root?
- PRB147
- · Replies 4 ·
High School Solving Whole Integer Solutions for Easy Math Quesiton 3 (x^2)=a^2
- W3pcq
- · Replies 1 ·
Undergrad How to solve second-order matrix diffrential equation?
- jahandideh
- · Replies 6 ·
Graduate What is the English translation for Einsatzunghomöomorphismus in German?
- trambolin
- · Replies 2 ·
Undergrad Linear Algebra: Solving Systems of Equations with Wedge Product?
- jdstokes
- · Replies 3 ·
Graduate Is the Intersection of Even and Odd Function Subspaces Only the Zero Function?
- vdgreat
- · Replies 6 ·
Graduate Proving the Sum of a Series using Fourier Series Technique
- maddogtheman
- · Replies 2 ·
High School Can You Count the Zeros Between Two Numbers?
- whatever84
- · Replies 4 ·
Graduate How to Show that PL is a Matrix in Vector Projection?
- John Smith
- · Replies 1 ·
Undergrad Prove Commutation Property for 2x2 Matrices D
- vdgreat
- · Replies 9 ·
Graduate X in dA => x isolated or strict limit (Topological space)
- NickAlger
- · Replies 11 ·
Graduate Prove Sum of Series Property: a_n = Ba_{n-1} - a_{n-2}
- ramsey2879
- · Replies 6 ·
Graduate Completeness of irreducible representations
- alexgs
- · Replies 9 ·
Undergrad Is Elementary Number Theory More Challenging Than Calculus and Linear Algebra?
- [Aqua]
- · Replies 1 ·
Graduate How Can You Prove the Commutative Property of Vector Addition in Rn Spaces?
- Shenlong08
- · Replies 4 ·
Undergrad Why Do Monotonous Functions Have Only One Unique Solution?
- Physicsissuef
- · Replies 38 ·
Graduate Reduction of a blade pseudovector quotient?
- Peeter
- · Replies 2 ·
Graduate Prove that phi(a^n - 1) is divisible by n
- xax
- · Replies 7 ·
Graduate Prove that a^t = -1 (mod p^k) for
- xax
- · Replies 4 ·
Graduate Linear Programming Theory, Optimality Criterion Question
- ayas
- · Replies 1 ·
Graduate Infinite Sum Question (q-harmonic?)
- re8
- · Replies 5 ·
Graduate Projection Operators on Vector Spaces: Clarifying Mistakes
- HenryGomes
- · Replies 2 ·
Graduate Proving Vector Space Subspace Union: Tips and Assistance"
- ambuj123
- · Replies 5 ·
Graduate Proving 2Z is Non-Isomorphic to 3Z
- sihag
- · Replies 2 ·
Undergrad PROOF: Independent vectors and spanning vectors
- Ella087
- · Replies 8 ·
Undergrad Need help on matrices using cramer's rule
- qdv
- · Replies 3 ·
Undergrad Recommendation for textbook on number theory
- dpackard
- · Replies 10 ·
Undergrad Questions about twin prime numbers
- al-mahed
- · Replies 17 ·
Undergrad Overview of Matrix Invertibility: How Can We Prove That a Matrix is Invertible?
- sihag
- · Replies 2 ·
Graduate Does Closure of Y Guarantee Continuity of Projection in Norm Space X?
- jostpuur
- · Replies 6 ·
High School Uncovering the Mystery of 5 & 6: A Puzzle
- Surreal Ike
- · Replies 29 ·
Undergrad How Can You Maximize the Product of Integers Given a Fixed Sum?
- mhill
- · Replies 1 ·
Undergrad Proof of n(n-1)/2 as the Number of 2-Subsets in an n-Set
- Ella087
- · Replies 4 ·
Undergrad Proof of Venn Diagram for Sets A, B & C
- leilei
- · Replies 2 ·
High School Master Arithmetic with Comprehensive Tables
- *Jas*
- · Replies 7 ·
Graduate Doran/Lasenby. Commutator and symmetric products?
- Peeter
- · Replies 5 ·
Undergrad Finding Eigenvalues for a Matrix with One Real Eigenvalue of Multiplicity 2
- jmcasall
- · Replies 6 ·
Graduate Artin's Conjecture on Primitive Roots: Perfect Squares
- setkeroppi
- · Replies 2 ·
Undergrad What is the relationship between subspaces V and W if V is contained in W?
- leilei
- · Replies 2 ·
Undergrad Reverse Partition grouping problem
- ramsey2879
- · Replies 2 ·
Graduate Problem with transformations in Rijndael's finite field
- qxcdz
- · Replies 7 ·
Undergrad Calculating Hamming Distances in 5-Bit Binary Sets
- asdf1234
- · Replies 9 ·
Graduate Finding powers of a square matrix
- sylar
- · Replies 3 ·
Graduate Direct Image Sheaf at Generic Point of an Irreducible Component
- LorenzoMath
- · Replies 11 ·
High School Finding a Parabola using three points, no equations
- DarlingAly
- · Replies 2 ·
Graduate How Do Elements of Direct Product Groups Commute in Particle Physics?
- foobar
- · Replies 2 ·
Graduate How can diagonal matrices help solve eigenvalue problems?
- soulflyfgm
- · Replies 5 ·
Undergrad Are All Bases Sets of Orthogonal Vectors?
- pr0me7heu2
- · Replies 2 ·
Undergrad Modular Algorithm for Solving Equations with Unknowns Modulo 100
- booney1983
- · Replies 6 ·
Graduate When Does a Map Induce an Isomorphism or Homomorphism?
- WWGD
- · Replies 1 ·
Graduate Geometric algebra solution for intersection of planes in RN
- Peeter
- · Replies 13 ·