Linear and Abstract Algebra Forum

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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.
Undergrad How Do You Find a Basis for the Nullspace When the First Column Is All Zeroes?
  • xenogizmo
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Graduate What is the cocycle condition in deRham cohomology?
  • lethe
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Undergrad Why is sin(2*pi/7) a Non-Constructible Number?
  • keiop3
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High School Find Perpendicular Bisector of Line AB (2,3) & (0,6)
  • Przybysz
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Graduate Quaternions And Complex Numbers
  • Kambiz_Veshgini
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Graduate Ring, field, injection, surjection, bijection,
  • gvk
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Undergrad Best Books on Modern Algebra: Popular to Undergraduate
  • gvk
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Undergrad How to solve Pell's equation using Alpertron's online calculator
  • mrdex
  • · Replies 10 ·
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Undergrad How to Code a Vandermonde Matrix Inverse in Java?
  • Parth Dave
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Undergrad I wont to learn the logic behind a determinant
  • paul-martin
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Graduate Intersection of disjoint SETS is empty
  • Oxymoron
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High School Calculating Vector Magnitudes by Breaking Down Components
  • SMS
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Undergrad Best introductory book to senior algebra
  • Mark
  • · Replies 4 ·
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High School Help solving a system of linear equations
  • Whitebread
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5
Undergrad Splitting a Matrix with Choleski Method: A Simple Example
  • niko2000
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Undergrad How to determine the base of a Number given a problem?
  • dk702
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Undergrad Splitting a Square Matrix into Lower/Upper Triangular Matrices
  • niko2000
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Graduate Is pi+e Algebraic? Debunking the Mystery
  • gravenewworld
  • · Replies 4 ·
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4
Undergrad What is the ratio of singular to non-singular matrices?
  • Ad Infinitum NAU
  • · Replies 10 ·
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Undergrad Are These Two Equations Linearly Independent?
  • turin
  • · Replies 7 ·
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Undergrad Help with making an orthonormal basis
  • graphic7
  • · Replies 4 ·
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Undergrad Ideas on what this transformation is doing?
  • graphic7
  • · Replies 7 ·
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Graduate How Can I Generate Two 1024 Bit Prime Numbers Using the AKS Primality Test?
  • Anzas
  • · Replies 12 ·
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Undergrad What is the root between -3 and -2 for the equation y^3 - 3y + 4 = 0?
  • scoutfai
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Graduate The 3D equivalent to Quaternion?
  • Aidman
  • · Replies 3 ·
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Undergrad Best Introductory Abstract Algebra Books for Aspiring Number Theorists?
  • Paul
  • · Replies 5 ·
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Graduate Lethe asked for volunteers (rep theory)
  • marcus
  • · Replies 21 ·
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Graduate How Many Distinct Islands Can Exist in an nxn Grid with Multiple Colors?
  • TenaliRaman
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Undergrad Linear algebra book and other questions
  • galois427
  • · Replies 3 ·
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Undergrad Help with prime factorization proof
  • Ed Quanta
  • · Replies 9 ·
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Undergrad Solve this Math Problem: Find the Last Two/Three Digits of 3^3^3^3
  • ilml
  • · Replies 5 ·
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Undergrad Terms for Reaching 10^57 in a Series?
  • kurious
  • · Replies 3 ·
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Graduate What are Some Challenging Number Theory Problems?
  • ukamle
  • · Replies 8 ·
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Undergrad Solve Difficult Math Equation - SuperSamuraiStar
  • Poweranimals
  • · Replies 6 ·
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Undergrad Solve Complicated Partial Fractions Questions
  • DavioSenBoo
  • · Replies 9 ·
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Undergrad Difference between a field and a ring
  • Saint Medici
  • · Replies 7 ·
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Number Theory ebooks: Free Fundamental Downloads
  • Omid
  • · Replies 5 ·
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5
Undergrad Finding Polynomials with Specific Properties: How Do I Do That?
  • Mathman23
  • · Replies 8 ·
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Undergrad What Are Alternative Applications of Linear Systems in Physics?
  • juan avellaneda
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Graduate Please, some help on the 36-officers problem
  • marlon
  • · Replies 3 ·
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Graduate Find Prime Double Pairs: Frequency & Infinity
  • mathman
  • · Replies 3 ·
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Graduate Monotone convergence theory
  • jmazurek
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Graduate 3D graphics: finding optimal view of a scene with constraints
  • Polverone
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Undergrad Looking for a good abstract book
  • AndyCiep
  • · Replies 7 ·
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High School I proving if a + a = 0 then a = 0
  • jmazurek
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Graduate Finding riccati solution of A*X+A'*X+X*W*X+Q
  • gs
  • · Replies 6 ·
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Undergrad How Can You Prove the Divisibility of 2x + 3y and 9x + 5y by 17?
  • futb0l
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Undergrad How many possibilities are there to get 144
  • futb0l
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Undergrad Can the Chinese Remainder Theorem be Used to Solve Systems of Linear Equations?
  • juan avellaneda
  • · Replies 2 ·
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Undergrad Inverse chinese remainder theorem
  • juan avellaneda
  • · Replies 9 ·
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Graduate Proving gcd(a,n)=(a-1,n)=1 and its implications on mod calculations
  • 1+1=1
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Undergrad Are My Congruence Calculations Correct?
  • 1+1=1
  • · Replies 16 ·
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7-million digit prime number discovered
  • Monique
  • · Replies 11 ·
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Graduate No same factor theory inference by hey.like
  • hey.like
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Undergrad Can You Solve the Real Challenge?
  • no genius
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Graduate Does the Prime Factorial Conjecture Hold True for All Primes?
  • PFanalog57
  • · Replies 3 ·
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Graduate The Poincare Conjecture *Kinda long*
  • SeveredNebula223
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Undergrad Understanding Reduced Residue Systems Mod 7: Can You Help?
  • 1+1=1
  • · Replies 16 ·
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High School Is there a relationship between these numbers from the Phi function?
  • Lokolo
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Graduate Square matrix where the coefficients of the diagonal are 1
  • ario
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Undergrad Modular Math Problem: What Is the Largest n?
  • Gokul43201
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Graduate Can Any Integral Weight Up to 121 Ounces Be Measured with Five Specific Weights?
  • nocheesie
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High School Least Possible Sum of Recipricols of Two Positive Ints = 9
  • Itachi
  • · Replies 6 ·
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What Are the Most Fascinating Aspects of Purely Theoretical Mathematics?
  • Shahil
  • · Replies 8 ·
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Graduate Help Needed: Prime, Square & 0s - Seeking Direction
  • 1+1=1
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Graduate Are All Even Perfect Numbers Also Triangular Numbers?
  • 1+1=1
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Undergrad Modulo and congruencies in class
  • 1+1=1
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Graduate What Are the Key Divisibility Rules and Counterexamples in Number Theory?
  • 1+1=1
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Undergrad Understanding Theory: Solving Real Number Problems with Ease
  • 1+1=1
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Undergrad Prove to me that the pythagorean triples
  • 1+1=1
  • · Replies 11 ·
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Undergrad Does Vector Projection Depend on the Magnitude of Both Vectors?
  • Zorodius
  • · Replies 4 ·
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Undergrad Can the GCD and LCM of [a,b] be proven to equal [ac,bc] with c>0?
  • 1+1=1
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Graduate What is the smallest possible positive real number?
  • Jack Martinelli
  • · Replies 16 ·
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Graduate Is the Product of Primes Significant in Number Theory?
  • Loren Booda
  • · Replies 38 ·
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Undergrad How Do Addition and Multiplication Tables Work in Base -5?
  • 1+1=1
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High School Need help Proving quadriatic equation
  • princesscharming26
  • · Replies 4 ·
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Undergrad Validate 10|z: 8 Cases to Consider
  • 1+1=1
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High School Is There a Contradiction in the Brain Teaser with Positive Integers x and y?
  • 1+1=1
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Graduate Solve Modular Math Problem: A,B→C
  • Gokul43201
  • · Replies 7 ·
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Undergrad Is there yet a mystery about partitions?
  • billy_boy_999
  • · Replies 2 ·
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Graduate Is the number of twin primes really infinite?
  • maverick280857
  • · Replies 6 ·
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High School Solve x + y = Relatively Prime: Need Help
  • 1+1=1
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Graduate Discover an Original Identity with Merten's Function
  • MathNerd
  • · Replies 2 ·
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Graduate What is the value of this infinite product?
  • quddusaliquddus
  • · Replies 13 ·
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Graduate Fractional Series which approach the square roots of prime numbers.
  • duren99109
  • · Replies 2 ·
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Undergrad Help with Vector Space: Real Vector Space Explained
  • profuse007
  • · Replies 12 ·
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Graduate Looking for Online Document on SO(N)
  • Alamino
  • · Replies 2 ·
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Undergrad Determinant = volume using rows.
  • Damned charming :)
  • · Replies 2 ·
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Undergrad Laplace Transform - How was it created?
  • Vargas
  • · Replies 2 ·
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Graduate Can f(n) equal f(x) in the sum of digits equation?
  • dapet
  • · Replies 5 ·
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Undergrad Proof: Numbers with repeating blocks of digits are rational
  • e(ho0n3
  • · Replies 7 ·
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Undergrad Compress 3D Objects Into 2 Dimensions?
  • PFanalog57
  • · Replies 7 ·
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Graduate Solving Abstract Algebra Problem: 3 Elements of {p,p+q,pq, p^q,q^p}
  • lhuyvn
  • · Replies 2 ·
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Undergrad Understanding Linear Equations and the Simplex Method for Function Optimization
  • Pattielli
  • · Replies 6 ·
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6
Graduate Is This the Real Proof of Fermat's Last Theorem?
  • juan avellaneda
  • · Replies 7 ·
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Undergrad When is Matrix C Not Invertible?
  • dcl
  • · Replies 3 ·
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Graduate Is There a General Method for Finding Full Reptend Primes?
  • imathgeek
  • · Replies 13 ·
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Graduate Introducing Yourself to Compact and Non-Compact Lie Algebras
  • guillom
  • · Replies 2 ·
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Undergrad How Can Infinitely Many Integers Make n² + (n+1)² a Perfect Square?
  • qaz
  • · Replies 4 ·
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High School Intergration: Algebra, Writing Equations of Lines
  • Redfrog2
  • · Replies 2 ·
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