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.
How can I prove a^3+b^3+c^3>=3abc using w=(abc)^1/3/?
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Proving I^n+J^m=R for Coprime I,J in a Ring R
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A proof of RH using quantum physics
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Proving One Solution for n^3-n = d^2+d using the Elliptic Method - Learn More!
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Fermat’s Last Theorem: A one-operation proof
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Prove that n^3-n is divisible by 6 for every integer n
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Find all divisors of for example 29601
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Visualizing equations in a row picture.
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Self-Taught: Cauchy-Schwarz Inequality (CSI) Explained
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Are Continuous Functions with Zero Integral a Subspace of C[a,b]?
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What Does the Term Singular Mean in Relation to Square Matrices?
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Congruent equality - how to prove?
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Proof of Fermat's Little Theorem
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Why is 1 not considered a prime number?
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Is the Product of All Irrationals Rational or Irrational?
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How Do Automorphisms Affect Elements in Non-Prime Subfields of Finite Fields?
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What is the Magical Property of the Fibonacci Array?
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Fibonacci Proof: No Consecutive Numbers Divisible by Integers | Helpful Hints
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Unique identity and inverse question.
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Solving Piece-wise Functions: y=|x|+x Graph Explained
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An strategy to prove Riemann hypothesis
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Galois Extension field properties
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Understanding Lines of Invariance and Their Relationship to Rotational Matrices
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How Can I Visualize 3D Rotation Transformations in Linear Algebra?
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Numerical solutions of system of nonlinear algebraic equations nonlinear algebraic eq
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Is There a Relationship Between g(1-s) and g(s) in L-Dirichlet Series?
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Can This Greedy Algorithm Help Anatjari Minimize His Desert Stops?
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Efficient Methods for Computing Determinants of Large Matrices
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Define R/Q: How to Add in Quotient Groups
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Getting Started with Noncommutative C* Algebras
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Is Dedekind's Axiom Still Relevant in Modern Mathematics?
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Image & Kernel of Linear Transformation: Q1 & Q2
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Representation of Rational Numbers by Formulas
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How to Classify Groups of Order pq² with Given Conditions?
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Unique linear transformations
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What is a Simplified Expression for pi(x)?
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Are Riemann hypothesis and Goldbach conjecture related?
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Can Redefining Operations Make Integers a Field?
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Non-Integral Bases in Computer Science | CompSci Forum Discussion
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A Number to a fraction of a power
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Are Sylow subgroups unique in groups with specific conditions?
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How to Prove HK is a Cyclical Subgroup?
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A Steep towards a formula for Pi(x)
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What is the connection between the Riemann hypothesis and prime numbers?
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How to Solve Equations with Positive Integer Solutions?
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Find zeros at the end of a factorial
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PDF file that gives a good introduction to congruencies?
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Can (x+y) + xy = C Be Solved for Even Numbers?
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Abstract Algebra Text Help - Dummit & Foot 2nd vs 3rd Edition
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Why Does (A-λ1I)(A-λ2I)x=0 Hold for Linear Combinations of Eigenvectors?
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Piece-wise continuous functions on the close interval
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Finding Roots of Complex Polynomials: General Formula and Exponential Form
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Interpolation Axis for two Matrices
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An integral expression for Pi(x)
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How can I easily convert between different bases?
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What is the reworded formula for Fermat's last theorem?
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Why is A(w) - A_R(w) in W_1 in the Triangulization Theorem?
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Basis for Subspace Spanning Three Vectors
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Find Eigenvectors & Eigenvalues of An Matrix with All 1's Entries
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Riemann Hypothesis effect on the world
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Solving MIT OCW Problem with A Matrix
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Orientation preserving and determinants
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Can a Triangle Have Sides of 1m and Hypotenuse of √2m?
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Similarity - trace and determinant
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Can You Solve ax+ay-xy=c for x and y Deterministically?
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Subset Span Proof: Proving W is a Subspace of V with Span(W) = W
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How to Convert a Univariate Polynomial to a Matrix?
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How can we obtain an integral equation for M(x)?
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Understanding Orthogonal Polynomials in Mathematical Physics
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Linear Transformations - formula
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What is the constant for ellipses and how does it relate to triquametric motion?
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Understanding the Definition and Status of -1 as a Prime Number
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Answer:Linear Operators a & b: Does Theorem Exist?
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Group Theory: What is a Group & Examples
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Modulo Arithmetic: Division Defined?
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How can group theory be applied to improve Rubik's cube solutions?
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Linear Transformation: Kernel, Dependence, Dimension, Basis
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Can This 4-Dimensional Integral Provide a New Way to Calculate Pi(x)?
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Let A be the matrix: [1 2 0 3] [0 0 0 0] [0 0 1 2] Is A in RREF?
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How do you find the equation of a plane given three points?
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Equality and Convergence of Prime Products
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Can A Square Matrix with AA^T = A^TA = I_n Have a Determinant of \pm 1?
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Show x+y & x-y are Orthogonal if x & y Have Same Norms
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Need help in factoring algorithms
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General solution to Pell-like equation y^2 + 2x^2 = n^2
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Why are certain matrices referred to as n x n?
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Quick notation+statement verification
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Need help in some inter-dimensional isomorphisms
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Factoring RSA-200: A Wolfram MathWorld Record
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Proof: A is Invertible if and only if A^T*A is Invertible | Matrix Algebra
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Can An Infinite Power Set Be Defined and Is it a Set?
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Abstract Algebra book suggestions
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Proof of Golbach's conjecture and the twin prime conjecture
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Congruence Problem Solution for FLT
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Help Needed: Solving Integer Equations with GCD = 1 - Angelo Spina
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Does Deutsch's Algorithm Reveal Insights Into Prime Numbers?
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Is Ker(f)={e} Enough to Prove Injectivity for a Group Homomorphism?
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Can Linear Independence of Vector Pairs Imply Independence of Their Union?
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Sin(2x) and sin(3x) are orthogonal to each other
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What is the basis for the subspace W spanned by {sin^2(x), cos^2(x), cos2x}?
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