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 Conceptual explanation of Dot Product
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Graduate Proof of Fermat's Little Theorem
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High School Why is 1 not considered a prime number?
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Graduate Is the Product of All Irrationals Rational or Irrational?
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Graduate How Do Automorphisms Affect Elements in Non-Prime Subfields of Finite Fields?
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Graduate What is the Magical Property of the Fibonacci Array?
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Undergrad Fibonacci Proof: No Consecutive Numbers Divisible by Integers | Helpful Hints
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Undergrad Solving Vector Proof: Perpendicular Distance Between Two Parallel Planes
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Undergrad Solving for Vectors a, b, and c - Help Appreciated
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Graduate How can I diagonalize this large sparse square matrix?
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Undergrad Unique identity and inverse question.
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High School Solving Piece-wise Functions: y=|x|+x Graph Explained
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Graduate Point Vectors in 3D Space: Are Cross Products of Two Vectors Equal?
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Graduate An strategy to prove Riemann hypothesis
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Graduate Galois Extension field properties
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Graduate Understanding Lines of Invariance and Their Relationship to Rotational Matrices
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Undergrad Cubics, Quartics, and Abel's Proof
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Graduate How Can I Visualize 3D Rotation Transformations in Linear Algebra?
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Graduate Numerical solutions of system of nonlinear algebraic equations nonlinear algebraic eq
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Undergrad Finding Prependicular Unit Vectors in 3D Space
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Graduate Is There a Relationship Between g(1-s) and g(s) in L-Dirichlet Series?
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Undergrad Can This Greedy Algorithm Help Anatjari Minimize His Desert Stops?
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Undergrad Efficient Methods for Computing Determinants of Large Matrices
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Graduate Define R/Q: How to Add in Quotient Groups
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Graduate Getting Started with Noncommutative C* Algebras
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Graduate Is Dedekind's Axiom Still Relevant in Modern Mathematics?
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Undergrad Image & Kernel of Linear Transformation: Q1 & Q2
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Undergrad Representation of Rational Numbers by Formulas
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Graduate How to Classify Groups of Order pq² with Given Conditions?
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Undergrad Unique linear transformations
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Graduate What is a Simplified Expression for pi(x)?
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Undergrad Polynomials of 2 Variables: General Form & Matrix Representation
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Graduate Are Riemann hypothesis and Goldbach conjecture related?
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Graduate Can Redefining Operations Make Integers a Field?
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Undergrad Non-Integral Bases in Computer Science | CompSci Forum Discussion
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Undergrad Solving Polynomial Factors: Using Factor Theorem and Synthetic Division
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High School A Number to a fraction of a power
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High School Need Help with Matrix? Let Me Guide You!
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Graduate Are Sylow subgroups unique in groups with specific conditions?
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Undergrad Equation of the line given a translation vector (that is coincident) and a point
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Graduate How to Prove HK is a Cyclical Subgroup?
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Graduate A Steep towards a formula for Pi(x)
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Graduate What is the connection between the Riemann hypothesis and prime numbers?
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High School How to Solve Equations with Positive Integer Solutions?
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Undergrad Why must every homogeneous system of planes have at least 1 intersection point
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Undergrad Find zeros at the end of a factorial
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High School PDF file that gives a good introduction to congruencies?
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Undergrad Can (x+y) + xy = C Be Solved for Even Numbers?
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Undergrad Abstract Algebra Text Help - Dummit & Foot 2nd vs 3rd Edition
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Graduate Why Does (A-λ1I)(A-λ2I)x=0 Hold for Linear Combinations of Eigenvectors?
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Graduate Piece-wise continuous functions on the close interval
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Undergrad Finding Roots of Complex Polynomials: General Formula and Exponential Form
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Undergrad Finding Inverse of Matrix & Solving AB=C: Urgent Help Needed
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Graduate Interpolation Axis for two Matrices
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Graduate An integral expression for Pi(x)
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High School How can I easily convert between different bases?
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Graduate What is the reworded formula for Fermat's last theorem?
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Graduate Why is A(w) - A_R(w) in W_1 in the Triangulization Theorem?
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Undergrad Basis for Subspace Spanning Three Vectors
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Graduate Find Eigenvectors & Eigenvalues of An Matrix with All 1's Entries
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Graduate Riemann Hypothesis effect on the world
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Undergrad Solving MIT OCW Problem with A Matrix
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Graduate Orientation preserving and determinants
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High School Can a Triangle Have Sides of 1m and Hypotenuse of √2m?
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Undergrad Similarity - trace and determinant
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Undergrad Can You Solve ax+ay-xy=c for x and y Deterministically?
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Graduate Subset Span Proof: Proving W is a Subspace of V with Span(W) = W
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Undergrad How to Convert a Univariate Polynomial to a Matrix?
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Graduate How can we obtain an integral equation for M(x)?
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High School Learning vectors: the dot product of vectors
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Undergrad Understanding Orthogonal Polynomials in Mathematical Physics
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Undergrad Linear Transformations - formula
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Graduate What is the constant for ellipses and how does it relate to triquametric motion?
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Undergrad Understanding the Definition and Status of -1 as a Prime Number
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Graduate Answer:Linear Operators a & b: Does Theorem Exist?
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Undergrad Rotating a Vector in a Coordinate System: Explaining the Formula
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Undergrad Group Theory: What is a Group & Examples
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Undergrad Modulo Arithmetic: Division Defined?
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Graduate How can group theory be applied to improve Rubik's cube solutions?
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Undergrad Linear Transformation: Kernel, Dependence, Dimension, Basis
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Graduate Can This 4-Dimensional Integral Provide a New Way to Calculate Pi(x)?
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Undergrad 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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Undergrad How do you find the equation of a plane given three points?
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Graduate Equality and Convergence of Prime Products
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Undergrad Calculation of simultaneous equations
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Graduate Can A Square Matrix with AA^T = A^TA = I_n Have a Determinant of \pm 1?
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Undergrad Show x+y & x-y are Orthogonal if x & y Have Same Norms
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Undergrad What are the key differences between affine and vector spaces?
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Graduate Need help in factoring algorithms
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Graduate General solution to Pell-like equation y^2 + 2x^2 = n^2
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High School Why are certain matrices referred to as n x n?
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Graduate Quick notation+statement verification
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Graduate Need help in some inter-dimensional isomorphisms
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Factoring RSA-200: A Wolfram MathWorld Record
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Undergrad Proof: A is Invertible if and only if A^T*A is Invertible | Matrix Algebra
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Graduate Can An Infinite Power Set Be Defined and Is it a Set?
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Undergrad Abstract Algebra book suggestions
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Graduate Proof of Golbach's conjecture and the twin prime conjecture
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Graduate Congruence Problem Solution for FLT
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Graduate Help Needed: Solving Integer Equations with GCD = 1 - Angelo Spina
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