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.
Graduate Congruent equality - how to prove?
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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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