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 What is N-Reciprocity and its significance in number theory?
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Graduate How was Fermat's Last Theorem Proved?
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Undergrad Favourite field of mathematics
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Graduate Prove Polynomials of Degree 1, 2 & 4 Have Roots in Z_2[x]/(x^4+x+1)
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Graduate Differences between an axial vector, a pseudo vector and a bivector?
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Graduate What Are Colimits in Topological Spaces?
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Graduate Group of translations by a fixed distance
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Graduate Proving o(G) Divisible by p in Abelian Groups
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Graduate Extending maps defined on dense sets
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Undergrad Standard representation of a vector space
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Undergrad Algabreic Manipulation of Sigma Notation
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Graduate Factoring operator and fundamental theorem of algebra
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Graduate Fundamental groups and homotopy type
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Graduate Matric Proof: A, X', and Inverse - All You Need to Know | AA=A
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Graduate Consider the following group in presentation form
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Graduate Thank you!Is my understanding of T-invariant subspaces correct?
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Undergrad Find the Value of n in X^3 + (x+2)^n + (2-x)^n = 0 - Help Wanted!
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Graduate Understanding Fibrations and Cofibrations in Model Categories
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Graduate Is a Monoid the Same as a Semi-group in Topology?
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Undergrad Linear independence and dependence
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Undergrad Understanding Span, Basis, and Dimension to Linear Algebra Concepts
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Graduate Seeking Help with Abstract Algebra Problems? Contact me at racland@gmail.com!
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Graduate Help with Abstract Algebra: Show ac=b, da=b w/Hint
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Graduate Measuring Gradient Strength in Binary String Mixtures
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Graduate Proof Even Order Groups Have Element of Order 2
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Graduate What Defines a Normal Subgroup in Group Theory?
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Graduate How do Hypercomplex Numbers and Quaternions Work in Supersymmetry?
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Graduate Constructing the Galois Group of f
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Graduate Dr Euler and characteristic equations
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Undergrad How Can I Find Solutions to Diophantine Equations?
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Graduate What Are Alternative Infinite Sets of Coprimes Generated by Simple Functions?
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Graduate Most rapidly convergent reciprocal prime series equal to 1
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Graduate Two questions on linear transformations.
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Undergrad How do I decide if a point is within the triangle
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Graduate Existence question about matrix and ranks.
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Graduate A vector space and linear independent set.
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Graduate How to Prove This Fibonacci Identity Involving Squares and Products?
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Undergrad Could a set of n verctors in Rm span all of Rm when n<m?
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Undergrad Proving Linearity of L:R(4)→R(4)
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High School A purely terminological question
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Graduate Proof: Nilpotent Matrix A & Real Matrices AB-BA=I
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Graduate Does one zero equal its algebraic conjugate?
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Undergrad A different approach to prime numbers
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Graduate Inverses of Units: Are All Conjugates Always in the Field?
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Graduate How Do Groups Relate to Symmetry in Mathematics?
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Undergrad Matrix Variables: Solving Mx = b with 2-D Vectors
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Graduate Understanding Vector Spaces in Linear Algebra
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Graduate Question related to Pell's Equation
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Graduate Proving Isomorphism of Complex Number Conjugate: General Algebraic Systems
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Undergrad Finding the Limit of a Fibonacci Series
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Graduate Why the prime/irreducible distinction?
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Undergrad Spanning sets, and linear independence of them
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Undergrad Discovering Pairs of Positive Integers for Divisibility Puzzle
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Undergrad Automorphisms and some maps that are bijective
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Graduate What are the components of an isometry in Euclidean space?
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Undergrad What Does 'Canonical' Mean in Mathematics?
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Graduate Meaning of 'Space': Vector, Banach & Set Definitions
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Graduate How can I prove that W contains all elementary matrices?
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Undergrad Proving n & m Divide k When gcd(m,n)=1
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Undergrad Understanding Vector Spaces and Subspaces
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Graduate Approximate evaluation of this series (exponential sum)
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Graduate Proving B is Involutory if A is Idempotent
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Undergrad Solve x^3 + 5/3x - 200/27 = 0 with Cardano's Method: Tips & Tricks
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Graduate A quick Question about the set of Automorphisms of a field F
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Undergrad Forward difference Newtons formula
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Graduate Nonlinear Characters and Finite Groups: A Case Study
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Graduate Proof of Roots of Unity: Solving a Missing Step
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Graduate Characters of Normal Subgroup of Index 2
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Graduate Characteristic Polynomial for A with a=-1
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Graduate Inner Product: Equation for x^p & x^q | 65 Chars
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Graduate Is Fermat's Last Theorem Still Unsolvable in Base n?
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Graduate Wythoff' array and Wechsler's Sequence
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High School Dimensions Clarification needed.
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Graduate How Can a New Basis Change the Matrix Representation of a Linear Transformation?
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Graduate Is Hom(Lambda^k(V),Lambda^(k+1)(V)) and element of End(Lambda(V))?
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Graduate Proving Subgroups of Free Abelian Groups: A Troubleshooting Guide
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Graduate Stationarity Theory: Math Overview
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Graduate What a representation of a group is please?
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Undergrad Using Cramer's rule to solve linear equations with complex coefficients?
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Graduate Vector spaces over fields other than R or C?
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Graduate Difference between algebra and module?
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Undergrad Solving simultaneous trigonometric equations
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Undergrad What is the connection between complex numbers and vectors in R2?
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Graduate Understanding the Role of Quaternions: Algebra, Normed Linear Space, and Field
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Graduate Proving the Equality of Rank for Finitely Generated Ideals in Number Fields
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Undergrad One more elementary question, on square roots
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Graduate Clifford algebra isomorphic to tensor algebra or exterior algebra?
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Graduate Lucas-Lehmer Test With Polynomials
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Graduate What is a Graded Algebra with Z_2 Grading?
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High School Is There a Square of a Rational Number Between Any Two Positive Rationals?
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Graduate Efficiently Calculating Determinants Using Cofactors and Expansion
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Graduate How can primorials be used to generate a sequence of prime numbers?
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Graduate Explaining Non Archimedean Norm Proof
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Graduate Hiding small numbers in a huge number?
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Graduate What are some key results in algebraic number theory and how can they be proven?
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Graduate How to prove trace(A.A*) is positive
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Undergrad Conflict of interests results in lies?
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Graduate Are There Geometrical Methods to Find Integer Points for 2D Symmetryc Form?
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Undergrad Definition of Simultaneous Linear Difference Equations
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Graduate How can I solve the parametric representation problem for x^3+y^3=u^3+v^3?
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