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 Proof of existence of a Jordan form?
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Graduate How to Derive the Exact Expression for Dirichlet Series g(s)?
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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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