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.
Some questions about reducible matrices and operators
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Possible Values for Preimage Count in Meromorphic Functions on Riemann Sphere?
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Discover the Missing Number in the Series: 10, 9, 60, 90, 70, 66, ?
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Fundamental polygons and surfaces
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GL(2;C) is the group of linear transformations on C^2
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Proving Subrings: Understanding the Empty Subset of a Ring
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Understanding Eigen Vectors and Diagonalization for a 2x2 Matrix
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Rings, ideals and Groebner basis
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Proving Z is Abelian Group Under Normal Addition
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Determinant where the matrix entries may not be commutative
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Can we Construct an Exact Segment of Value \sqrt(n) for Any Natural Number n?
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Linear independency of operators
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Rank(A) + nullity(A) = no. of cols of A (WHY?)
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Odd Cosn Problem: What is cosπ/n+cos3π/n+...+cos(2n-1)π/n? Prove It!
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How Can Newton's Method Be Modified for Polynomial Congruences?
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A conjecture about Dirichlet series.
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'Euler criterion' for cube roots?
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Reducing Numbers: Can Big Numbers be Simplified?
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GRE Math Problem #57: Subring of R[x] From Real Numbers
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S0(3)/SO(2) is isomorphic to the projective plane
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X x Y is a Banach Space: Conditions Explored
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Is There a Complete List of Prime Numbers Up to 2^34 Available Online?
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Is it true for all n, Natural number?
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Einstein Theorem: Questions about Why b1co=0modp and boc1=0modp
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Solve Matrices System: Help with I, A, b, C
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Divisibility problem cant use module just induction
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How Does the Sign of a Permutation Product Relate to Its Components?
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Odd and Even Algebraic Equation for Whole Integers: Find the Range of 0 or 1
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Group of 3x3 Matrices w/o Center - Complex & Real Numbers
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Proving UT and TU Have Same Eigenvalues
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Linear Algebra in Computer Engineering
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Dual Spaces of Vector Spaces: Conventions and Dual Bases
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Are Two Successive Integers Always Coprime?
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How do I find an isomorphism between Sn+m and Zn x Zm?
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Q as Module over Z: Proving Unfinite Generating Ability
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General solution to diophantine equations
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Prove Either A or B is Singular Given AB is Singular
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Generating Converging Whole Numbers for (2x+3y)/(x+y) = e
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Are F5[x]/(x^2 + 2) and F5[x]/(x^2 +3) Isomorphic Polynomial Rings?
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Classification of Groups of Order (p^l)(q^m)(r^n)
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Is 4^2007 + 2007^4 a Prime Number?
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Group homomorphisms between cyclic groups
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Irreducible Components in a Primary Decomposition
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Determination of irreducible polynomials over a given field
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Is the Fundamental Group of a Pointed Space Dependent on the Base Point?
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Topology: simple connectedness and fundamental groups
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Proof of |HK| = (|H|*|K|)/|H∩K| for subgroups H and K in G
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Linear Algebra Text: Suggestions and Recommendations
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Basis of a subspace of a vectorspace
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Notation of ideals in ring theory
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Linear functional equivalence in vsp and subsp
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Simple Question - It's been a while since College
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Composing permutations in cycle notation
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Series of superimposed regular polygons
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Can a Fibonacci-like Series Prove Infinite Solutions for Diophantine Equation?
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Solving Triples with xy=a(x+y) and b = xy+xz+yz
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Algorithm for solving system of nonlinear equations
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David C. Lay's textbook, need info
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Coding in Quaternions and Matrices
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Sequence of circumscribed Cartesian coordinates
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Proof of existence of a Jordan form?
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How to Derive the Exact Expression for Dirichlet Series g(s)?
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What is N-Reciprocity and its significance in number theory?
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How was Fermat's Last Theorem Proved?
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Prove Polynomials of Degree 1, 2 & 4 Have Roots in Z_2[x]/(x^4+x+1)
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Differences between an axial vector, a pseudo vector and a bivector?
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What Are Colimits in Topological Spaces?
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Group of translations by a fixed distance
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Proving o(G) Divisible by p in Abelian Groups
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Extending maps defined on dense sets
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Standard representation of a vector space
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Algabreic Manipulation of Sigma Notation
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Factoring operator and fundamental theorem of algebra
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Fundamental groups and homotopy type
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Matric Proof: A, X', and Inverse - All You Need to Know | AA=A
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Consider the following group in presentation form
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Thank you!Is my understanding of T-invariant subspaces correct?
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Find the Value of n in X^3 + (x+2)^n + (2-x)^n = 0 - Help Wanted!
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Understanding Fibrations and Cofibrations in Model Categories
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Is a Monoid the Same as a Semi-group in Topology?
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Linear independence and dependence
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Understanding Span, Basis, and Dimension to Linear Algebra Concepts
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Seeking Help with Abstract Algebra Problems? Contact me at racland@gmail.com!
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Help with Abstract Algebra: Show ac=b, da=b w/Hint
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Measuring Gradient Strength in Binary String Mixtures
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Proof Even Order Groups Have Element of Order 2
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What Defines a Normal Subgroup in Group Theory?
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How do Hypercomplex Numbers and Quaternions Work in Supersymmetry?
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Constructing the Galois Group of f
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How Can I Find Solutions to Diophantine Equations?
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What Are Alternative Infinite Sets of Coprimes Generated by Simple Functions?
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Most rapidly convergent reciprocal prime series equal to 1
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Two questions on linear transformations.
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How do I decide if a point is within the triangle
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Existence question about matrix and ranks.
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A vector space and linear independent set.
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How to Prove This Fibonacci Identity Involving Squares and Products?
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Could a set of n verctors in Rm span all of Rm when n<m?
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Proving Linearity of L:R(4)→R(4)
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A purely terminological question
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