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 Short description about dihedrals?
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Graduate A Question to Trouble Even the Best of You
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Graduate Orbit Type Strata of C^3: 2-torus Action (a,b)
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Graduate Finding Greatest Integer Divisor for Primes on GRE Math Practice Test
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Graduate Proving the Constructibility of Numbers: Hints and Proofs
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Graduate Proving Simplicity of Lie Algebra L: Basis Elements and Ideal Structure
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Graduate More docile dfn of local path-connectedness?
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Undergrad Linear Programming: Maximize Profit for Biscuit Manufacturer
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Graduate Isomorphism O: L2(E) to (E,E*) for Vector Spaces over Field K
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Graduate Eigenvalues And Eigenvectors Problems
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Undergrad Gram-Schmidt Orthonormalization: Modifying Vectors & Spanning Space
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Undergrad Multiplying non-disjoint permutation cycles
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Graduate What is the principal representation?
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Graduate Weierstrass theorems and primes.
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Graduate Can a Change of Basis Matrix be Pre-multiplied with a Transformation Matrix?
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Undergrad Intermediate Value Theorem for Polynomials
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High School Easy Questions, Difficult Answers
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Undergrad What are some practical applications of linear algebra in electrical circuits?
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Graduate Does Euler's Product Over Primes Converge for s > 1?
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Graduate The Klein bottle using the Euler caracteristic + orientability caracterisation
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Graduate Is the sum of Non-trivial Zeros of the Riemann Zeta Function calculable?
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Undergrad Can Divisibility of Powers Imply Divisibility of Bases?
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Graduate Exact Sequences: Intuition & Theory
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Graduate Not clear about the change of basis in new space
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Graduate Is the distribution of almost-primes known.
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Graduate Greatest Lower Bound: Prove It!
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Graduate 3x3 similar matrices defined by characteristic and minimal polynomials
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Graduate Deducing Properties of M^2=I Given an nxn Matrix
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Graduate Some questions about reducible matrices and operators
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Graduate Possible Values for Preimage Count in Meromorphic Functions on Riemann Sphere?
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High School Discover the Missing Number in the Series: 10, 9, 60, 90, 70, 66, ?
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Graduate Fundamental polygons and surfaces
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Graduate GL(2;C) is the group of linear transformations on C^2
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Graduate Proving Subrings: Understanding the Empty Subset of a Ring
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Undergrad Understanding Eigen Vectors and Diagonalization for a 2x2 Matrix
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Graduate Rings, ideals and Groebner basis
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Undergrad Proving Z is Abelian Group Under Normal Addition
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Graduate Determinant where the matrix entries may not be commutative
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Graduate Can we Construct an Exact Segment of Value \sqrt(n) for Any Natural Number n?
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Graduate Linear independency of operators
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Undergrad Rank(A) + nullity(A) = no. of cols of A (WHY?)
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Graduate Odd Cosn Problem: What is cosπ/n+cos3π/n+...+cos(2n-1)π/n? Prove It!
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Graduate How Can Newton's Method Be Modified for Polynomial Congruences?
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Graduate A conjecture about Dirichlet series.
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Graduate 'Euler criterion' for cube roots?
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Undergrad Reducing Numbers: Can Big Numbers be Simplified?
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Undergrad Extracting overall angle from a matrix
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Graduate GRE Math Problem #57: Subring of R[x] From Real Numbers
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Graduate S0(3)/SO(2) is isomorphic to the projective plane
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Graduate X x Y is a Banach Space: Conditions Explored
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High School Is There a Complete List of Prime Numbers Up to 2^34 Available Online?
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Undergrad Is it true for all n, Natural number?
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Graduate Einstein Theorem: Questions about Why b1co=0modp and boc1=0modp
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Undergrad Solve Matrices System: Help with I, A, b, C
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Undergrad Divisibility problem cant use module just induction
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Undergrad Can You Use Non-Pivot Rows to Scale a Matrix?
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Graduate How Does the Sign of a Permutation Product Relate to Its Components?
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High School Odd and Even Algebraic Equation for Whole Integers: Find the Range of 0 or 1
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Graduate What Determines the Isomorphism of G/X in Group Theory?
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Graduate Prove Perfect Lie Algebra of R^3 Euclidean Motions Isn't Semisimple
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Graduate Finding the Real Lie Algebra of SL(n,H) in GL(n,H)
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Graduate Some questions on representation theory
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Graduate Group of 3x3 Matrices w/o Center - Complex & Real Numbers
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Graduate Proving UT and TU Have Same Eigenvalues
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Undergrad Linear Algebra in Computer Engineering
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Graduate Dual Spaces of Vector Spaces: Conventions and Dual Bases
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Undergrad Are Two Successive Integers Always Coprime?
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Graduate How do I find an isomorphism between Sn+m and Zn x Zm?
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Graduate Q as Module over Z: Proving Unfinite Generating Ability
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Graduate General solution to diophantine equations
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Graduate Prove Either A or B is Singular Given AB is Singular
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Graduate Generating Converging Whole Numbers for (2x+3y)/(x+y) = e
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Graduate Are F5[x]/(x^2 + 2) and F5[x]/(x^2 +3) Isomorphic Polynomial Rings?
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Graduate Classification of Groups of Order (p^l)(q^m)(r^n)
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Undergrad Is 4^2007 + 2007^4 a Prime Number?
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Graduate Group homomorphisms between cyclic groups
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Graduate Irreducible Components in a Primary Decomposition
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Graduate Determination of irreducible polynomials over a given field
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Graduate Is the Fundamental Group of a Pointed Space Dependent on the Base Point?
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Undergrad Solving 3 Equations for w in Matrix Form
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Graduate Topology: simple connectedness and fundamental groups
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Graduate Proof of |HK| = (|H|*|K|)/|H∩K| for subgroups H and K in G
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Undergrad Linear Algebra Text: Suggestions and Recommendations
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Undergrad Basis of a subspace of a vectorspace
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Graduate Notation of ideals in ring theory
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Graduate Linear functional equivalence in vsp and subsp
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Graduate Understanding Dominance of Rational Maps in Algebraic Geometry
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High School Simple Question - It's been a while since College
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Graduate Rational Varieties: Finding Birational Maps & Inverses
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Graduate Composing permutations in cycle notation
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High School Intersection line of two planes
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Graduate Series of superimposed regular polygons
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Graduate Can a Fibonacci-like Series Prove Infinite Solutions for Diophantine Equation?
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Undergrad Solving Triples with xy=a(x+y) and b = xy+xz+yz
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Undergrad Algorithm for solving system of nonlinear equations
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David C. Lay's textbook, need info
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Graduate Coding in Quaternions and Matrices
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Graduate Sequence of circumscribed Cartesian coordinates
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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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