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 Physical representation of irrational numbers
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Graduate Simple Proof of Fermat's Last Theorem and Beal's Conjecture
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Graduate Universal morphism to forgetful functor Ring->Ab
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Graduate Can a matrix of linear forms always be written as the sum of rank one matrices?
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Graduate Is V* ≠ {0} in Normed Spaces Easily Demonstrable?
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Graduate Exploring Prime Numbers & Square Roots
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Graduate Can Rank Two Tensors Be Formed Using Dot Products?
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Graduate Prime Indices & the Divisors of (p'_n - 1): A Lattice-Related Question
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Graduate Why modulo m1 and modulo m2 implies modulo [m1, m2]
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Undergrad Proving the Solution a=4 and n=2 for a^(1/n) = √a; a>0, n>1
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Graduate Kronecker Product: Solving AA` with w & D
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Graduate Solving a Tough Math Problem: Any Ideas?
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Undergrad Why is one root rejected when solving equations with multiple solutions?
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Graduate Solving System of 2n Equations
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Graduate Calculating Lie-Algebra Branching Rules
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Undergrad How to Convert Grammar to Chomsky Normal Form?
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Graduate Hamel basis and infinite-dimensional vector spaces
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Graduate Finite Prime Ideals in Noetherian Ring - Atiyah-McDonald
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Graduate Dual basis and differential forms
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Undergrad Anyone have any suggestions on books on chebyshev polynomials?
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Graduate Where Can I Find a Good Reference Book on Group Theory in Physics?
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Graduate Efficiently Solving Large Equation Systems in Particle Penetration Calculations
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Graduate Can Kummer Extensions of p-adics Prove a Contradiction?
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Graduate Is the Series Sum of Cubes Necessarily Convergent?
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Graduate Elegant Solution for the Snooker ball Problem
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Graduate Condition for a matrix to be Positive semi-definite
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Graduate Relatively Prime Quadratic Integers
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Graduate Riemann Hypothesis and Quantum Mechanics
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High School True Randomness - What Does it Mean?
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Graduate Understanding Additive Factor Group Q/Z
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Undergrad Relationship between determinants and basis formation
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Graduate Finite Dimensional Inner-Product Space Equals its Dual?
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Undergrad What's the difference between complex numbers and vectors?
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Graduate Proof of Basis Rep Theorem: Let n=a_0k^s+...+a_tk^t
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Undergrad Can a Quintic Polynomial be Factored Using a Nonlinear System?
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Undergrad Calculating the position of the 'other' focus point of an orbit
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Graduate How can the Langford-Skolem problem be solved?
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Undergrad Could this be a demonstrtion of following lucky strikes?
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Graduate How Do You Apply the Alt Operator to a Differential 2-Form in R^4?
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Undergrad Determinant of a symmetric matrix
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Graduate How Do You Derive the Least Squares Solution in Linear Regression?
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Undergrad I'm curious about a number series
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Graduate Semilinear Transformation, Kernel
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Graduate Rotations in spherical coordinates
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Graduate Theorem about p-groups, similar to 3rd Sylow Theorem
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Undergrad Fermat's Last Theorem - Exponent Three
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Graduate Why is T* the definition of an adjoint operator in functional analysis?
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Graduate Proving Group Equality for Normal Subgroups
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Graduate Proving Frobenius Norm of Matrix A
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Graduate Is y'' = y solvable by using a homomorphism and understanding its kernel?
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Graduate Find all solutions to 3^a - 1 = 2b^2 - B.M.O. problem
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Undergrad Testing Change of Basis in Linear Operator
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Graduate Coordinate System Transformations
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Undergrad What am I doing wrong with finding the equation of this plane?
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Graduate Cholesky decomp vs A = L'DL decomp.
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Undergrad Finding determinant with upper triangular matrix
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Graduate Linear Algebra Help for Norske-Norske Petrol Company
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High School A postulate of boolean algebra: x+(y.z) = (x+y).(x+z)
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Undergrad Dimension of 7x7 Matrices w/ Zero Trace: 48
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Undergrad Is there more than one possibility for eigenvectors of a single eigenvalue
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Graduate Null Space and Eigenvalues/Eigenvectors
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Undergrad The VERY last part of finding an eigenvector
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Graduate How can I accurately continue the zeta function to the entire complex plane?
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Graduate Riemann Hypothesis: Explaining \zeta(s) & Diagrams
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Graduate Existance of solutions to set of quadratic equations
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Graduate Help with 3 proofs (integers/diophantine equations)
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Graduate General Questions on Polynomials, Vectors, and Matrices
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Graduate Extracting yaw, pitch, roll from transformation matrix
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Graduate Proving a solution exist? (mod p)
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Graduate Measuring how similar to a parallelogram
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Graduate Visualizing the Dot Product Inequality of a, b & c in R^d
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Graduate 2 dimensional plane of a 3 dimensional space
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Undergrad Divisibility rules using sum of digits
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Graduate Metric that isn't translation-invariant?
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Undergrad Computeing the coordinate vector
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Undergrad Why Are 3x3 Systems with Arithmetically Increasing Constants Always Infinite?
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Undergrad Finding A Matrix, given eigenvalues, and eigenvectors
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High School Understanding Vector Components and Negativity: A Scientific Explanation
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Graduate What does the notation S_4(2) mean?
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Graduate Similarity Transformation of Matrices: Decide w/o Eigenvectors
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Undergrad What is the composition of T and T in terms of linear transformations?
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Graduate Derivatives of functions with matrices
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Undergrad Cross product order of operations
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Undergrad How Do You Find the Modular Multiplicative Inverse?
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Graduate How Can You Determine Roots of a Quadratic in Any Field?
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Undergrad Can someone tell me what this is called?
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Graduate Question about order of an element
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Undergrad Finding matrices with very specific properties
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Graduate What is an Image in Abstract Algebra?
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Undergrad Help proving gcf(a,b) = gcf(a-b,2b-a)?
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Graduate Can X^4+nY^4 Always Produce a Prime Number?
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Graduate Using the First Isomorphism Theorem
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Graduate Which Positive Integers Can Be Written as x4 + 4y4 to Form Prime Numbers?
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Undergrad Testing the Usefulness of Prime Number Test
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Graduate Prove PGL(V) Acts 2-Transitively on P(V) Projective Space
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Graduate Here f:Z36 to Z4 x Z9 is group isomorphism given by f(n+36Z)= (n+4Z,
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Graduate Shilov's Linear Algebra determinant notation.
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Graduate Orthogonal Matrix: Properties & Conditions
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Graduate Is (2^(p-1)) * ((2^p) - 1) a perfect number if (2^p) -1 is prime?
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Graduate Proving Sum of Two Primes is Never Twice a Prime
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