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 How Do I Factorize Large Polynomials by Hand?
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Undergrad Quick question about free variables
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Undergrad Incidence matrix vs Adjacent Matrix
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Graduate What Distinguishes Rings, Fields, and Spaces in Mathematics?
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Graduate Pseudorandom integer sequence having at least 15 adjacent differences > 36
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Undergrad Irrational number approximation by a rational number
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Graduate Sum or upped bound of geometrico-harmonic series
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Graduate Quadratic Integers: Understanding the Theorem and Proving 32 = ab in Q[sqrt -1]
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Undergrad Finding the Pattern of Triangular Set of Numbers
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Graduate Can any matrix be considered a tensor?
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Graduate How to Prove the Sum of \(1^k + 2^k + ... + (p-1)^k \mod p\)?
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Graduate What is an Isomorphism Between Banach Algebras?
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Graduate How Can One Define a Unitary Transformation Using an Alternative Relation?
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Graduate Background needed to understand number theory research papers.
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Graduate Calculate Rational/Irrational Powers of a Matrix
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Graduate How Can You Solve the Nonlinear System X'*X = A?
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Graduate What is the value of this infinite continued fraction?
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Undergrad Orthogonal and symmetric matrices
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Graduate Polynomial equation in several variables
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Graduate UFDs: Lemma Implications Explained
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Graduate How can I prove the property of ranks for an n x m matrix with n < m?
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Undergrad Differential Equations vs Linear Algebra
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Graduate Quaternions - Meaning and multiplication
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Graduate Solving a Cubic Equation with 2 Variables
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Graduate Some questions of field of quotients
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High School What is the correct way to multiply matrices?
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Graduate Reducing Normal Subgroup Calcs: Finite Groups Only?
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Undergrad Determinant of this symmetric matrix (proof)
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Graduate Twin Primes: Occur in Pairs, 90k+11/13/17/19 Proven?
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Graduate Is There a Solution to a^3 + b^3 = 22c^3?
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Graduate Proving C(S,F) is a Subspace of F(S,F)
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Graduate Triangular numbers facturable into n*(n+k)
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Graduate Determinant of this special matrix
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High School Solving 3 Unknown Variables in Physics II
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Graduate How Can Experienced Mathematicians Tackle Challenging Number Theory Problems?
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Undergrad Proving Impossible: Equivalent Homogeneous Systems of Linear Equations
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Undergrad Exponential simultaneous equation with powers
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Graduate Fundemental relation between group symmetries and periodicity?
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Graduate Prime division & repetition period
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Graduate How to Prove |G:H| = |G:K||K:H| for Quotient Groups?
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Graduate Formulating Linear Constraints on a Matrix
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Graduate Inner Product Spaces: Normal & Self Adjoint?
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Graduate Which Prime Divisors of 4n^2+4n-1 Are Congruent Modulo 8 to \pm 1?
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Graduate Fermat's Last Theorem, proof by Andrew Wiles
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Undergrad Help with Factor Groups/Quotient Groups
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Graduate Functions homo/isomorphic to change in scale
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Undergrad Help solving an equation for 3d modeling
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Graduate What Is the Largest Cyclic Subgroup of S_n?
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Graduate Simple Proof of Riemann's Hypothesis
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Graduate Prove: y=ξz if [x,y]=0 & [x,z]=0
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Graduate Showing every free module is Projective
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Graduate Transforming Triangle in 3 Space with z = 1-x-y
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Graduate Problems regarding group presentations and submodules
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Graduate Proving that m^270300 = 1 (mod 3121)
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Undergrad How Can 1+1 Equal 0 in Certain Mathematical Contexts?
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Graduate The Wikipedia article Divergence, in the section Application to
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Graduate Question on cancellation property
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Graduate Definition of 'compatible' operation
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Graduate Finitely generated modules over a PID, and applications on abelian groups
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Undergrad Gram Schmidt Method (calculating orthogonal vector set)
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Graduate Solving the "Black Box" Puzzle with Math Lovers
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Undergrad Definition of the Determinant of a Matrix
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Graduate Solution: ▽ · F = −3xy / (x2 + y2)^5/2
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Graduate X^3=x => R is a commutative ring
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Graduate Is this number algebraic or transcendental?
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Graduate Norm Satisfying the Parallelogram Law
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Graduate Restriction of SO(N) to 2 dim subspaces
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Graduate Are there any books with solved exercises for studying Lie Algebras on your own?
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Graduate Solvable Group: Need Help Understanding Fraleigh's Exercise
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Graduate Are Principal Ideals of Associates Equal?
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Graduate Rotation of coordinate system mistake or paradox?
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Graduate Subgroup of given order of an Abelian group
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Undergrad Finding the Smallest Possible Value of N in a Simple Number Theory Problem
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Graduate Decomposing Motions: Solving the T:R(4) to R(4) Question
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Graduate Approximation of functions by Gaussians
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Undergrad Why Are Coefficients of x Plotted on the y-Axis in Linear Combinations?
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Graduate Conjecture: Solving 32n^2 + 3n = 0 mod P for odd P
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Graduate Model theory, category theory and universal algebra
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Graduate Deriving angular velocity vector algebra?
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Undergrad Distinct Eigenvalues: Can Zero be an Eigenvalue?
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Graduate Understanding in abstract algebra
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Graduate Can You Solve This Complex Integer Equation System?
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Graduate Criterion for Irreducibility of a polynomial in several variables?
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Graduate Where Can I Find a Purely Algebraic Proof of the Fundamental Theorem of Algebra?
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Graduate Equivalent bases for Vector Spaces over Complexes.
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Graduate Show that for a symmetric or normal matrix
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Graduate Cross product invariant under SO(3)-matrices?
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Graduate Isomorphism as an Equivalence Relation on Sets: A Proof
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Undergrad Idempotents: What Are They & Similarity of Matrices
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Graduate Multi-objective recursive least squares
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Graduate Understanding Homomorphisms: Onto vs Into in Group Theory
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Graduate Is M_n(K) isomorphic to K \otimes_F M_n(F) as F-algebras?
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Undergrad Linear transformations with functions
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Graduate Galois Extension of Q isomorphic to Z/3Z
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Graduate Groups of permutations and cyclic groups
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Graduate Relationship between determinant and trace
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Graduate Why doesnt Bertrand's postulate imply Legendre's conjecture?
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High School What are determinants useful for?
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Undergrad Please help me understand how to do this linear algebra proof
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Graduate Understanding Shankar's Principles of QM: Changing Basis of Operators
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