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 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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Graduate Interesting method for prime discovery?
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Graduate Finding the Inv. of a rank deficient Matrix
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