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.
Is There a User-Friendly Program for Checking Radical Ideals in Polynomials?
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What does Up to Isomorphism mean?
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Are Unitary Transformations Always Linear?
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Is Row Echelon Form an Upper Triangular Matrix?
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What is the relationship between det(M) and det(X+iY)?
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Plotting T2 and T1 with Variable q: Tips for Graphing Equations
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Is Squaring an Equation Adequate for Proof in Analysis?
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Is A/B' = A/B a Sufficient Condition for B' = B in Abelian Groups?
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Struggling with Linear Algebraic Groups? Need help finding simple examples?
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Can you give me a least squares example?
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Prove Existence of Real Invertible Matrix Q for A & B 2x2 Similar Matricies
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Tips and tricks for finding determinant of 3x3 matrix?
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Subspace of A and a matrix formed by row operation
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Linear Algebra Proof, Is it correct?
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Can Randomness Be Proven in Sequences of Numbers?
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LCM Proof: Check My Work and Find Errors | Easy Method
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Solution to an eigenvalue problem ?
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What is the significance of duality in vector spaces?
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Invariant Subspace: Understanding Definitions
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Is Every Element in a Finite Commutative Ring a Unit or Zero-Divisor?
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Need material to study Galois theory
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Silly Matrix Algebra/Regression Question
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Are Cyclic Groups with x^n = 1 the Only Finite Groups?
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What is the deal with this theorem? does anyone have any attempted
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Understanding Halmos's Definition of Tensor Product of Vector Spaces
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Physical interpretation of a determinate?
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Solutions of a particular equation
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Is the Range of a Countable Function also Countable?
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Proving Invertibility of a Matrix: Ax=e1
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Dirichlet Inverse: Find G in Terms of F
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Reduced row echelon form question
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Diophantine equation x^4 - y^4 = 2 z^2
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Is direct product of subgroups a subgroup?
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Question about monoid (Grothendieck's) group-completion
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How to probe the group SU(2) is simply connected?
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Isomorphisms and Actions: Can a Bijection Preserve Group Actions?
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Fields: Characteristic 0 and Beyond
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A,B similar <=> Rank(A) = Rank(B)?
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Question on group actions on vector spaces
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Understanding the Euclidean Algorithm for Finding GCDs in Q[sqrt 3]
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Simple Linear Algebra (determinant invertibility)
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How Do I Factorize Large Polynomials by Hand?
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Quick question about free variables
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Incidence matrix vs Adjacent Matrix
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Pseudorandom integer sequence having at least 15 adjacent differences > 36
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Irrational number approximation by a rational number
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Sum or upped bound of geometrico-harmonic series
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Quadratic Integers: Understanding the Theorem and Proving 32 = ab in Q[sqrt -1]
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Finding the Pattern of Triangular Set of Numbers
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How to Prove the Sum of \(1^k + 2^k + ... + (p-1)^k \mod p\)?
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What is an Isomorphism Between Banach Algebras?
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How Can One Define a Unitary Transformation Using an Alternative Relation?
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Background needed to understand number theory research papers.
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Calculate Rational/Irrational Powers of a Matrix
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How Can You Solve the Nonlinear System X'*X = A?
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What is the value of this infinite continued fraction?
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Orthogonal and symmetric matrices
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Polynomial equation in several variables
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UFDs: Lemma Implications Explained
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How can I prove the property of ranks for an n x m matrix with n < m?
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Differential Equations vs Linear Algebra
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Quaternions - Meaning and multiplication
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Solving a Cubic Equation with 2 Variables
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Some questions of field of quotients
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What is the correct way to multiply matrices?
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Reducing Normal Subgroup Calcs: Finite Groups Only?
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Determinant of this symmetric matrix (proof)
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Twin Primes: Occur in Pairs, 90k+11/13/17/19 Proven?
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Is There a Solution to a^3 + b^3 = 22c^3?
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Proving C(S,F) is a Subspace of F(S,F)
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Triangular numbers facturable into n*(n+k)
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Determinant of this special matrix
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Solving 3 Unknown Variables in Physics II
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How Can Experienced Mathematicians Tackle Challenging Number Theory Problems?
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Exponential simultaneous equation with powers
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Fundemental relation between group symmetries and periodicity?
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Prime division & repetition period
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How to Prove |G:H| = |G:K||K:H| for Quotient Groups?
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Formulating Linear Constraints on a Matrix
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Inner Product Spaces: Normal & Self Adjoint?
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Which Prime Divisors of 4n^2+4n-1 Are Congruent Modulo 8 to \pm 1?
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Fermat's Last Theorem, proof by Andrew Wiles
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Help with Factor Groups/Quotient Groups
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Functions homo/isomorphic to change in scale
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Help solving an equation for 3d modeling
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What Is the Largest Cyclic Subgroup of S_n?
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Simple Proof of Riemann's Hypothesis
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Prove: y=ξz if [x,y]=0 & [x,z]=0
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Showing every free module is Projective
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Transforming Triangle in 3 Space with z = 1-x-y
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Problems regarding group presentations and submodules
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Proving that m^270300 = 1 (mod 3121)
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How Can 1+1 Equal 0 in Certain Mathematical Contexts?
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The Wikipedia article Divergence, in the section Application to
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Question on cancellation property
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Definition of 'compatible' operation
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Finitely generated modules over a PID, and applications on abelian groups
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Solving the "Black Box" Puzzle with Math Lovers
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Definition of the Determinant of a Matrix
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Solution: ▽ · F = −3xy / (x2 + y2)^5/2
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