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.
Question re. tensor product of v. spaces
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Are Natural Bijections Only About Terminology in Category Theory?
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Disproved the Riemann Hypothesis?
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Eigenvalues of AX - XA: Finding Eigenvectors for a Real 2x2 Symmetric Matrix
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Associated Homogeneous System definition
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Counting Subsets of A with k Elements and Sum of r
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Understanding Determinants of Matrices over Commutative Rings
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Number 3 Appearing 1-1000: Counting Stats
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Number of partitions of 2N into N parts
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Can Elements and Their Inverses Occupy Distinct Cosets in Nonabelian Groups?
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Solutions of Ax = b (for singular A)
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Difference between a spanning and linear combination?
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Can Eigenvalues and Determinants Determine the Elements of a Square Matrix?
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Have You Noticed the Symmetry of Primes in the Sieve of Eratosthenes?
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Cross product of complex vectors
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Are All Units in Z[sqrt(2)] of the Form +/- (1 +/- sqrt(2))^n?
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Spinors, vectors and quaternions
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Prove Irreducibility of f(x) with Eisenstein's Criterion
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Can a Transformation Matrix be one-to-one and not onto?
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Efficient way to solve basic high school level number theory questions?
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Novel Generalization Of Square Triangular Nos?
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Simple Proof of Beal's Conjecture
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A question about the Exterior Product in Yang-Mills theory
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Proof That A & A^T Have the Same Nullspace (Kernel)
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Set of vector which are solution to 2 homogeneous systems
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Proving Non-Diagonal Matrix Exponential is Diagonal - Ian's Problem
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Transforming Matrix Addition to Multiplication without Exponentiation
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Generating group homomorphisms between Lie groups
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Is there a course available for the Riemann Hypothesis (RH)?
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Linearly independent field homomorphisms.
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Is a Cancellative Semigroup the Same as a Group?
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What is the Spectral Radius of Partitioned Matrices M1 and M2?
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Proving that for nilpotent A, A+I is invertible
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Why is diagonalizing a matrix beneficial?
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Why would a solution not exist for an overdetermined system?
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Gaussian Elimination: Solving Systems of Linear Equations
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Physical meaning of orthonormal basis
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How to prove this congruent proof?
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Proving Grassmann's Algebra Using Free Vector Spaces
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Finding a Linear Transform for Contraction of Vectors
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Movement of a vector when multiplied by a matrix
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Jacobian determinant and volume change
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Finding Orthonormal Basis of Hilbert Space wrt Lattice of Subspaces
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Transcendental Values for sin(Q*pi)
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Matrix representation of a group
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Solution to Forbidden Equation: x=1 and 2
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Does this reasoning ever reach infinity? 0<1<2<3<4<5
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Orthogonal Complement to the Kernel of a Linear Transformation
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How to know whether the least squares approximation exitsts.
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Is the trivial solution a unique solution?
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Homomorphisms as structure-preserving maps
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How Does the Circle Group Influence Linear Transformations in a Sin-Cos Basis?
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Prove if a belongs R, then (a^2)^1/2= |a|?
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Mathematica: Eigenvalues for a large symbolic matrix
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Space of continuous functions C[a,b]
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A stupid question on norm and trace of fields
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Proving Only 2 Positive Integer Solutions for x3 = y2 – 15
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HELP Find all abelian groups (up to isomorphism)
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Nonsingularity of matrix of squares (help)
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How is a non-quadratic matrix singular?
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Understanding the Proof: Factorial of 0 is 1
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Solutions to equations in the padic integers (rationals)
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Infinite-dimensional vector spaces and their bases
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Isomorphism of Hom_K(V,K) and Hom_K(V⊗V,K)
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Every nonzero vector space can be viewed as a space of functions
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Spaces of continuous functions and Wronskians
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Why does commuting matrices have same eigenvectors?
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How to find vector coordinates in non-orthogonal systems?
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Sum over primes asymtotics
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Prime Factorial Conjecture: Investigating p! Mod p2 for Prime Numbers
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How Can Optimal Bounds for Sum of Reciprocals Between Two Numbers Be Determined?
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Is the Goldbach Conjecture part of a larger pattern?
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Is a Cayley Table a Reliable Indicator of a Finite Set Being a Group?
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Is the Proof for Rank(T) = Rank(L_A) Correct?
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Why Is There an Isomorphism on Sets If They Lack Algebraic Structure?
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How to Prove the Limit of a Logarithmic Function Ratio?
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Hensel's lemma (Understanding it's Proof)
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Division algorithm in A[x] (A NOT a field)
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Is Pi More Complex than E? Insights from Number Theory
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Rational Numbers: Is Any Whole Number a Rational?
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Is the Twin Prime Conjecture Finally Proven? A Scientist's Perspective
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Product of reflection matrices without eigenvalue 1
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What Matrix is This? References for Structured Matrix
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Determinants By Row Reduction/Row Echelon Form
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Can a New Formula Factorize Large Prime Products in a Single Step?
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Anyone know how to solve a quintic or quartic?
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Do I Understand Parametric Equations for Lines and Planes Correctly?
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Quadratic forms with p-adic coefficient
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ALL TITLE:Is k[x^2,x^3] a Dedekind domain?
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Sequence of integers and arithmetic progressions
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Is a Matrix Invertible in Modular Arithmetic if det(A) and n are Coprime?
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Understand Vectors: Math Made Simple
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Finding Coefficients for Simple Partial Fraction Formula | Mathematica Help
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Understanding Tensor Products: From Dyads to Triads and Beyond
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Integral solution to pi numeric result
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Solving Rational Dependence in Vector Spaces
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What is the concrete meaning of the imaginary number i in math?
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Explaining the Transitivity of SU(n) Action on U(n)/O(n)
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Is NH Always a Normal Subgroup of G When N and H Are Normal Subgroups?
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Compact Operators on a Hilbert Space
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