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.
Adjoint of a linear operator Definition
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Is 19 = x^2 mod p solvable? p=68659
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What is the difference between SO(3,1) and SO(1,3)?
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How to make a matrix B such that AB=BA
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Commutative Algebra: Study of Rings & Groups
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Proof that Non-Singularity of I-AB Implies Non-Singularity of I-BA
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Category Theory: ?What is up with these Diagrams?
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Finding Subgroups of Size N/2 in {1, 2,..., N} with Property m<=N-n
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Proving Infinitely Many Primes p=3 mod 4
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Similar matrix and characteristic polynomial
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How can we prove a given identity?
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Proving Linear Independence and Span of D
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How do I determine the value of L^n (3, 5) as n approaches infinity?
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Combinatorial group and representation theory?
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Proving W is a Subspace of V: Let u & v be Vectors in V
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What Is the Error in My Gram-Schmidt Calculation?
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What does 'M symmetric' mean in the context of matrices?
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Lie Groups and Representation theory?
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Transforming Linear Algebra: How to Find the Matrix Representation
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Please explain isomorphism with respect to vector spaces.
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Math: Solving Linear Functionals w/ Riesz Representation
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Understanding Repeating Decimals: Standard Notation & Behaviour
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Maximal Subspaces in Vector Spaces: Using Zorn's Lemma to Prove Existence
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Finite Dimensional Representation of SU(2)
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Symbol Î in Number Theory: Prove & Math Symbol Index
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Abelian groups from the definition of a field
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An algebraic proof that a convex quadrilateral has intersecting diagonals
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Determine if H is a Subspace of Mnxn: Let A be an nxn Matrix
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Solving Abstract Algebra Problem: Proving Isomorphism & Listing Generators
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Confirming the Order of Permutation: LCM = 8
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Proof on homogeneous equations
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Simplifying Matrix Multiplication: A Beginner's Guide
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Is there an elegant way to find the singularities of an algebraic variety
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Is Every Group Isomorphic to a Subgroup of GLn(R)?
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Finding Inverse of A Matrix: Example A
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What Is Linear Algebra and How Is It Used?
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Concept of a basis for a vector space
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Quadratic forms of symmetric matrices
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Groups masquerading as isomorphic
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Anticommuting Ring that only has left or right inverse?
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Solve Linear Combinations: -9 - 7x - 15x^2
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How Does the Nullspace Dimension Relate to Matrix Products AB?
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Is Jacobian Conjecture still open?
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The limit of a factoring algorithm
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Is the Diamond Lemma related to representation theory in Hopf algebras?
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One more transfinite induction problem
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Explaining Riemann's Hypothesis: A Comprehensive Guide
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Polynomials and function space over fields
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Why is the GCD the Monic Generator of Ideals in Polynomial Rings?
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Zero divisors: continuous functions over R
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Proving gcd(r,s)=1 with gcd(r^2-s^2, r^2+s^2)
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Decoding some prime number conjectures
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Another infinite-dimensional basis question using transfinite induction
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G2 Representation Theory: A Simple Question on Symmetry & Dual Groups
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Solving Determinants: Tips for Midterm Exam
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Crames Rule and equation of a plane
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Can anybody help me in coset decoding?
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Why Is the Geometric Product in Geometric Algebra Assumed to Be Associative?
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Galois theory text for second semester undergrad algebra
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Measure theory and number theory?
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Bilinear forms & Symmetric bilinear forms
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Soluble Groups in Algebra: What Are They and What Branch Do They Fall Under?
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Newton's Interpolation, numerical methods question
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What is Riemann's hypothesis and can it be explained in simple terms?
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How to prove rank(A+B)<=rankA+rankB ?thanks
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My Algebra Questions: Answers & Updates
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What Makes Prime Numbers So Mysterious?
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Proving H is Normal: Let G be an Arbitrary Group
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SU(2) Rotation Representation: Why ω/2?
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Is Calculus a Prerequisite for Abstract Algebra?
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Proof: integers divisibility property
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Group generated by Z_p and Z_q ?
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Positive definite real quadratic forms
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Understanding an Unnamed Theorem and the Primary Decomposition Theorem
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Is there a faster way to do this?
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Congruences with Fractions: Understanding the Definition and Examples
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What Is the Falk Scheme for Matrix Multiplication?
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Commutative and homological algebra?
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Understanding Vector Dot Product and Gaussian vs. Gauss-Jordan Elimination
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Irreducible Polynomials p 5 degree 4
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Eigenspaces, eigenvalues and eigenbasis
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Proving Induced Homomorphism from Normal Subgroup
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Equivalent Conditions for Invertible nxn Matrices
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How Do You Prove This Recurrence Sequence Conjecture?
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Prove Linear Dependence for Set of Vectors w/ Zero Vector
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What is the meaning of R^n in Linear Algebra?
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Why y=2x+1 is not a vector space?
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Weak/strong group identity axiom
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Proving Properties of Non-Square Matrices
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Counting Equivalent Classes in Arbitrary Groups
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Help with Induction Proofs for Beginners
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How can I tell if this is a vector space?
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What Happens to Av^j When j Exceeds Rank r in SVD?
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Is (123) equal to the identity element in S_3?
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Semi-Simple Lie Algebra Representations
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Solve Group Theory Problem: Proving HuX is G
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Order of GL(n, Z/p) Group & Sylow p-Subgroups
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Prime Order Groups: Understanding Lagrange's Theorem and its Corollary
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Commutative rings with identity
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Every finite subgroup of isometries of n-dimensional space
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