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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 determine the value of L^n (3, 5) as n approaches infinity?
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Graduate Combinatorial group and representation theory?
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Undergrad Proving W is a Subspace of V: Let u & v be Vectors in V
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Graduate What Is the Error in My Gram-Schmidt Calculation?
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Undergrad What does 'M symmetric' mean in the context of matrices?
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Graduate Lie Groups and Representation theory?
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Graduate Transforming Linear Algebra: How to Find the Matrix Representation
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Undergrad Please explain isomorphism with respect to vector spaces.
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Graduate Math: Solving Linear Functionals w/ Riesz Representation
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High School Understanding Repeating Decimals: Standard Notation & Behaviour
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High School What is the term for a linear equation that does not lie in a single plane?
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Graduate Maximal Subspaces in Vector Spaces: Using Zorn's Lemma to Prove Existence
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Graduate Finite Dimensional Representation of SU(2)
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Undergrad Symbol Î in Number Theory: Prove & Math Symbol Index
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Graduate Abelian groups from the definition of a field
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Undergrad An algebraic proof that a convex quadrilateral has intersecting diagonals
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Graduate Determine if H is a Subspace of Mnxn: Let A be an nxn Matrix
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Graduate Solving Abstract Algebra Problem: Proving Isomorphism & Listing Generators
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Undergrad Confirming the Order of Permutation: LCM = 8
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Undergrad Proof on homogeneous equations
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Graduate What is the significance of SU(2,4) in Group Theory?
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High School Simplifying Matrix Multiplication: A Beginner's Guide
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Undergrad Solving a Matrix: Finding Positive & Negative Solutions
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Graduate Is there an elegant way to find the singularities of an algebraic variety
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Graduate Is Every Group Isomorphic to a Subgroup of GLn(R)?
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Undergrad Finding Inverse of A Matrix: Example A
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Undergrad What Is Linear Algebra and How Is It Used?
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Undergrad Concept of a basis for a vector space
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Undergrad Quadratic forms of symmetric matrices
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Graduate Groups masquerading as isomorphic
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Graduate Anticommuting Ring that only has left or right inverse?
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Undergrad Solve Linear Combinations: -9 - 7x - 15x^2
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Undergrad How Does the Nullspace Dimension Relate to Matrix Products AB?
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High School Determining Vector Directions: u & v
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Undergrad Are These Subsets Subspaces of R^2?
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Graduate Is Jacobian Conjecture still open?
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Undergrad The limit of a factoring algorithm
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Graduate Is the Diamond Lemma related to representation theory in Hopf algebras?
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Graduate One more transfinite induction problem
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Graduate Explaining Riemann's Hypothesis: A Comprehensive Guide
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Graduate Polynomials and function space over fields
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Graduate Why is the GCD the Monic Generator of Ideals in Polynomial Rings?
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Graduate Zero divisors: continuous functions over R
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Undergrad Proving gcd(r,s)=1 with gcd(r^2-s^2, r^2+s^2)
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Graduate Decoding some prime number conjectures
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Graduate Find the equivalent intersection point of multi lines in 3D space
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Graduate Another infinite-dimensional basis question using transfinite induction
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Graduate G2 Representation Theory: A Simple Question on Symmetry & Dual Groups
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Undergrad Solving Determinants: Tips for Midterm Exam
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Undergrad Crames Rule and equation of a plane
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Undergrad Can anybody help me in coset decoding?
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Graduate Why Is the Geometric Product in Geometric Algebra Assumed to Be Associative?
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Undergrad Galois theory text for second semester undergrad algebra
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Graduate Measure theory and number theory?
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Graduate Defining Group Multiplication in Particle Physics
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Undergrad Gauss Row Operations: Solving by Hand?
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Graduate Bilinear forms & Symmetric bilinear forms
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Undergrad Soluble Groups in Algebra: What Are They and What Branch Do They Fall Under?
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Undergrad Newton's Interpolation, numerical methods question
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Graduate What is Riemann's hypothesis and can it be explained in simple terms?
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Undergrad How to prove rank(A+B)<=rankA+rankB ?thanks
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Undergrad My Algebra Questions: Answers & Updates
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Undergrad What Makes Prime Numbers So Mysterious?
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Graduate Proving H is Normal: Let G be an Arbitrary Group
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Graduate SU(2) Rotation Representation: Why ω/2?
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Undergrad Is Calculus a Prerequisite for Abstract Algebra?
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Undergrad Proof: integers divisibility property
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Graduate Group generated by Z_p and Z_q ?
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Graduate Positive definite real quadratic forms
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Graduate Understanding an Unnamed Theorem and the Primary Decomposition Theorem
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Graduate Solving Polynomials with Degree <= 10: Finding Eigenvalues & Eigenspaces
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Graduate Is there a faster way to do this?
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Graduate Congruences with Fractions: Understanding the Definition and Examples
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High School What Is the Falk Scheme for Matrix Multiplication?
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Graduate Commutative and homological algebra?
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Undergrad Understanding Vector Dot Product and Gaussian vs. Gauss-Jordan Elimination
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Graduate Irreducible Polynomials p 5 degree 4
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Graduate Eigenspaces, eigenvalues and eigenbasis
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Undergrad Calculate Vector with Magnitude & Direction Given
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Graduate Proving Induced Homomorphism from Normal Subgroup
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Graduate Equivalent Conditions for Invertible nxn Matrices
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Undergrad Can Gaussian Elimination Solve a System with Identical Equations?
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Graduate How Do You Prove This Recurrence Sequence Conjecture?
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Undergrad Prove Linear Dependence for Set of Vectors w/ Zero Vector
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Undergrad What is the meaning of R^n in Linear Algebra?
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Undergrad Why y=2x+1 is not a vector space?
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Graduate Weak/strong group identity axiom
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Graduate Proving Properties of Non-Square Matrices
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High School Exponents relating to linear equations- help
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Graduate Counting Equivalent Classes in Arbitrary Groups
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Undergrad Help with Induction Proofs for Beginners
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Graduate How can I tell if this is a vector space?
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Graduate What Happens to Av^j When j Exceeds Rank r in SVD?
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Graduate Is (123) equal to the identity element in S_3?
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Undergrad Patterns in Matrices: P^n and S^n Calculations
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Graduate Semi-Simple Lie Algebra Representations
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Graduate Solve Group Theory Problem: Proving HuX is G
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Graduate Order of GL(n, Z/p) Group & Sylow p-Subgroups
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Graduate Prime Order Groups: Understanding Lagrange's Theorem and its Corollary
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Graduate Commutative rings with identity
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