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 How can we prove a given identity?
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Graduate Proving Linear Independence and Span of D
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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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