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.
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Graduate Category Theory: ?What is up with these Diagrams?
- LukeD
- · Replies 11 ·
Graduate Finding Subgroups of Size N/2 in {1, 2,..., N} with Property m<=N-n
- al-mahed
- · Replies 3 ·
Undergrad Proving Infinitely Many Primes p=3 mod 4
- mathusers
- · Replies 8 ·
Graduate Similar matrix and characteristic polynomial
- Eric Nelson
- · Replies 7 ·
Undergrad How can we prove a given identity?
- mathslover
- · Replies 1 ·
Graduate Proving Linear Independence and Span of D
- andytoh
- · Replies 2 ·
Undergrad How do I determine the value of L^n (3, 5) as n approaches infinity?
- salman213
- · Replies 5 ·
Graduate Combinatorial group and representation theory?
- pivoxa15
- · Replies 3 ·
Undergrad Proving W is a Subspace of V: Let u & v be Vectors in V
- ECE
- · Replies 3 ·
Graduate What Is the Error in My Gram-Schmidt Calculation?
- helpm3pl3ase
- · Replies 9 ·
Undergrad What does 'M symmetric' mean in the context of matrices?
- AlphaNumeric2
- · Replies 3 ·
Graduate Lie Groups and Representation theory?
- pivoxa15
- · Replies 6 ·
Graduate Transforming Linear Algebra: How to Find the Matrix Representation
- student64
- · Replies 5 ·
Undergrad Please explain isomorphism with respect to vector spaces.
- mrroboto
- · Replies 4 ·
Graduate Math: Solving Linear Functionals w/ Riesz Representation
- sharkboy
- · Replies 13 ·
High School Understanding Repeating Decimals: Standard Notation & Behaviour
- ebaywannabe
- · Replies 18 ·
High School What is the term for a linear equation that does not lie in a single plane?
- RVM45
- · Replies 8 ·
Graduate Maximal Subspaces in Vector Spaces: Using Zorn's Lemma to Prove Existence
- mathboy
- · Replies 10 ·
Graduate Finite Dimensional Representation of SU(2)
- kakarukeys
- · Replies 2 ·
Undergrad Symbol Î in Number Theory: Prove & Math Symbol Index
- jbowers9
- · Replies 3 ·
Graduate Abelian groups from the definition of a field
- dodo
- · Replies 12 ·
Undergrad An algebraic proof that a convex quadrilateral has intersecting diagonals
- LukeD
- · Replies 4 ·
Graduate Determine if H is a Subspace of Mnxn: Let A be an nxn Matrix
- student64
- · Replies 2 ·
Graduate Solving Abstract Algebra Problem: Proving Isomorphism & Listing Generators
- WM07
- · Replies 1 ·
Undergrad Confirming the Order of Permutation: LCM = 8
- WM07
- · Replies 3 ·
Undergrad Proof on homogeneous equations
- toxi
- · Replies 1 ·
Graduate What is the significance of SU(2,4) in Group Theory?
- princeton118
- · Replies 5 ·
High School Simplifying Matrix Multiplication: A Beginner's Guide
- mrroboto
- · Replies 1 ·
Undergrad Solving a Matrix: Finding Positive & Negative Solutions
- helpm3pl3ase
- · Replies 1 ·
Graduate Is there an elegant way to find the singularities of an algebraic variety
- frb
- · Replies 4 ·
Graduate Is Every Group Isomorphic to a Subgroup of GLn(R)?
- copper-head
- · Replies 5 ·
Undergrad Finding Inverse of A Matrix: Example A
- mrroboto
- · Replies 7 ·
Undergrad What Is Linear Algebra and How Is It Used?
- The_Z_Factor
- · Replies 12 ·
Undergrad Concept of a basis for a vector space
- mrroboto
- · Replies 2 ·
Undergrad Quadratic forms of symmetric matrices
- mathusers
- · Replies 6 ·
Graduate Groups masquerading as isomorphic
- MathsManiac
- · Replies 5 ·
Graduate Anticommuting Ring that only has left or right inverse?
- Mr.Brown
- · Replies 3 ·
Undergrad Solve Linear Combinations: -9 - 7x - 15x^2
- _Haemon_
- · Replies 2 ·
Undergrad How Does the Nullspace Dimension Relate to Matrix Products AB?
- radou
- · Replies 14 ·
High School Determining Vector Directions: u & v
- needhelp83
- · Replies 18 ·
Undergrad Are These Subsets Subspaces of R^2?
- needhelp83
- · Replies 3 ·
Graduate Is Jacobian Conjecture still open?
- adl
- · Replies 4 ·
Undergrad The limit of a factoring algorithm
- Eus
- · Replies 11 ·
Graduate Is the Diamond Lemma related to representation theory in Hopf algebras?
- pivoxa15
- · Replies 3 ·
Graduate One more transfinite induction problem
- andytoh
- · Replies 9 ·
Graduate Explaining Riemann's Hypothesis: A Comprehensive Guide
- ramsey2879
- · Replies 8 ·
Graduate Polynomials and function space over fields
- kritimehrotra
- · Replies 5 ·
Graduate Why is the GCD the Monic Generator of Ideals in Polynomial Rings?
- kritimehrotra
- · Replies 6 ·
Graduate Zero divisors: continuous functions over R
- teleport
- · Replies 3 ·
Undergrad Proving gcd(r,s)=1 with gcd(r^2-s^2, r^2+s^2)
- awesome220
- · Replies 3 ·
Graduate Decoding some prime number conjectures
- bonzion
- · Replies 8 ·
Graduate Find the equivalent intersection point of multi lines in 3D space
- zyh
- · Replies 3 ·
Graduate Another infinite-dimensional basis question using transfinite induction
- andytoh
- · Replies 7 ·
Graduate G2 Representation Theory: A Simple Question on Symmetry & Dual Groups
- Jim Kata
- · Replies 2 ·
Undergrad Solving Determinants: Tips for Midterm Exam
- salman213
- · Replies 4 ·
Undergrad Crames Rule and equation of a plane
- succubus
- · Replies 3 ·
Undergrad Can anybody help me in coset decoding?
- kirti.1127
- · Replies 3 ·
Graduate Why Is the Geometric Product in Geometric Algebra Assumed to Be Associative?
- ObsessiveMathsFreak
- · Replies 29 ·
Undergrad Galois theory text for second semester undergrad algebra
- mcampbell
- · Replies 3 ·
Graduate Measure theory and number theory?
- pivoxa15
- · Replies 18 ·
Graduate Defining Group Multiplication in Particle Physics
- quantumfireball
- · Replies 2 ·
Undergrad Gauss Row Operations: Solving by Hand?
- THE 1
- · Replies 1 ·
Graduate Bilinear forms & Symmetric bilinear forms
- kingwinner
- · Replies 3 ·
Undergrad Soluble Groups in Algebra: What Are They and What Branch Do They Fall Under?
- pivoxa15
- · Replies 9 ·
Undergrad Newton's Interpolation, numerical methods question
- albema
- · Replies 3 ·
Graduate What is Riemann's hypothesis and can it be explained in simple terms?
- Dazzlex
- · Replies 29 ·
Undergrad How to prove rank(A+B)<=rankA+rankB ?thanks
- boombaby
- · Replies 7 ·
Undergrad My Algebra Questions: Answers & Updates
- JasonRox
- · Replies 52 ·
Undergrad What Makes Prime Numbers So Mysterious?
- philiprdutton
- · Replies 228 ·
Graduate Proving H is Normal: Let G be an Arbitrary Group
- sam09
- · Replies 4 ·
Graduate SU(2) Rotation Representation: Why ω/2?
- unica
- · Replies 4 ·
Undergrad Is Calculus a Prerequisite for Abstract Algebra?
- Howers
- · Replies 5 ·
Undergrad Proof: integers divisibility property
- Prathep
- · Replies 2 ·
Graduate Group generated by Z_p and Z_q ?
- AlphaNumeric2
- · Replies 2 ·
Graduate Positive definite real quadratic forms
- kingwinner
- · Replies 4 ·
Graduate Understanding an Unnamed Theorem and the Primary Decomposition Theorem
- FunkyDwarf
- · Replies 7 ·
Graduate Solving Polynomials with Degree <= 10: Finding Eigenvalues & Eigenspaces
- smoothman
- · Replies 9 ·
Graduate Is there a faster way to do this?
- e12514
- · Replies 2 ·
Graduate Congruences with Fractions: Understanding the Definition and Examples
- Edgardo
- · Replies 8 ·
High School What Is the Falk Scheme for Matrix Multiplication?
- transgalactic
- · Replies 11 ·
Graduate Commutative and homological algebra?
- pivoxa15
- · Replies 6 ·
Undergrad Understanding Vector Dot Product and Gaussian vs. Gauss-Jordan Elimination
- Joza
- · Replies 1 ·
Graduate Irreducible Polynomials p 5 degree 4
- grandnexus
- · Replies 1 ·
Graduate Eigenspaces, eigenvalues and eigenbasis
- FunkyDwarf
- · Replies 14 ·
Undergrad Calculate Vector with Magnitude & Direction Given
- jimbo_durham
- · Replies 3 ·
Graduate Proving Induced Homomorphism from Normal Subgroup
- JasonRox
- · Replies 2 ·
Graduate Equivalent Conditions for Invertible nxn Matrices
- eyehategod
- · Replies 7 ·
Undergrad Can Gaussian Elimination Solve a System with Identical Equations?
- Biloon
- · Replies 3 ·
Graduate How Do You Prove This Recurrence Sequence Conjecture?
- dodo
- · Replies 2 ·
Undergrad Prove Linear Dependence for Set of Vectors w/ Zero Vector
- eyehategod
- · Replies 2 ·
Undergrad What is the meaning of R^n in Linear Algebra?
- Llama77
- · Replies 1 ·
Undergrad Why y=2x+1 is not a vector space?
- Antineutron
- · Replies 9 ·
Graduate Weak/strong group identity axiom
- matheinste
- · Replies 4 ·
Graduate Proving Properties of Non-Square Matrices
- mathguy34
- · Replies 2 ·
High School Exponents relating to linear equations- help
- cmaro
- · Replies 1 ·
Graduate Counting Equivalent Classes in Arbitrary Groups
- Magister
- · Replies 7 ·
Undergrad Help with Induction Proofs for Beginners
- gcarson1
- · Replies 7 ·
Graduate How can I tell if this is a vector space?
- Antineutron
- · Replies 36 ·
Graduate What Happens to Av^j When j Exceeds Rank r in SVD?
- stuck_on_math
- · Replies 4 ·
Graduate Is (123) equal to the identity element in S_3?
- rsa58
- · Replies 11 ·