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.
Threads
Graduate Why is commutative algebra focused on rings instead of groups?
- pivoxa15
- · Replies 7 ·
Graduate Proof that Non-Singularity of I-AB Implies Non-Singularity of I-BA
- eyehategod
- · Replies 1 ·
Graduate How to interpret commutative diagrams in category theory
- LukeD
- · Replies 11 ·
Graduate Subgroups of integers with density guarantees on intervals
- 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 the set of all linear combinations of two vectors is a subspace
- 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 What does isomorphism mean for vector spaces?
- mrroboto
- · Replies 4 ·
Graduate Finding the linear functional for vector (1,1,2,2) with Riesz representation
- sharkboy
- · Replies 13 ·
High School Do repeating decimals occur in all number bases?
- 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 Why doesn't the union of proper subspaces have an upper bound in Zorn's lemma?
- mathboy
- · Replies 10 ·
Graduate Finite Dimensional Representation of SU(2)
- kakarukeys
- · Replies 2 ·
Undergrad What does the symbol Î mean in number theory?
- 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 Proving phi is an isomorphism from Z to upper triangular matrices
- 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 How do I multiply a 3×3 matrix by another 3×3 matrix?
- mrroboto
- · Replies 1 ·
Undergrad How do you determine signs of variables in this homogeneous system?
- 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 Do vectors u=(1,2,-3) and v=(4,8,-9) point in the same direction?
- 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 What is Riemann's hypothesis?
- 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 Primes between consecutive squares and twin primes
- bonzion
- · Replies 8 ·
Graduate Find the equivalent intersection point of multi lines in 3D space
- zyh
- · Replies 3 ·
Graduate Transfinite induction proof of basis existence between spanning set and independent set
- andytoh
- · Replies 7 ·
Graduate G2 root system and dodecahedron symmetries
- Jim Kata
- · Replies 2 ·
Undergrad Finding determinants without matrix inversion
- salman213
- · Replies 4 ·
Undergrad Crames Rule and equation of a plane
- succubus
- · Replies 3 ·
Undergrad Learning coset decoding in coding theory
- 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 How do you multiply Lie groups of different dimensions like SU(2) × U(1)?
- quantumfireball
- · Replies 2 ·
Undergrad Gauss Row Operations: Solving by Hand?
- THE 1
- · Replies 1 ·
Graduate Orthogonal basis for symmetric bilinear forms and diagonalization
- 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 the pattern in this number sequence?
- Dazzlex
- · Replies 29 ·
Undergrad How to prove rank(A+B)<=rankA+rankB ?thanks
- boombaby
- · Replies 7 ·
Undergrad What does g(x₁,...,xₙ) mean in group theory and permutations?
- JasonRox
- · Replies 52 ·
Undergrad Defining primes using addition instead of multiplication
- 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 Eigenvalues and generalized eigenspaces of differentiation on polynomials
- smoothman
- · Replies 9 ·
Graduate Is there a faster way to do this?
- e12514
- · Replies 2 ·
Graduate What does congruence mean for fractions like 1/2 ≡ 4 (mod 7)?
- 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 Finding vector components from magnitude and direction
- 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 Finding the gradient through points with pi exponents
- cmaro
- · Replies 1 ·
Graduate Counting Equivalent Classes in Arbitrary Groups
- Magister
- · Replies 7 ·
Undergrad Proving divisibility and factorial sums by induction
- gcarson1
- · Replies 7 ·
Graduate How can I tell if this is a vector space?
- Antineutron
- · Replies 36 ·