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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Undergrad 2 Questions, regarding closure
- rbzima
- · Replies 7 ·
Graduate Can 2z^n(z^n + x^n + y^n) Ever Be a Perfect Square for Prime n Greater Than 2?
- ramsey2879
- · Replies 2 ·
Graduate Conjecture on triangular numbers T(n)
- ramsey2879
- · Replies 19 ·
Graduate Group Theory-solution to polynomial equations
- Himanshu
- · Replies 5 ·
Undergrad Solving Higher Order Polynomial: ax + x^3 - x^5 = 0
- Peregrine
- · Replies 5 ·
Graduate What are the v_j vectors in Cahn's representation of the Lie algebra of SO(3)?
- jdstokes
- · Replies 1 ·
Undergrad Can someone explain Euler angles?
- makc
- · Replies 3 ·
Undergrad If gcd(a,b)=1, why does gcd(a,bk) = gcd(a,k)?
- Hells_Kitchen
- · Replies 2 ·
Graduate Finding Galois group of splitting field with determinant formula
- Hello Kitty
- · Replies 4 ·
Undergrad Prove a few theorems about vector spaces using the axioms
- ataraxia
- · Replies 1 ·
Graduate Why Use a - b Instead of a + b in Equivalence Classes of Rings?
- InquilineKea
- · Replies 3 ·
Undergrad Can a Direct Proof Show That 1-A is its Own Inverse?
- torquerotates
- · Replies 3 ·
Graduate What is the value of this finite sum?
- Pere Callahan
- · Replies 2 ·
Undergrad Vector spaces + proving of properties
- JamesGoh
- · Replies 28 ·
Graduate Lie Groups and Algebras: Proofs and Potential Errors
- ala
- · Replies 5 ·
Undergrad Is there a relationship between remainders and positive integers?
- Gnoj
- · Replies 2 ·
Graduate One question related to an ideal of Ring R
- wowolala
- · Replies 1 ·
Graduate Why is <2>[x] not maximal in Z[x] if <2> is maximal in Z?
- wowolala
- · Replies 6 ·
Undergrad Is T(x,y)=(1,y) a linear transformation?
- sara_87
- · Replies 16 ·
Undergrad Eigenvalues and -vectors in class
- nonequilibrium
- · Replies 2 ·
High School What is meant by collinear, parallel and coplanar vectors?
- dcl
- · Replies 4 ·
Graduate What do you call a maximal orthonormal set?
- quasar987
- · Replies 3 ·
Undergrad Puzzling Equation: x^y=y^x - Are There Solutions?
- Ynaught?
- · Replies 4 ·
Graduate Problem on linear independence and matrices
- vince89
- · Replies 17 ·
Graduate Is Cubing a Permutation in Zp for Primes Equivalent to 2 Mod 3?
- Hello Kitty
- · Replies 5 ·
Graduate Derivation of Euler's formula for phi(m)
- Eus
- · Replies 4 ·
Undergrad Finding k where 2^k=n in ℤ/p
- CRGreathouse
- · Replies 2 ·
Graduate What Are the Properties of G(n) in Group Theory?
- smoothman
- · Replies 3 ·
Graduate Proving feasibility of convex linear combination in LP problem
- dopey9
- · Replies 2 ·
Graduate Is There a Faster Way to Find Conjugacy Classes in Group Theory?
- catcherintherye
- · Replies 1 ·
Graduate Order of Groups: Proving ord(\theta(x)) = ord(x)
- smoothman
- · Replies 3 ·
Graduate Constructing a finite field with 10^9 to 10^10 elements in Mathematica
- Granit_niti
- · Replies 1 ·
Graduate Can Multilinear Maps Be Represented with Matrices?
- WWGD
- · Replies 2 ·
Undergrad How to Find Inverse of a Matrix
- nanoWatt
- · Replies 4 ·
Undergrad Why use permutations to define determinants for n×n matrices
- O.J.
- · Replies 17 ·
Graduate Quaternions or Vectors: Which is the Better Choice for Electromagnetism?
- Gerenuk
- · Replies 1 ·
Graduate Does showing G × H is a group mean verifying the four group axioms?
- smoothman
- · Replies 13 ·
Undergrad Cutting equal numbers of different length pieces from a known length
- jeff_fall2k5
- · Replies 4 ·
Graduate What groups have exactly 4 subgroups?
- Mystic998
- · Replies 3 ·
Undergrad Is the A_n Group the Same as the Dihedral Group D_n?
- Magister
- · Replies 1 ·
Graduate Can there be a largest prime within the concept of infinity?
- Icebreaker
- · Replies 23 ·
Graduate Understanding Fields: How Can They Be Represented and Applied?
- nanoWatt
- · Replies 4 ·
Graduate Finding the count and sorted position of pairs and triplets with bounded sum
- ramsey2879
- · Replies 2 ·
Undergrad How to Solve the Tough Diophantine Equation?
- Izzhov
- · Replies 6 ·
Graduate How Can I Understand the Representation Theory of Lie Algebras?
- Jim Kata
- · Replies 1 ·
Undergrad Gradient of trace of ABA'C with respect to A
- Ghostrider
- · Replies 2 ·
Undergrad Can Column Operations be Used to Find the Inverse of a Matrix?
- rock.freak667
- · Replies 8 ·
Undergrad Solving for A and B from A²−B²=hj(k²) and 2AB=mjk
- mconn86
- · Replies 3 ·
Undergrad Solve (2-i)x + (-3+4i)y = -2+3i
- BlackIP
- · Replies 1 ·
Undergrad Write OT as linear combination of OX and OY given division ratios
- Mtl
- · Replies 2 ·
Graduate Vector Space Algebra of Minkowski Space
- thermobum
- · Replies 4 ·
Graduate Eigenspaces, Kernel, and Span: Understanding with Examples | Question Answered
- smoothman
- · Replies 6 ·
High School De Moivre's Theorum and Double-Angle Formulas
- Jessehk
- · Replies 4 ·
Undergrad Dot product cross product, where did they come from?
- dionysian
- · Replies 21 ·
Graduate Why Isn't the Inverse of My Fundamental Matrix Correct?
- Diferencialdex
- · Replies 3 ·
Graduate Is Showing the Uniqueness of Highest Weight a Valid Proof of Irreducibility?
- lion8172
- · Replies 2 ·
Undergrad Rank of Matrices: Why Equal to Transpose?
- Fu Lin
- · Replies 4 ·
Undergrad If n² is divisible by 6, is n divisible by 6?
- ToastMonger
- · Replies 10 ·
Graduate How does a free vector space differ from a standard vector space?
- matheinste
- · Replies 11 ·
Undergrad How does row reduction relate to a linear map's matrix?
- WWGD
- · Replies 2 ·
Undergrad Two vectors in 3D, always form a plane?
- blackcat
- · Replies 18 ·
Undergrad Two disjoint subsets of a 15-element subset of {1,...,2048} with equal sum
- Doom of Doom
- · Replies 12 ·
Undergrad Prove a² + ab + b² = c² for a triangle with a 120° angle
- Ynaught?
- · Replies 3 ·
Graduate Prove a^2 + b^2 = 3(s^2 + t^2) implies both a and b must are divisible by 3
- Ceres629
- · Replies 13 ·
Graduate Can Injectivity of a Matrix Guarantee a Left Inverse?
- y_lindsay
- · Replies 1 ·
Undergrad Solve matrix equation for four unknowns
- jubej
- · Replies 7 ·
Graduate Linear Transformation to Shrinking/Expand along a given direction
- birulami
- · Replies 4 ·
Graduate Proving the Continuity of Projections in Vector Spaces
- jostpuur
- · Replies 2 ·
Undergrad Finding integer solutions to y² = x³ + n
- quila
- · Replies 15 ·
Graduate What is the Inverse of an Element in Free Vector Spaces?
- matheinste
- · Replies 6 ·
Graduate Quadratic residues modulo primes and Fermat's Little Theorem
- grandnexus
- · Replies 10 ·
Graduate Negative-definite inner products
- andytoh
- · Replies 4 ·
Undergrad Do systems of linear equations in five variables represent graphs in higher dimensions?
- Liger20
- · Replies 1 ·
Graduate Identifying elements in V(x)W, V,W V.Spaces
- WWGD
- · Replies 4 ·
Graduate How Do You Solve Group Ring Isomorphisms in Mathematics?
- catcherintherye
- · Replies 4 ·
Undergrad Simpler proof of Cramer's rule
- rock.freak667
- · Replies 2 ·
Graduate Given a real nxn symmetric and non-positive definite matrix,. .
- kholden
- · Replies 3 ·
Graduate Finding a Subspace W of R^4 for Direct Sum V(+)W
- student82
- · Replies 5 ·
Undergrad I'm trying to prove that a linear map is injective
- catcherintherye
- · Replies 1 ·
High School Is Every Integer in the Decimal System Divisible by 5?
- Prathep
- · Replies 5 ·
Graduate Proofs that the golden ratio is irrational
- at3rg0
- · Replies 15 ·
Graduate Is a diagonal matrix similar to a lower triangular matrix with the same diagonal?
- thebuttonfreak
- · Replies 1 ·
Undergrad What are the possible values of the determinant of an orthogonal matrix?
- salman213
- · Replies 7 ·
Undergrad What Is the Linear Property of Determinants?
- Winzer
- · Replies 1 ·
Undergrad Find Dimension of Nullspace A with Basis Calculation
- ND3G
- · Replies 5 ·
Undergrad Can abstract math be understood through concrete examples?
- pivoxa15
- · Replies 11 ·
Graduate Order of 2x2 matrix group under mult. mod p
- SiddharthM
- · Replies 3 ·
Graduate Counterexample so that (ab)^i=a^ib^i for two consecutive integers
- SiddharthM
- · Replies 4 ·
Graduate How to remember the second and third isomorphism theorems intuitively
- lion8172
- · Replies 2 ·
Undergrad Vector spaces, Spans and Matrix Determinants
- ND3G
- · Replies 6 ·
Undergrad Do Equations in More Than Three Variables Represent Graphs in Higher Dimensions?
- Liger20
- · Replies 9 ·
Graduate What Do Homomorphisms on Rings Really Mean?
- chocok
- · Replies 3 ·
Graduate Counterexample for an alternate definition for a group
- SiddharthM
- · Replies 2 ·
Graduate Galois and Klein 4: Isomorphic or Cyclic?
- morganjp
- · Replies 1 ·
Undergrad Matrix algebra over finite fields
- AngelofMusic
- · Replies 1 ·
Undergrad Least amount of structure for vector space.
- matheinste
- · Replies 9 ·
Graduate Adjoint of a linear operator Definition
- kingwinner
- · Replies 15 ·
Undergrad Is 19 = x^2 mod p solvable? p=68659
- quila
- · Replies 12 ·
Graduate What is the difference between SO(3,1) and SO(1,3)?
- Coin
- · Replies 1 ·
Undergrad How to make a matrix B such that AB=BA
- yooyo
- · Replies 36 ·