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 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 Help with Proof: GCD(a,bk) = GCD(a,k)
- Hells_Kitchen
- · Replies 2 ·
Graduate Solving Galois Group Problem Q7: Step-by-Step Guide
- 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 Need help for a maximal ideal quesiton
- wowolala
- · Replies 6 ·
Undergrad Is this a Linear transformation
- sara_87
- · Replies 16 ·
Undergrad Eigenvalues and -vectors in class
- nonequilibrium
- · Replies 2 ·
High School Identifying Collinear, Parallel & 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 Solutions for 2^k=n in $\mathbb{Z}/p$: Suggestions?
- 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 Help me construcing finite field,
- 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 Understanding the core idea behind determinants
- O.J.
- · Replies 17 ·
Graduate Quaternions or Vectors: Which is the Better Choice for Electromagnetism?
- Gerenuk
- · Replies 1 ·
Graduate Answer: Formal Proof of G x H as a Group
- 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 Partitioning Problem: Solving for Pairs & Triplets
- 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 Need help with easy linear algebra proof
- Ghostrider
- · Replies 2 ·
Undergrad Can Column Operations be Used to Find the Inverse of a Matrix?
- rock.freak667
- · Replies 8 ·
Undergrad Transforming Simultaneous Equations into Simplified Form for Easy Solving
- mconn86
- · Replies 3 ·
Undergrad Solve (2-i)x + (-3+4i)y = -2+3i
- BlackIP
- · Replies 1 ·
Undergrad If X divides YZ, T divides XY, write OT as linear comb. of OX & OY
- 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 Proving Divisibility of n by 6: A Simple Guide
- ToastMonger
- · Replies 10 ·
Graduate Free Vector Space Explained: Geroch & Matheinste
- matheinste
- · Replies 11 ·
Undergrad Is there a connection between row reduction and linear maps?
- WWGD
- · Replies 2 ·
Undergrad Two vectors in 3D, always form a plane?
- blackcat
- · Replies 18 ·
Undergrad Show Equal Sums in Subset of {1,2,...2048} w/ Size 15
- Doom of Doom
- · Replies 12 ·
Undergrad Can someone help me prove a^2+ab+b^2=c^2 for a 120 degree triangle?
- 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 Matrix Equations: Solving for a, b, c, and d | Elementary Linear Algebra Help
- 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 for y^2 = x^3 + n
- quila
- · Replies 15 ·
Graduate What is the Inverse of an Element in Free Vector Spaces?
- matheinste
- · Replies 6 ·
Graduate Eulers and Fermats Theorems Help
- grandnexus
- · Replies 10 ·
Graduate Negative-definite inner products
- andytoh
- · Replies 4 ·
Undergrad Do Equations in More Than Three 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 Cramer's Rule: A Simplified Explanation
- 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 Prove the Irrationality of the Golden Ratio & Phi
- at3rg0
- · Replies 15 ·
Graduate Help Diagonal matrix similar to upper triangular matrix?
- 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 Remember Isomorphism Theorems: Intuition Guide
- 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 ·
Graduate Commutative Algebra: Study of Rings & Groups
- pivoxa15
- · Replies 7 ·
Graduate Proof that Non-Singularity of I-AB Implies Non-Singularity of I-BA
- eyehategod
- · Replies 1 ·