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 Linear Programming - satisfaction only at least one constraint
- wavingerwin
- · Replies 4 ·
Identities of the optimal approximation
- mathmari
- · Replies 9 ·
Undergrad Help with matrix form of the imaginary unit, i
- powerof
- · Replies 1 ·
Graduate (Non)Isomorphism of V with V** in Infinite-Dimension Case
- WWGD
- · Replies 15 ·
Graduate What does it mean to say that something "is a gauge theory"?
- questioner1
- · Replies 4 ·
What is the name of this theorem in Abstract Algebra
- Amer
- · Replies 5 ·
Graduate Why Are the Eigenvalues of This Matrix A and A + φ²B?
- Gianfelici
- · Replies 4 ·
Graduate Eigenvalues / Eigenvectors relationship to Matrix Entries Values
- jorgejgleandro
- · Replies 5 ·
Undergrad Vector Summing in Physics: Understanding the Mathematical Rules and Exceptions
- mech-eng
- · Replies 9 ·
Graduate Verifying that a matrix T represents a projection operation
- Seydlitz
- · Replies 3 ·
Graduate Expected Value Partial Trance Density Matrix
- VVS
- · Replies 3 ·
Graduate Relation between unit tangent/normal vectors, curvature, and Lin. Alg.
- ModestyKing
- · Replies 2 ·
Why aren't there coprime integers?
- evinda
- · Replies 4 ·
Understanding Orthogonality in Inner Product Spaces
- mathmari
- · Replies 2 ·
Graduate Galois Theory, Differential Equations, and Lie Groups?
- "pi"mp
- · Replies 1 ·
Functions that are injective but not surjective
- Math Amateur
- · Replies 5 ·
Commutativity in the linear transformation space of a 2 dimensional Vector Space
- quarkine
- · Replies 2 ·
Graduate What are Symmetric Functions for Polynomial Roots?
- Jhenrique
- · Replies 2 ·
Undergrad Interpolation with 2 variables
- Jhenrique
- · Replies 2 ·
Graduate Ideal of an inversable triangular matrix
- karin
- · Replies 1 ·
Graduate Function of operators. Series, matrices.
- LagrangeEuler
- · Replies 17 ·
Definition of epimorphism and equivalence to 'surjectivity'
- Math Amateur
- · Replies 7 ·
Find Sample Solutions for Underdetermined Systems of Linear Equations
- ztepman
- · Replies 1 ·
Graduate How do you reduce a matrix with unknown components?
- Hertz
- · Replies 2 ·
Graduate Inverse of a special matrix of arbitrary size
- stormyweathers
- · Replies 3 ·
Undergrad Why Does Adding Two Polynomials from a Set Not Always Result in a Vector Space?
- kq6up
- · Replies 18 ·
Undergrad Wronskian vs. Determinant in Determining Linear Independence?
- kq6up
- · Replies 2 ·
A theorem on Quadratic Forms in Reid's Book not at all clear.
- caffeinemachine
- · Replies 6 ·
Undergrad Condition for a number to be a Fibonacci one
- muzialis
- · Replies 14 ·
Undergrad Is There a Formula for Unit Eigenvectors?
- Jhenrique
- · Replies 12 ·
What are the functions of a graph in relation to arrow composition?
- Math Amateur
- · Replies 2 ·
What Is the Universal Mapping Property in Free Monoids According to Awodey?
- Math Amateur
- · Replies 8 ·
Graduate Tensors of Free Groups and Abelian groups
- WWGD
- · Replies 2 ·
Abstract Algebra Sylow Subgroup
- DavidL
- · Replies 5 ·
Solving linear equation application
- paulmdrdo1
- · Replies 6 ·
Graduate Is A^k a Projection Operator if k is Even/Odd?
- LagrangeEuler
- · Replies 2 ·
Is a Latin Square always invertible?
- Sudharaka
- · Replies 1 ·
Graduate Commutator of a group is identity?
- Kanchana
- · Replies 3 ·
Undergrad How to Mathematically describe a plane?
- HMPARTICLE
- · Replies 3 ·
Undergrad Diagonalizing a Matrix A: The Definition and Process Explained
- Jhenrique
- · Replies 1 ·
Graduate Defining Functions on Tensor Products
- WWGD
- · Replies 7 ·
Graduate Why is the Cayley-Hamilton theorem important for matrices?
- negation
- · Replies 2 ·
Graduate Newton's identities and matrices
- Jhenrique
- · Replies 1 ·
Graduate Fourier Transform, Discrete Forier Transform image processing
- joshthekid
- · Replies 3 ·
Graduate Is G/H Always an Abelian Group if H is Normal in G?
- Kanchana
- · Replies 1 ·
Category Theory - Definition of Hom(X,X) in Awodey
- Math Amateur
- · Replies 5 ·
Graduate Can I Write a Hermitian Matrix as A=A^(1/2)AH^(1/2)?
- EngWiPy
- · Replies 4 ·
Graduate What Kind of Tensor Product is v=S:∇I?
- jure
- · Replies 4 ·
Is My Solution to the Complex Algebraic Expression Correct?
- mathdrama
- · Replies 3 ·
Quotient rings and homorphic images
- simo1
- · Replies 3 ·
D&F, Ch 10, Proposition 30 - Proof that (3) ===> (4)
- Math Amateur
- · Replies 3 ·
Graduate How write a matrix in terms of determinant and trace?
- Jhenrique
- · Replies 5 ·
Simple question of interpretation - D&F Ch 10 - Proposition 30
- Math Amateur
- · Replies 4 ·
Graduate Simple question of interpretation - D&F Ch 10 - Proposition 30
- Math Amateur
- · Replies 2 ·
Undergrad Why is Understanding Column Space and Null Space Important in Linear Algebra?
- Muthumanimaran
- · Replies 2 ·
Undergrad Matrix Rank: Meaning, Importance & What It Tells You
- Muthumanimaran
- · Replies 1 ·
Undergrad Possibly silly linear algebra question
- sokrates
- · Replies 2 ·
Undergrad Help with linear transformation problem with variables
- stonecoldgen
- · Replies 6 ·
Exact Sequences - Dummit and Foote Ch 10 - Proposition 29
- Math Amateur
- · Replies 6 ·
Graduate What Are the Automorphisms of Z[x]?
- SS521
- · Replies 1 ·
How do I Find the Vector Coordinates to Solve for Trihedral Angle?
- Julian1
- · Replies 1 ·
Undergrad How to solve a system with more unknowns than equations?
- stonecoldgen
- · Replies 1 ·
Does (ab)^n Always Equal a^n*b^n in an Abelian Group?
- evinda
- · Replies 1 ·
Exact Sequences - Dummit and Foote Ch 10 - Proposition 28
- Math Amateur
- · Replies 2 ·
Undergrad Yaw,Pitch and Roll Multiplication
- abubakr
- · Replies 4 ·
Graduate Demonstrating that a mapping is injective
- Math Amateur
- · Replies 1 ·
How can I find the kernel of a homomorphism of finite groups?
- onie mti
- · Replies 5 ·
Demonstrating that a mapping is injective
- Math Amateur
- · Replies 4 ·
Graduate Artin's lemma in Galois Theory: when is [E:F] < |G|?
- Boorglar
- · Replies 2 ·
How Do You List Elements of G/H in Z10 When H={α,β,δ}?
- simo1
- · Replies 3 ·
Graduate Rate-of-strain tensor in cylindrical coords.
- JoutlawPhysics
- · Replies 4 ·
Understanding Finite Quotient Groups: G/H with G=Z6 and H=(0,3)
- onie mti
- · Replies 2 ·
Exact Sequences - Lifting Homomorphisms - D&F Ch 10 - Theorem 28
- Math Amateur
- · Replies 3 ·
Graduate Exact Sequences - Lifting Homomorphisms - D&F Ch 10 - Theorem 28
- Math Amateur
- · Replies 4 ·
Direct Products of Modules - Bland - Rings and Their Modules
- Math Amateur
- · Replies 14 ·
Proof that Ha=Hb: Element y in Hb Proven True for Ha
- onie mti
- · Replies 4 ·
Graduate Eigenvalue, Eigenvector and Eigenspace
- negation
- · Replies 6 ·
Using dihedral group in Lagrange theorem
- onie mti
- · Replies 5 ·
Graduate (Apparently) simple question rearding module homomorphisms
- Math Amateur
- · Replies 7 ·
Undergrad Do All Subspaces in Rn Have Orthonormal Bases?
- fredrogers3
- · Replies 2 ·
How to Solve Condition Number and LU Decomposition Problems?
- akerman
- · Replies 3 ·
Exact Sequences - extending or lifting homomorphisms
- Math Amateur
- · Replies 1 ·
(Apparently) simple question rearding module homomorphisms
- Math Amateur
- · Replies 1 ·
Split Sequences - D&F Ch 10 Section 10.5
- Math Amateur
- · Replies 2 ·
Help with Vector Questions in a Cartesian Coordinate System
- paulmdrdo1
- · Replies 7 ·
Why can we show that an other polynomial is irreducible?
- evinda
- · Replies 2 ·
Polynomial Divisibility Problem: Proof & Corollary
- kaliprasad
- · Replies 1 ·
Proving Lagrange Theorem for Finite Group G
- onie mti
- · Replies 2 ·
Graduate Prove that U_{m/n_1} (m) ,U_{m/n_k} (m) are normal subgroups
- vish_maths
- · Replies 2 ·
Undergrad Vector component in different co ordinate system
- darwined
- · Replies 9 ·
Graduate Why is q=0 for Simple Roots in Lie Algebras?
- spookyfish
- · Replies 4 ·
Graduate Direct Products of Modules - Bland - Proposition 2.1.1 and its proof
- Math Amateur
- · Replies 9 ·
Direct Products of Modules - Bland - Proposition 2.1.1 and its proof
- Math Amateur
- · Replies 6 ·
Basis of a vector space - apparently simple problem
- Math Amateur
- · Replies 4 ·
Basic Question on Modules - Dummit and Foote Chapter 10
- Math Amateur
- · Replies 1 ·
Graduate Rotation and translation of basis to remove cross terms
- cooev769
- · Replies 2 ·
Graduate Direct Products of Modules - Bland - Rings and Their Modules
- Math Amateur
- · Replies 2 ·
Graduate What is Known About Zero-th Gaussian Periods of Type (N,r)?
- burritoloco
- · Replies 1 ·
How to Solve This Algebraic Question About University Competition Winnings?
- Jodygreen
- · Replies 2 ·
Graduate For every positive integer n there is a unique cyclic group of order n
- BomboshMan
- · Replies 6 ·