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 Matrix is Invertible: is this notation ok?
- kostoglotov
- · Replies 3 ·
Graduate The extremes of an nth dimension linear equation
- worryingchem
- · Replies 6 ·
Proving Self-Adjoint ODE for Legendre Polynomials
- ognik
- · Replies 3 ·
Evaluating Orthogonal Integral for Legendre Equations
- ognik
- · Replies 7 ·
Conjugate Bra Ket Properties for Proving the Schwarz Inequality
- ognik
- · Replies 2 ·
Graduate Changing format of the equation of interpolation
- Bruno Tolentino
- · Replies 3 ·
Undergrad Defining Vectors: Scalars vs 1-Dimensional Vectors
- Mr Davis 97
- · Replies 18 ·
Sturn-Liouville equation subtraction
- ognik
- · Replies 5 ·
Graduate Proof of Banach Lemma: Small Matrix Eigenvalues
- FOIWATER
- · Replies 4 ·
Graduate How to find composition series of Z_n^* of length k?
- jackmell
- · Replies 7 ·
What Am I Getting Wrong About Matrices and Operators?
- ognik
- · Replies 2 ·
Proving Linear Independence of Eigenfunctions of a Hermitian Operator
- ognik
- · Replies 7 ·
Undergrad Column space and nullspace relationship?
- kostoglotov
- · Replies 5 ·
Undergrad Is this the correct way to compute the row echelon form?
- kostoglotov
- · Replies 1 ·
How can we show that all the solutions are given by X_m(a), Y_m(a) ?
- mathmari
- · Replies 2 ·
Graduate Abstract Algebra: Automorphisms
- nateHI
- · Replies 5 ·
Can Different Bases Change the Classification of Lie Algebras?
- topsquark
- · Replies 0 ·
Re-configurable Battery Network Modeling
- Ambreen Mustafa
- · Replies 5 ·
Undergrad English translated German Linear Algebra book
- PcumP_Ravenclaw
- · Replies 5 ·
To what is X_{-m}+α(a)Y_{-m} equal?
- mathmari
- · Replies 4 ·
Graduate How to find group types for a particular order?
- jackmell
- · Replies 2 ·
Determinant always equal to zero?
- alexmahone
- · Replies 5 ·
Is <L^2> always greater than or equal to 0 for a Hermitian operator?
- ognik
- · Replies 14 ·
Undergrad Difference between scalars and one-dimensional vectors?
- Mr Davis 97
- · Replies 9 ·
Undergrad Help: All subspaces of 2x2 diagonal matrices
- kostoglotov
- · Replies 4 ·
Graduate Norm indueced by a matrix with eigenvalues bigger than 1
- Diffie Heltrix
- · Replies 8 ·
LU Factorization - Solve with Carter Barker
- cbarker1
- · Replies 1 ·
Undergrad Onto equivalent to one-to-one in linear transformations
- HomogenousCow
- · Replies 4 ·
Graduate Proving the Vector Triple Product Identity: A x (B x C) = (A x C)B - (A x B)C
- Karol
- · Replies 10 ·
Radicals and Radical Ideals, Dummit and Foote Proposition 11, Section 15.2
- Math Amateur
- · Replies 6 ·
Graduate Converse of Lagrange's Theorem for groups
- jackmell
- · Replies 6 ·
Terminology - Hermitian, adjoint ....
- ognik
- · Replies 8 ·
Graduate Transform that maps points from any quad to an reactangle
- Estanho
- · Replies 4 ·
Divisors of Zero in Rings: A[x] and the Impossibility in Polynomial Rings
- Kiwi1
- · Replies 4 ·
Undergrad What exactly are matrices and determinants?
- A.MHF
- · Replies 5 ·
Undergrad Complex number and split complex number
- brunotolentin.4
- · Replies 3 ·
Undergrad Can This Formula Identify All Prime Numbers?
- DaMeekie
- · Replies 2 ·
How is the Map $\tilde{\varphi}$ Well-Defined in Algebraic Geometry?
- Math Amateur
- · Replies 2 ·
Undergrad How to construct a vector orthogonal to all but one?
- td21
- · Replies 6 ·
Graduate Relation between covariance and rank
- nikozm
- · Replies 1 ·
What Makes Hilbert Space So Confusing?
- ognik
- · Replies 4 ·
Eigenvalues & Eigenvectors of $t: M_2 \implies M_2$ Matrix
- ognik
- · Replies 12 ·
Graduate Showing any transposition and p-cycle generate S_p
- jackmell
- · Replies 1 ·
Help to understand this eigenvector case
- ognik
- · Replies 5 ·
Did my book do this wrong? (Vector Cross Product)
- Pindrought
- · Replies 3 ·
Graduate Can a Group of Order 20 with Elements of Order 4 Be Cyclic?
- DeldotB
- · Replies 3 ·
How Do I Navigate Change of Basis in Linear Transformations?
- ognik
- · Replies 9 ·
Proving $(G,*)$ is a Group: Hints and Tips for a Simple Group Theory Problem
- alexmahone
- · Replies 2 ·
Graduate Examples of infinite nonabelian groups not GL_n(G)?
- jackmell
- · Replies 12 ·
Graduate Finding pairs of operator-related vectors
- dipole
- · Replies 1 ·
Graduate Can the Induced Matrix Norm be Proven with Triangle Inequality?
- FOIWATER
- · Replies 6 ·
Undergrad What is this Matrix question asking me to do?
- kostoglotov
- · Replies 3 ·
Kirchoff's Law equation 3 unknowns Help
- JonB
- · Replies 1 ·
Graduate Degree of liberty of a matrix 2x2
- brunotolentin.4
- · Replies 2 ·
Solving a system of linear equations with one unknown value
- exqiron
- · Replies 2 ·
Why is the eigenvector of a row reduced matrix not always the zero vector?
- ognik
- · Replies 4 ·
Undergrad What Changes in the Third Pivot When a3,3 Shifts from 7 to 11 in Linear Algebra?
- kostoglotov
- · Replies 1 ·
Find the error in the following argument
- alexmahone
- · Replies 2 ·
Algebras - k-algebra and R-algebra - reconciling two definitions ....
- Math Amateur
- · Replies 9 ·
High School What is the principle of algebra called?
- 24forChromium
- · Replies 10 ·
Graduate Modern Algebra: Stabilizers and Conjugacy Classes of Dodec
- nateHI
- · Replies 4 ·
Graduate How to find generators of symmetric groups
- jackmell
- · Replies 8 ·
Is There an Iff Relation for Polynomial Divisibility in the Ring F[t, t^-1]?
- mathmari
- · Replies 1 ·
Is that correct so far ... ?Yes, that is correct. Good job!
- Math Amateur
- · Replies 1 ·
When Does Such a Short Exact Sequence Exist?
- caffeinemachine
- · Replies 7 ·
Elementary Algebraic Geometry: Exercise 23, Sect 15.1 Dummit & Foote
- Math Amateur
- · Replies 3 ·
Undergrad Planar angle between two vectors
- Philosophaie
- · Replies 2 ·
Solve System of n Equations: Can You Help?
- Mathick
- · Replies 1 ·
Elementary Algebraic Geometry: Dummit & Foote Ch.15, Ex.24 Coordinate Ring
- Math Amateur
- · Replies 1 ·
Coordinate ring of an affine algebraic set - k[A^n]/I(V)
- Math Amateur
- · Replies 3 ·
Arbitrary Subset of A^n - Is it necessarily an affine algebraic set?
- Math Amateur
- · Replies 4 ·
Subsets in the Affine Plane and ideals of K[A^n]
- Math Amateur
- · Replies 1 ·
Ideal of functions disappearing at (a_1, a_2, .... .... , a_n)
- Math Amateur
- · Replies 4 ·
Undergrad Can the entries of a Matrix be elements of an unordered set?
- CSteiner
- · Replies 7 ·
Graduate Finite field with hard discrete log for both groups
- Dragonfall
- · Replies 4 ·
Graduate Is this in general true (about projection matrices)?
- td21
- · Replies 2 ·
Undergrad Linear Dependence/Independence and Wronskian
- KleZMeR
- · Replies 3 ·
Undergrad Could there be only one lower and one upper triangle?
- annoyinggirl
- · Replies 2 ·
Graduate Software for drawing group lattice diagrams?
- jackmell
- · Replies 5 ·
Undergrad Main Idea Behind Determinant & Its Purpose
- vktsn0303
- · Replies 3 ·
Is the Lemma True for All Fields?
- mathmari
- · Replies 4 ·
All basis' go to standard basis?
- ognik
- · Replies 4 ·
Graduate Finite Field Structure: Prime Order Cyclic Group
- Dragonfall
- · Replies 6 ·
Prime Ideal in a Commutative Ring - Rotman Proposition 7.5
- Math Amateur
- · Replies 3 ·
Correspondence Theorem for Groups - Rotman, Proposition
- Math Amateur
- · Replies 8 ·
Correspondence Theorem for Groups - Yet Another Question
- Math Amateur
- · Replies 7 ·
Undergrad Is R^n Euclidean Space a vector space too?
- bacte2013
- · Replies 4 ·
Arithmetic for Quotient Groups - How exaclty does it work
- Math Amateur
- · Replies 11 ·
Graduate Question about Cyclical Matrices and Coplanarity of Vectors
- kostoglotov
- · Replies 1 ·
Prove Nonzero Integer Lemma in $F[t, t^{-1}]$
- mathmari
- · Replies 2 ·
Undergrad Determinant of 3x3 matrix equal to scalar triple product?
- Erithacus
- · Replies 5 ·
Graduate Proving dependent columns when the rows are dependent
- kostoglotov
- · Replies 4 ·
Undergrad How are the x1 and x4 values determined in the solution to the matrix equation?
- kostoglotov
- · Replies 2 ·
High School Vector Space Prob: Show Linear Dependence
- Raghav Gupta
- · Replies 3 ·
Undergrad Matrix Representation of a Uniform Sphere Centered at the Origin
- PhysicsChode
- · Replies 6 ·
Undergrad Beginner: understanding an answer
- kostoglotov
- · Replies 3 ·
Graduate Does Dirac notation apply to tensor product in tensor analysis?
- jk22
- · Replies 6 ·
Undergrad Parametric vector form of cartesian equation
- sukritikapoor96
- · Replies 1 ·
Irreducible Polynomials and Quotient Rings - Rotman Proposition 3.116
- Math Amateur
- · Replies 11 ·
Undergrad Mohr's circle and formula for eigenvectors
- Bruno Tolentino
- · Replies 4 ·