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 Why are the eigenvectors the axes of an ellipse?
- kostoglotov
- · Replies 1 ·
Show determinant operator Det not linear
- ognik
- · Replies 6 ·
Graduate Dimension of SO(n) and its generators
- spaghetti3451
- · Replies 7 ·
Graduate Diff eqs with eigenvectors: double roots, but 2nd eigenvector?
- kostoglotov
- · Replies 9 ·
Null Column Vector vs $ |0 \rangle$
- ognik
- · Replies 1 ·
Graduate Diagonal Scaling of a 2x2 Positive Definite Matrix
- Drazick
- · Replies 9 ·
Proving the Pauli Matrix Identity with Ordinary Vectors: A Simplified Approach
- ognik
- · Replies 2 ·
How to Prove the Lagrange Interpolation Formula?
- HMPARTICLE
- · Replies 1 ·
Undergrad LP objective function with unknown parameters
- Mark J.
- · Replies 4 ·
Graduate How Does the Jacobian Affect Coordinate Transformations?
- "Don't panic!"
- · Replies 30 ·
Graduate What combination of generators can produce a particular SU(2) matrix?
- Einj
- · Replies 3 ·
Graduate A seemingly simple linear algebra equation that eludes me
- ytht100
- · Replies 7 ·
Algebra Challenge: Express $(x^3-y^3)(y^3-z^3)(z^3-x^3)$ in Terms of a & b
- anemone
- · Replies 5 ·
Artinian Rings - Comments by P.M. Cohn, Ring Theory, page 66
- Math Amateur
- · Replies 4 ·
Graduate Group Theory why transformations of Hamiltonian are unitary?
- applestrudle
- · Replies 2 ·
Undergrad Extremely confused on finding eigenvectors
- Jorge Cantu
- · Replies 2 ·
Graduate What is the solution for a system of ODEs with a matrix coefficient?
- kostoglotov
- · Replies 2 ·
Graduate Triangle inequality implies nonnegative scalar multiple
- Bipolarity
- · Replies 3 ·
Undergrad How helpful has the "algebra" been in understanding physics?
- Catria
- · Replies 6 ·
Proving A is Zero Matrix if B is Invertible & Same Size as A
- blueman11
- · Replies 1 ·
Graduate How can e^{Diag Matrix} not be an infinite series?
- kostoglotov
- · Replies 2 ·
Calculating Determinant of $(N+1) \times (N+1)$ Matrix
- evinda
- · Replies 1 ·
Graduate Composition Series of Modules .... Remarks by Cohn
- Math Amateur
- · Replies 5 ·
Graduate Finding a matrix representation for operator A
- Msilva
- · Replies 2 ·
Graduate Noetherian Modules - Maximal Condition - Berrick and Keating
- Math Amateur
- · Replies 12 ·
Graduate Thread: Artinian Modules - Cohn Exercise 3, Section 2.2, page 65
- Math Amateur
- · Replies 1 ·
Graduate Corollary to Correspondence Theorem for Modules
- Math Amateur
- · Replies 2 ·
Parallel Forces in Cartesian Coordinates
- ognik
- · Replies 9 ·
Graduate Cauchy Schwarz equality implies parallel
- Bipolarity
- · Replies 13 ·
Is There a Better Way to Approach Vector Identities?
- ognik
- · Replies 6 ·
Graduate What do you call a_ji in relation to a_ij
- Oerg
- · Replies 5 ·
Solving 2x2 Matrix Projection Problem: Strang's Approach
- arrow27
- · Replies 1 ·
Solve Simultaneous Equations: No/1/Inf Solns?
- Guest2
- · Replies 7 ·
How Does the Correspondence Theorem Prove Maximal Submodules and Simplicity?
- Math Amateur
- · Replies 4 ·
I want to visualise this vector expression
- ognik
- · Replies 6 ·
How does using cross product to find shortest distance work?
- ognik
- · Replies 6 ·
Correspondence Theorem for Modules - Rotman, Section 6.1
- Math Amateur
- · Replies 1 ·
Corollary to Correspondence Theorem for Modules
- Math Amateur
- · Replies 1 ·
Graduate Rotman's Remarks on Modules in Context of Chain Conditions
- Math Amateur
- · Replies 2 ·
Graduate When is the Cauchy-Schwartz inequality as large as possible?
- pitaly
- · Replies 6 ·
Undergrad Matrix with repeated eigenvalues is diagonalizable....?
- kostoglotov
- · Replies 2 ·
Graduate Estimating singular values from QR decomposition
- vibe3
- · Replies 5 ·
Undergrad Connection between subspace, span, and basis?
- hakujin
- · Replies 5 ·
Undergrad Looking for insight into what the Determinant means....
- kostoglotov
- · Replies 2 ·
Graduate Normalising Imaginary Eigenvector
- BOAS
- · Replies 4 ·
Unlock Role of Correspondence Thm for Groups in Analysing Composition Series
- Math Amateur
- · Replies 4 ·
Undergrad High Order Polynomials: Questions & Answers
- azzaz
- · Replies 2 ·
Prove the polynomial f(x)=x^2-q is irreducible in F_p[x]?
- k3232x
- · Replies 1 ·
Check another visualise vector expression
- ognik
- · Replies 6 ·
Why Does $\vec{n}.\vec{r}$ Equal $d$ for a Parallel Line?
- ognik
- · Replies 6 ·
What is Aluffi's notation for composition series in Algebra: Chapter 0?
- Math Amateur
- · Replies 10 ·
Graduate Outer products & positive (semi-) definiteness
- economicsnerd
- · Replies 2 ·
Graduate Eigenvector of Pauli Matrix (z-component of Pauli matrix)
- roshan2004
- · Replies 2 ·
High School Another i j k vectors question.
- Ricky31290
- · Replies 7 ·
Jordan-Holder Theorem for Groups .... Aluffi, Theorem 3.2
- Math Amateur
- · Replies 2 ·
Graduate Homomorphisms and Multiplication Tables
- davidbenari
- · Replies 14 ·
Undergrad Convert ECI to ECEF: A Step-By-Step Guide
- Rawls
- · Replies 2 ·
Graduate Understanding proof for theorem about dimension of kernel
- Incand
- · Replies 7 ·
Undergrad X0 value for Newton's forward interpolation formula
- Raghav Gupta
- · Replies 8 ·
Graduate Cyclic Quotient Group: Is My Reasoning Sound?
- Gabrielle Horn
- · Replies 1 ·
Undergrad Is Coefficient Pairing in Polynomials Justifiable Through Equality Definition?
- aikismos
- · Replies 3 ·
Consequence of Hilberts Nullstellensatz - Dummit & Foote, Section 15.2
- Math Amateur
- · Replies 2 ·
Graduate When Should You Use the Law of Cosines in Electrodynamics?
- student1856
- · Replies 3 ·
What could we change so that EXP(C) is a ring?
- mathmari
- · Replies 11 ·
Paul E Bland's "Direct Product of Modules" Definition - Category-Oriented
- Math Amateur
- · Replies 2 ·
Undergrad Polynomial Degree n Basis: 1,x,x^2...x^n
- Zhang Jiawen
- · Replies 2 ·
Graduate Does this kind of space have a name?
- Someone2841
- · Replies 7 ·
Understanding Direct Products of Vector Spaces: Cooperstein's Example 1.17
- Math Amateur
- · Replies 5 ·
Graduate What units will this equation have?
- RyanUSF
- · Replies 2 ·
Undergrad Dimension of the span of a set of vectors
- MostlyHarmless
- · Replies 7 ·
Linear Algebra: General Solution, Stability & Diagonal Transforms
- qybah
- · Replies 3 ·
Proposition 3.1.2 in B&K: Help Needed on Exact Sequences/Noetherian Rings
- Math Amateur
- · Replies 2 ·
Corollary 3.1.3 - Berrick and Keating - Noetherian Modules
- Math Amateur
- · Replies 3 ·
Group Theory: Finite Group Has Prime Order Element
- alexmahone
- · Replies 4 ·
Undergrad Can the basis minor of a matrix be the matrix itself?
- mairzydoats
- · Replies 2 ·
Affine Algebraic Sets - Properties of the map I - Dummit and Foote, page 661
- Math Amateur
- · Replies 2 ·
Help Needed: Analzying Berrick & Keating's Prop. 3.1.2 on Noetherian Rings
- Math Amateur
- · Replies 2 ·
Exact Sequences and Noetherian Rings - Proposition 3.1.2 - Berrick and Keating
- Math Amateur
- · Replies 8 ·
Graduate Finding crossing regions between two quadractics
- rockerman
- · Replies 1 ·
Graduate Finding the ideals of an algebra
- DeldotB
- · Replies 2 ·
Graduate What is the Tensor Product of Vectors and How Does It Differ Across Contexts?
- Harel
- · Replies 8 ·
Graduate Row and null complements of x; need clarity....
- kostoglotov
- · Replies 1 ·
Matrix Algebra 2.0 Help: Solving Questions with Cosine Laws
- saifh
- · Replies 3 ·
Field Extensions - Discussion of Dummit and Foote - page 512
- Math Amateur
- · Replies 2 ·
Undergrad Dimension of all 2x2 symmetric matrices?
- kostoglotov
- · Replies 3 ·
Find All Subgroups of U(14) in $\mathbb{Z}_{14}$
- alexmahone
- · Replies 1 ·
Solving Linear Systems with a Variable: How to Handle Unknown Constants?
- delc1
- · Replies 2 ·
Need Help with University Question? Let's Discuss!
- saifh
- · Replies 2 ·
Graduate Why can't I find this group anywhere online?
- davidbenari
- · Replies 6 ·
Undergrad Parametrize the solution set of this one-equation system.
- Antonius
- · Replies 1 ·
Graduate Solving sturm-liouville equations
- ognik
- · Replies 4 ·
Solving Coefficant Matrices with Legendre Polynomials
- ognik
- · Replies 3 ·
Radicals of Ideal: Get Help Understanding D&F Prop. 11
- Math Amateur
- · Replies 11 ·
Graduate Abstract Algebra: Beyond and Higher?
- alvin51015
- · Replies 5 ·
Checking Field Axioms for $G = F \times F$
- Guest2
- · Replies 3 ·
Check sturm-liouville orthogonality problem
- ognik
- · Replies 7 ·
Graduate Matrix Elements as images of basis vectors
- askhetan
- · Replies 9 ·
Graduate What subspace of 3x3 matrices is spanned by rank 1 matrices
- kostoglotov
- · Replies 2 ·
High School Isn't chemistry just applied algebra/pre-calculus?
- Eclair_de_XII
- · Replies 6 ·
Undergrad What are the limitations and capabilities of pseudo inverses?
- worryingchem
- · Replies 1 ·