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