Linear and Abstract Algebra Forum

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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.
Does This Function Satisfy the Parallelogram Property?
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Non-Square Matrix Determinants: An Investigation into det(1+AB) = det(1+BA)
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MHB Prove (I + J)/J is isomorphic to I(R/J) as R modules
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Explanation of exponential operator proof
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Need resources for solving nonlinear matrix equations
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Inverse transformation matrix entry bounds
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Mazur-Ulam theorem (bijective isometries are affine maps)
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Problem A1 from the 2009 Putnam Exam
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Can A=B be Proved Algebraically without Linear Transformations?
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Calculating Angle Between Vectors G & F
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Solving Markov Chain Question: Closed Form Expression for f(n)ij | PDF Attached
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MHB Epimorphisms Between Groups: When is a Homomorphism Onto?
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Understanding Algebras: The Relationship Between Rings and Modules
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Family of sets without maximal element
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Looking for Matricies with their R-Echelon Forms
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What is the connection between Euler's formula and the Zeta function?
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MHB Show that G is isomorphic to G x G
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Group definition for finite groups
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MHB Can (I-A)^{-1} Be Expressed as a Series When A^4 = 0?
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Is Matching Dimension Enough for Linear Transformation Invertibility?
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Why is the matrix representation of a linear map unique?
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Finding the inverse of matrices larger than 2x2
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Proving a transformation is not linear
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Linear Transformation involving pi/2
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Set of polynomials is infinite dimensional
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How exactly do you compute the span?
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How Can I Represent Algebraic Numbers for Computation?
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MHB Hilbert's Basis Theorem - Basic Question about proof
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Help Understanding Quotient Groups? (Dummit and Foote)
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MHB Proving Integer Coefficients in Polynomial Rings w/ Gauss Lemma
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MHB Product of polynomials over non-integral domain is 0
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Dirichlet's Approximation Theorem not working for n=8 and α= pi?
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Extracting a matrix from a curl operation
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MHB Area of Triangle ABC: Calculating with Points A,B,C
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Is Axiom 2 a Special Case of Axiom 1 in Vector Spaces?
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MHB Proving L is an Ideal - Part of the Proof of Hilbert's Bass Theorem
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MHB Looking for Linear Algebra Practice Problems?
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Yes/no question about non-commuting Hermitian operators
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MHB Principal Ideals and Bezout Domains - (a,b)
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Non-division and grassmass algebras
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MHB How Do You Calculate the Distance Between Two Skew Lines?
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Addition to a random matrix element
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MHB Solving Linear Transformation: Find F Given 3 Equations
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MHB How Does Proposition 7 Support Proposition 15 in Dummit and Foote?
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Leibniz rule and Newton's bionomial theorem
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MHB Ask for constructing function from coordinate(x,y) points
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MHB Transition Matrix: Polynomial to Coordinate Form
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MHB Linear Transform Synonyms: Grouping Components and Spaces
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Is the Wedge Product of Vectors Equal to the Cross Product?
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How Do You Derive a Vector Function for Taylor Series Expansion?
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Determine new travel direction
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Can a Singular Matrix Have a Unique Solution for Ax=b?
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MHB Can Two Lines Intersect? A Proof
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The vector space of linear transformations
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MHB Solving Linear Systems with "m Equations & n Unknowns
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Linear Algebra vs Algebra: Which Is Better for Theoretical Physics?
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When Will the New Twin Prime Paper Be Accessible?
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Indeterminate limit of the form 1/0
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MHB Symbolic calculation in two variables.
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MHB Polynomial Rings - Irreducibility - Proof of Eisenstein's Criteria
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Torsion and Curvature: Understaind The Theory of Curves
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MHB Specific example of Eisenstein's Theorem using R = Z
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MHB Factor Rings of Polynomials Over a Field
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Uniqueness of identity elements for rectangular matrices
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Which Matrix Norms Are Invariant Under Change of Basis?
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MHB Determing whether an equation is linear
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Basis of Vectors: Definition & Examples
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Reduction of Boolean Expression to its Lowest From
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Why is the vector equation of a plane defined as n • (r-r0) = 0?
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Linear Algebraic System Solution for Known and constrained variables
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Is this a linear system of equations?
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Tensor product of Hilbert spaces
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MHB Question on the Irreducibility of Polynomials
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MHB Unique Factorization Domain? Nature of Q_Z[x] - 2
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MHB How Does Group Theory Apply to Solving a Rubik's Cube?
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MHB Proving Subspace Properties for Sets of Polynomials in P3
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What are Kyle Numbers and how do you compute them?
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What is an Example of a Matrix with Geometric Multiplicity Greater Than 1?
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The Algebra for Theory of Natural Output
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MHB Polynomial Rings and UFDs - Dummit and Foote pages 303-304
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MHB Trouble with two Galois theory questions
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MHB Matrix of Linear Transformation T with P2: Find, Ker, Im & Inverse
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Formula for sum of digits of a number
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Finding a transformation between two matrices
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MHB Order of product of elements in a group
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Adjoint operators and diffeomorphism
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Linear Transformation using Two Basis
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Find the smallest Matrix for this Kernel
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Understanding Subset Requirements in R2 and R3
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3x3 Diagonalizable Matrices over GF(2)
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Graphing Parabolas that are not parallel to the y-axis
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Geometric Multiplicity of Eigenvalues
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Solve Q(√7,√5) and Prove φ(4√3) = ± 4√3 | Galois Theory Help
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Are Cube Matrices the Next Frontier in Linear Algebra?
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Symmetries of a Tetrahedron video
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Properties of a special block matrix
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MHB Determine whether Linear Subspace
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Homomorphism from GL(2,N) to Z_N?
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Finding operators (and, possibly, exponents) in a system
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Do these sets span the same space?
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