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.
High School Algebraic Set Query: Can a Take Any Value?
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Graduate Why is the matrix representation of a linear map unique?
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Undergrad Finding the inverse of matrices larger than 2x2
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Undergrad Proving a transformation is not linear
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Undergrad Linear Transformation involving pi/2
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MHB Is (x^2+1) a maximal ideal in Z7[x]?
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Graduate Set of polynomials is infinite dimensional
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Undergrad How exactly do you compute the span?
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Undergrad 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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Graduate Help Understanding Quotient Groups? (Dummit and Foote)
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MHB Jordan-Basis for Matrix: Need Help!
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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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Graduate Dirichlet's Approximation Theorem not working for n=8 and α= pi?
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Graduate 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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Graduate 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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Graduate Yes/no question about non-commuting Hermitian operators
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MHB Principal Ideals and Bezout Domains - (a,b)
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Graduate Non-division and grassmass algebras
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MHB How Do You Calculate the Distance Between Two Skew Lines?
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Graduate 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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Graduate 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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Graduate Is the Wedge Product of Vectors Equal to the Cross Product?
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Graduate How Do You Derive a Vector Function for Taylor Series Expansion?
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MHB Eigenspace (E's question at Yahoo Answers)
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Graduate Determine new travel direction
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Graduate Representation equivalent to a unitary one
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Graduate 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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Graduate The vector space of linear transformations
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MHB How Does Singular Value Decomposition Transform a Unit Sphere into an Ellipsoid?
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MHB Solving Linear Systems with "m Equations & n Unknowns
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Undergrad Linear Algebra vs Algebra: Which Is Better for Theoretical Physics?
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Graduate When Will the New Twin Prime Paper Be Accessible?
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Graduate 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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Graduate Torsion and Curvature: Understaind The Theory of Curves
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MHB Ferrari's solution to the quartic
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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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Graduate Uniqueness of identity elements for rectangular matrices
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MHB Adj ( adj A ) = ( det A )^(n-2) A (ARSLAN's question at Yahoo Answers)
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Graduate Which Matrix Norms Are Invariant Under Change of Basis?
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Undergrad How can I diagonalize this symmetric matrix?
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MHB Determing whether an equation is linear
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Undergrad Basis of Vectors: Definition & Examples
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High School Why Does the Cross Product of î and ĵ Equal k̂?
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Undergrad Reduction of Boolean Expression to its Lowest From
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Undergrad Why is the vector equation of a plane defined as n • (r-r0) = 0?
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Undergrad Linear Algebraic System Solution for Known and constrained variables
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Graduate Is this a linear system of equations?
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Graduate Tensor product of Hilbert spaces
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MHB Question on the Irreducibility of Polynomials
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MHB Cayley table (Asnate's 's question at Yahoo Answers)
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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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MHB Self-adjoint operator (Bens question at Yahoo Answers)
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Undergrad What are Kyle Numbers and how do you compute them?
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Undergrad What is an Example of a Matrix with Geometric Multiplicity Greater Than 1?
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Undergrad 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 Null and non null eigenvalues (Oinker's question at Yahoo Answers)
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MHB Trouble with two Galois theory questions
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MHB Music Freak's question at Yahoo Answers (Trace in the lnear group)
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MHB Matrix of Linear Transformation T with P2: Find, Ker, Im & Inverse
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High School Formula for sum of digits of a number
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Graduate Solve Invertible Skew Symmetric Matrix: Hints & Tips
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Undergrad Finding a transformation between two matrices
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MHB Ali's question at Yahoo Answers (ker f)
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MHB Admiral Ackbar's question at Yahoo Answers (Inverse image of a vector)
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MHB Order of product of elements in a group
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Graduate Adjoint operators and diffeomorphism
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Undergrad Linear Transformation using Two Basis
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Undergrad Find the smallest Matrix for this Kernel
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Undergrad Is Vector Calculus useful for pure math?
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MHB Chris 's question at Yahoo Answers (Inverse of cA)
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Undergrad Understanding Subset Requirements in R2 and R3
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Undergrad 3x3 Diagonalizable Matrices over GF(2)
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Undergrad Graphing Parabolas that are not parallel to the y-axis
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Undergrad Geometric Multiplicity of Eigenvalues
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MHB PolkaDots 54's question at Yahoo Answers (Diagonalization, conic section))
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Graduate Solve Q(√7,√5) and Prove φ(4√3) = ± 4√3 | Galois Theory Help
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Undergrad Are Cube Matrices the Next Frontier in Linear Algebra?
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Graduate Symmetries of a Tetrahedron video
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High School Understanding Vector Addition: Finding Angles and Magnitudes
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MHB Zach's question at Yahoo Answers (Field with 25 elements)
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Graduate Properties of a special block matrix
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High School Understanding Eigenvalues and Eigenvectors: A Beginner's Guide
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MHB Determine whether Linear Subspace
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