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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.
Undergrad Square of determinant is symmetric
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MHB Total Labor Cost Per Good Matrix Calculation
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MHB A subset of R^(2) that is a nontrivial subspace of R^(2)
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MHB Tensor Products of Modules and Free Abelian Groups based on Cartesian Product
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Undergrad Linear dependency of Vectors above R and C and the det
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MHB Linear Algebra Expert Requested For Discussion
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Undergrad Isolate variables in nonlinear equation for regression
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Undergrad Are f(x) = xcos(x) and g(x) = cos(x) Linearly Independent?
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Undergrad Free Abelian Groups .... Aluffi Proposition 5.6
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Undergrad Group Normalcy not transitive example?
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Undergrad How Can a Set Fail the Scalar Identity Axiom in Vector Spaces?
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MHB Are Hom_R(R, M) and M Isomorphic?
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MHB Free Abelian Groups .... Aluffi Proposition 5.6
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MHB Prove $R$ is a Field: Finitely Generated Modules are Free
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MHB Proving $M$ is Cyclic: Simple $R$-Module & Isomorphism with Maximal Ideal $J$
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MHB Did I Make an Error in My Euclidean Division Calculation?
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Undergrad Can Linear Programming Handle Combined Item and Shipping Costs Optimization?
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MHB How can we conclude from that that I is a principal ideal?
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MHB Exploring the Periodicity of Powers in Modular Arithmetic
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MHB The endomorphism ring is a field
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MHB How to Find the Product of Cyclic Groups in an Abelian Group?
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MHB What Should Computer Science Majors Expect from Linear Algebra?
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Undergrad General form of symmetric 3x3 matrix with only 2 eigenvalues
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MHB Is φ a bijective homomorphism between simple $R$-modules?
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MHB What Are the Prime and Maximal Ideals in the Ring $\mathbb{Z}_{12}$?
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MHB An Artinian integral domain is a field
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MHB The principal ideal is maximal in but it is not the unique maximal ideal
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Undergrad Can we add two vectors that are not acting simultaneously using vector addition?
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MHB Unique Automorphism of R[x] - A Hint for Invertible a & b
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Undergrad About Lie group product ([itex]U(1)\times U(1)[/itex] ex.)
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Undergrad Multiplication by a matrix in GL rotates a plane's basis?
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MHB Categories of Pointed Sets - Aluffi, Example 3.8
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Undergrad Is There Proof for the Cross Product Matrix Formula?
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MHB Closure under Scalar multiplication
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Undergrad How can we determine if D3xZ2 contains an element of order 6?
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Graduate Question about properites of tensor product
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Undergrad Taking the Tensor Product of Vectors
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Undergrad Cross product or vector product.
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Undergrad Why does A.A = ||A||^2 in the scalar product formula?
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Undergrad Vectors Cartesian equations and normals
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Undergrad Categories of Pointed Sets - Aluffi, Example 3.8
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MHB Tensor Algebras and Graded Algebras - Cooperstein - Theorem 10.11 and Defn 10.7
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Undergrad Scalar product and vector product
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Undergrad Vector equation perpendicular to two equations
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Undergrad Matrix Representation of Linear Transformation
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Undergrad Which Are the EOFs in SVD?
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Undergrad Does this concept have a name? (looping/overlapping time)
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Undergrad Tensor Algebras and Graded Algebras - Cooperstein
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Undergrad How do we divide one vector field by another?
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MHB Symmetry in the algebraic expressions
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Undergrad The Tensor Algebra - Cooperstein, Defn 10.5
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MHB Tensor Algebras - Dummit and Foote, Section 11.5
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Undergrad Tensor Algebras - Dummit and Foote, Section 11.5
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Undergrad Exponential Operators: Inverting, Rearranging, Expanding
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Undergrad What is the outer product of a tensor product of vectors?
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Undergrad The Tensor Algebra - Cooperstein, Example 10.1
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MHB Tensor Algebras - Cooperstein Example 10.1
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MHB Tensor Products and Associative Algebras
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Undergrad Stupid Question about a Notation in Linear algebra
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Undergrad How this defines a linear transformation
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MHB How to define this linear transformation
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Undergrad Finding the matrix inverse by diagonalisation
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MHB Galois Groups and Minimum Polynomial
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MHB Tensor Algebras - Cooperstein Theorem 10.8
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Graduate Definition of observability indices?
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Undergrad Tensor Algebras - Cooperstein Theorem 10.8
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MHB Relationship between metric and inner product
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Graduate Understanding the Connection Between Lie Algebras and Rotations
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MHB Characterization of External Direct Sum - Cooperstein, pages 359 - 360
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MHB Tensor Products - Basic Understanding of Cooperstein, Theorem 10.2
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Undergrad What's the Difference Between Zero Divisors and Torsion Elements?
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Undergrad Cosets: Is [gH] a Subgroup of G?
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Undergrad Tensor Products - Understanding Cooperstein, Theorem 10.2
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Undergrad Adjoint representation and the generators
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Undergrad Can Normal Matrices Be Non-Self-Adjoint?
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Undergrad Characterization of External Direct Sum - Cooperstein
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Undergrad Some questions about eigenvector computation
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Undergrad Extension of scalars .... D&F, Section 10.4: Tensor Products
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Undergrad Group Theory: Unlocking Real-World Solutions for First-Year Students
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MHB Proof of Existence of Tensor Product .... Cooperstein ....
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High School Algebra question -- Solving 2 simultaneous equations....
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MHB Is R a Principal Ideal Domain (P.I.D) Given These Properties?
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Undergrad Confused about basis vector notation
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MHB Show Finite Principal Ideals Contain $(d)$ in U.F.D.
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Undergrad Commutator between Casimirs and generators for Lorentz group
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MHB Is $I$ an Ideal in a Ring $R$?
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MHB How can we show that a has a left inverse?
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MHB Is $1-y$ always lacking a right inverse when $y$ is a non-unit in a right ideal?
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Graduate Equation with three consecutive prime numbers
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Undergrad How to Solve for a 3x3 Matrix Using A and B Vectors?
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Undergrad Third Invariant expressed with Cayley-Hamilton Theorem
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MHB Extension of Scalars: Dummit & Foote's Section 10.4 Q&A
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MHB Automorphisms, Galois Groups & Splitting Fields
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MHB P-Adic Localization in Rational Numbers: A Proof of Local Subring Property
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Undergrad Eigen Vectors, Geometric Multiplicities and more....
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MHB Is Every Non-Zero Element in a Finite Ring Invertible?
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MHB Why Are Nilpotent Elements Significant in Ring Theory?
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MHB Applying rotation matrix to make inclined plane flat again
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Undergrad Free Groups - Dmmit & Fooote - Section 6.3
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MHB List the elements of the field F = F3[x] / < x2 + 1 >
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