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.
MHB Linear Algebras or k-algebras - Cohn p. 53-54 - SIMPLE CLARIFICATION
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Solving the Finite Element Method Matrix with Rao - Engineering
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MHB K-algebras, endomorphisms and k-linear mappings
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Permutations of a group (Understanding Theory)
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MHB Regular representations of finite dimensional algebras
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Understanding the Metric Tensor to Tensor Products and Basis Vectors
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MHB Group Algebra - Cohn page 55 - SIMPLE CLARIFICATION
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MHB Noetherian Rings - R Y Sharp - Chapter 8 - exercise 8.5
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Understanding the Inner Product and Dot Product in Linear Algebra
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MHB Noetherian Rings - Dummit and Foote - Chapter 15 - exercise 10
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MHB Noetherian Rings - Dummit and Foote - Chapter 15
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Linear operators and change of basis
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How Does kR Equal Zero in Ring Theory?
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The deformation of Lie algebra ?
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Partitioning a Group Into Disjoint Subgroups
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Linear operators & mappings between vector spaces
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Is Associativity Key in Simplifying Multivector Products in Geometric Algebra?
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Eigenvalues and eigenvectors of a non-symmetric matrix?
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Number of ways to select M cohyperplanar points in finite space
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Connection between SU(2) and SO(3)
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MHB Quick Question on Modules and Orthogonal Idempotents
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MHB Finding subgroups and their generators of cyclic group
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MHB Explicit idempotents - Berrick and Keating - Exercise 2.1.5
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What does it mean for a set of vectors to be linearly dependent?
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MHB Endomorphisms of Direct Sums - Berrick and Keating - Exercise 2.1.6 (i)
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MHB Bimodules and Endomorphisms - Berrick and Keating - Exercise 1.2.11 page 33
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MHB Notation for vector coordinates in a given basis
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MHB Help with B&K Exercise 1.2.11 Pg 33: Bimodules and Endomorphisms
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Mathematical Products: Geometric vs. Tensor
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Is -(x^-1) = (-x)^-1 true for all nonzero x in any ring?
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MHB Similar Matrices and Change of Basis
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MHB Isomorphism Between Hom_F (V,W) and M_nxn(F) - theory of vector spaces
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I think I found a flaw in vector combination theory
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MHB Percolation - Measure - Probability
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MHB Bases of functions and Matrices with respect to the bases
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Understanding R₃ in Linear Algebra: A Self-Study Guide
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MHB Matrix Rings - Exercise 1.1.4 (iii) - Berrick and Keating (B&K) - page 12
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Weighted Least Squares for coefficients
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MHB K^n as a K[T]-module - Exercise 1.2.8 (a) - Berrick and Keating (B&K)
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MHB Inverse of adjoint - where is my mistake ?
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How to build a random vector perpendicular to another vector in R3
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How Does Hadlock Prove Every Polynomial of Degree n Has a Symmetric Group Sn?
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Singular Value Decomposition: How Can We Efficiently Use SVD Practically?
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Bases of vector spaces and change of basis
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MHB Matrix Rings - Exercise 1.1.4 (ii) - Berrick and Keating (B&K) - page 12
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MHB Fourth or Lattice Isomorphism Theorem for Modules - clarification
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MHB Proof of Fourth or Lattice Isomorphism Theorem for Modules
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MHB Modules - Decomposibiity of abelian groups
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Trouble setting up to prove unique factorization
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MHB Is Matrix A Invertible Given (AB)C Equals the Identity Matrix?
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MHB System of linear equations, all possible outcomes
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MHB K^n as a K[T]-module - Example 2.1.2
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How Is the Killing Metric Normalized for Compact Simple Groups?
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Finding Lie-Algebra Invariants -- an Explicit Procedure?
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What is the connection between 2-forms, determinants, and cross products in R^3?
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MHB Indecomposable modules - example from Berrick and Keating
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MHB Find matrix representation with respect to the basis
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Ring Theory Problems: Unity vs. Non-Unity
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Decompose a Recipe into Its Constituent Ingredients
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MHB Definition of Direct Product Using UMP - Including Infinite Case
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Why Fields are Necessary for Linear Algebra
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MHB Using the given basis of a vector to prove other basis
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Understanding Adjoint Operators: A Helpful Explanation and Example
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Converting an explicit series to a recursive form
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Fast tridiagonal matrix algorithm
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MHB Infinite Direct Sums and Indexed Sets
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Inhomogeneous Linear System Solutions
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Unique solution to an arbitrary monotonic non-linear system
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MHB Universal Mapping Property of a Direct Sum - Knapp Pages 60-61
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MHB Isomorphism Between External and Internal Direct Sums - Knapp Proposition 2.30
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MHB Direct Sum of n Vector Spaces Over F - Knapp Proposition 2.31 - Pages 61-62
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MHB First Isomorphism Theorem for Vector Spaces - Knapp, Theorem 2.27
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Is the Operation Linear and Bijective?
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Euclidean Algorithm Gaussian Integers
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Best learning material for intro to Linear Algebra?
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MHB Vector Spaces and Their Quotient Spaces - Simple Clarification Requested
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Vectors - are the definitions truly equivalent?
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Positive definite inner product on Lie algebra.
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Any biinvariant metric proportional to Killing metric
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MHB Ideals in Polynomial rings - Knapp - page 146
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Multidimensional fitting of two sets of data
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The Power of SVD in Data Processing: Insights and Examples
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MHB Existence of Finite Fields with p^n Elements
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Adjoint representation vs the adjoint of a matrix
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How Do You Set Up Matrices for Cubic Spline Interpolation?
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MHB Finite Fields - F_4 - Galois Field of Order 2^2
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MHB Why Are the Roots of xf(x) and xg(x) Distinct in Finite Fields?
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MHB Finite Fields and Splitting Fields
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Solve Ax=b Matrix System of Equations: Help Needed
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Meaning of ##\ominus## in Hilbert Spaces
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MHB Integral Domains and Characteristics - Char(D)
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Positive, negative, complex determinants
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MHB Sum Binomials: Proving Numerical Test Result
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Graphs for linear equations/inequalities
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MHB Nature and character of Finite Fields of small order
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Value of Sine(π) - Calc&Graph on Google Play
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Minimizing with constraints and linear function
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Are Faithful Representations the Most Interesting Group Representations?
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Short Exact Sequences and at Tensor Product
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What's the difference between these 2 problems?
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