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.
Least k Such that a^k=1 in Finite Ring R
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Correspondence Theorem in Group Theory
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MHB Exact Sequences - Diagrams that 'commute' - Example
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Low-Dimensional Matrix Approximation
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MHB Generalised Quaternion Algebra over K - Dauns Section 1-5 no 19
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MHB Generalised Quaternion Algebra over K - Dauns Section 1-5 no 18
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Question about Hermitian matrices
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Does the characteristic polynomial encode the rank?
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Finding the Sample Mean of a Matrix
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MHB Does the Isomorphism Between Field Extensions Determine the Minimal Polynomial?
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Learning About Number Systems: 2 Basic Questions
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MHB Can Set Union Have an Additive Inverse Like Real Numbers?
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Error in proof for symmetry groups?
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MHB Generalised Quaternion Algebra over K - Dauns Section 1-5 no 17
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Why Does My Matrix Vector Multiplication in FORTRAN Not Work as Expected?
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MHB Matrix rings acting on right R-modules
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MHB Matrix rings acting on right R-modules - Dauns - Exercises 1-5 no 2
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MHB Is RA the Smallest Submodule of M Containing A?
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MHB Linear System-Coset: Solve Exercise & Learn
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What Defines a Simple Magma in Mathematical Structures?
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How do we represent multidimensional data vectors on a 2D plot.
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MHB Direct Products and Sums of Modules - Notation - 2nd Post
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MHB Direct Products and Sums of Modules - Notation
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Null Space of a Matrix and Its Iterates
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Direct sum of the eigenspaces equals V?
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How many equations are needed to solve this system?
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Could someone me to read the following line
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MHB Positive definite matrix problems
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Matrix multiplication, specifically elimination matrices.
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Question about vector space intersection properties
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Is it possible one dimensional plane?
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Linear Algebra: Understanding Matrix as a Linear Transformation
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How does the characteristic of a field affect symmetric bilinear forms?
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Proving When a Tensor is 0: M \cong M \otimes K
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Euclidian and Hyperbolic rotations
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Motivation behind eigenvalue and eigenvector
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The vector space of matrices that commute with A
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Does every permutation of group generators imply an automorphism?
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Remove Known Solution from System of Polynomials?
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MHB How Do You Determine the Image and Kernel of a Linear Map from R^4 to R^2?
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Vector Components and Translation
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Does a Zero Wronskian Imply Linear Dependence for Smooth Functions?
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Criterion for (non)decomposability of a representation?
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Interesting theorem, complex eigenvalues.
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When is algebraic multiplicity = geometric multiplicity?
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What are some simple non-associative binary operations?
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MHB Solving Ideals in Q[x,y]: Cox et al Chapter 1 Section 4
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What is the next step after LU decomposition for solving Ax=b?
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Understanding the Relative Element of a Vector: Definition and Applications
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Estimating measurement error using error from linear regression
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MHB Question on solving system of equations with constants....
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If two matrices have the same determinant, are they similar?
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Is a finite semigroup isomorphic to subsets of some group?
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Understanding Diagonalization and Eigenvalues in Matrix Transformations
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Using linear algebra to tell when your derivation is impossible?
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Linear Algebra 1: my first class
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Conditions for Surjective and Injective linear maps
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Characteristic polynomial has degree n and leading coefficent (-1)^n
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MHB Show that in every set p2 with more than three vectors is linearly dependent.
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Difficulty checking group axioms
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MHB Noetherian Rings: Does R Need to Be Finitely Generated? - Peter
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Can linear algebra used to deal with non linear systems?
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Stable linear transformations under composition
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Discrete time system that is homogenous but not additive
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Does the Jordan Product Share Properties with the Cross Product?
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Geometric understanding of Semi-direct product
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Cauchy expansion of determinant of a bordered matrix
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Surjection between kernel and image of a homomorphism
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Eigenvalue of product of matrices
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MHB Degree of extension invariant upto isomorphism?
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Levenberg-Marquardt Algorithm for more than one function
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What is known about this type of group?
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MHB Prime Polynomials and Irreducible Polynomials
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MHB Simple Question on Polynomial Rings
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Matrix Multiplication and Function Composition
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Limit of two matrices each to the kth power and multiplied
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Learning to Convert Numbers to Different Bases
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How can a diagonal matrix be represented in matrix form?
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Interpolating Data with the Discrete Fourier Transform
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Boolean Rings: System of Switches.
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What Is the Non-Compact Form of the SU(2) Algebra in String Theory?
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Matrix multiplication to addition
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Projective coordinates vs vectors
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What is the efficient way to find the determinant of a matrix?
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What is the significance of Fourier Series in representing functions?
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MHB Solve system of two variables involving 3rd order polynomials
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Relation between spectra of operator and spectrum of a fourier transfo
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MHB Prove A is invertable for all values of theta
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This bigger than grahams number?
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Linear regression with the same X value
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Difference between tensor product and direct product?
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MHB Is Matrix A Invertible?
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Can the Arithmetic Mean of Complex Numbers Be Calculated?
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Principal Components and the Residual Matrix
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Skew Symmetry: Inner Product of Rows & Determinant
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Def. of groups being isomorphic - some motivation.
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Eigen Value Approximation algorithms?
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Find the error in a linear regression
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MHB Can the dimension of a basis be less than the space that it spans?
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MHB Can the adj(A) method be simplified for finding inverses of 4x4 matrices?
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