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.
Graduate Preconditioned conjugate gradient method
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MHB Unit of Ring Question - Cbarker1
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Graduate A problem on finding orthogonal basis and projection
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Graduate Group Theory: Proving Non-Isomorphism of G_n and G_m
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Graduate Solving Queueing Theory Problem with Matrix Exponential & Matrix Toeplitz Form
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Undergrad How Can I Calculate the Range of Values for Vector Math in 3D Art?
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Undergrad A question about solving a linear program using the Tableau Method
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MHB Matrix Operations: Solving for A+B, AB, BA, AC, and CA
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MHB E2.3 Express T_b^b as the product of three matrices
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Graduate Block Diagonalization - Representation Theory
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Graduate Complex matrix to Block Matrix
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Insights Lie Algebras: A Walkthrough - The Structures
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Graduate The basis of n x n matrices with matrix multiplication
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Graduate Primitive polynomial in GF(4) ?
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Graduate Least squares estimation with quadratic constraints (M*M = 0)
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Undergrad The Multiplication Table is a Hermitian Matrix
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Insights Lie Algebras: A Walkthrough - The Basics
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Undergrad Can the cross product concept be completely replaced by the exterior product?
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Graduate Compressed Sensing: Matching Pursuit
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Undergrad Confused about Gauss's Lemma of Irreducibility
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Undergrad Understanding the cross product and rotations
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Undergrad Mapping a generic quadrilateral onto a rectangle (in 2 dimensions)
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MHB Find an A and b such that Ax=b has the solution set......
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Undergrad Learn Cholesky Algorithm for Reducing Matrices by Thursday
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Graduate Differentiation with matrices/vectors
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Graduate Direct sum and product representation
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Graduate Reducibility tensor product representation
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Insights What is a Linear Equation? A 5 Minute Introduction
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Graduate What is Orthonormal: Definition & Explanation
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MHB Can You Prove These Properties of Normal Subgroups in Group Theory?
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Graduate What is Lie algebra? A 5 Minute Introduction
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Graduate Group Characters: Definition and Applications
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Graduate Definition of Finite Field: Addition and Multiplication Groups
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Graduate Group Theory: Definition, Equations, and Examples
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Graduate What is a Group Representation and How Does it Act on a Vector Space?
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Graduate What Are the Properties of Dihedral Groups?
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Graduate Is There Symmetry in the Signs of Newton's Identities?
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Graduate What are the properties of a dicyclic group?
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Graduate What is Cayley-Dickson construction
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Graduate What is a Commutator Subgroup?
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Graduate Is There an Algebraic Closure for Every Field?
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Graduate What is the Definition and Explanation of a Quotient Group?
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Graduate Definition of Semigroup: Associativity, Idempotence, & Equations
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Graduate What Are Simple Lie Algebras and How Are They Classified?
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Graduate What is a Subgroup? Definition, Equations & Explanation
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Graduate What Are Symmetric Groups and Their Mathematical Significance?
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Graduate How to find the Jordan Canonical Form of a 5x5 matrix and its steps?
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Undergrad Smolyak reduced grid for three dimensions
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Graduate Structure of modulo-integer matrix group GL(r,Z(n))?
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Undergrad Don't understand proof of uniqueness theorem for polynom factorization
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Undergrad Matrix Decomposition Explained: Simple Illustration
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Undergrad The dimensions of locus that is intersection of loci
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Undergrad Stewart's Galois Theory doesn't make sense
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Graduate Highest weight of representations of Lie Algebras
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Undergrad Can Fundamental Theorem Algebra be proven by simple DOF?
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Undergrad Has it been proven that quintic equations cannot be solved by *any* formula?
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Undergrad Markov Process: How to Tell Reversibility & Eigenvalues=1
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Undergrad What's the difference between a ring and a field?
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Undergrad Is the identity of a group unique?
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MHB 25.3 Find the Jordan Normal Form of A
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High School Why Are Determinants Considered Outdated in Modern Linear Algebra?
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Undergrad Looking for deductions to find the angle between vectors
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Undergrad Block Diagonal Matrix and Similarity Transformation
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MHB 290 Expanding this determinant about the the second column....
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MHB 25.1 find all possible Jordan Normal Forms of A
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MHB Are the Vectors S and T in the column of (ABC)
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Undergrad Dot product definition: deriving component form
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MHB Symmetric/Alternating k-linear functions, Wedge Product
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Graduate The product of a matrix exponential and a vector
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Undergrad Vector Space of Alternating Multilinear Functions ....
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High School Finding Bases for Row and Column Spaces
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MHB Show that dim(Ker(SoT))<=dim(KerT)+dim(KerS)
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Undergrad An exponential number algebra problem
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MHB Find $\left[T\right]_\beta^\beta$ for NMH{823}
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High School Composition of elements of SO(4)
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Undergrad How to Determine N from Refraction Angles and Constants?
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Graduate All complex integers of the same norm = associates?
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MHB What is T_alpha^beta in matrix form using e1 and e2?
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MHB So V is not vector over field \Bbb{R}
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MHB (2s+3)([x y]) not sure exactly what we are supposed to do with the 3
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MHB Linear Algebra Rank of a Matrix Problem
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MHB What Is the Basis for the Kernel of the Differential Operator \(D^4-2D^3-3D^2\)?
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MHB 11.3 Give the matrix in standard basis
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MHB Homework: 13s: Critical Thinking Challenge
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MHB Tech Troubleshooting: Starting with Your Cell Phone
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Undergrad Vector math (small angle approximation)
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MHB What are the linear operators S and T?
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MHB 13 is a linear transformation and .......Determine T
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Undergrad Relation Between Cross Product and Infinitesimal Rotations
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Undergrad Strange Dot Product definition
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Undergrad Invariant symbol implies existence of singlet representation
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MHB 10.1 are linear independent ....
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MHB Need some hints on my HW about Linear functionals
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MHB Hill Cipher Attack: Eve Can Crack Alice's Message
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MHB Proving a Subset of a Group is a Group
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Undergrad Anyone familiar with Compressive Sensing (sampling)?
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Undergrad Affine hull and affine combinations equivalence
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MHB Showing the Dual Basis is a basis
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Undergrad What is Kronecker's theorem/lemma for root solutions?
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MHB Check the statements about a 4x5 matrix with rank 2.
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