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 Practice Test Solutions: Derivation of [ -4/3, 1/3, 1 ] with Red Correction
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Undergrad Is subtraction an operation on Z?
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MHB How can we prove that the center of a ring is a subring?
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MHB Does $(A^T)^2=(A^2)^T$ for $2\times 2$ matrices?
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Graduate Classification of semi-simple Lie groups
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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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