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.
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-307.17.1 Show that S and T are both linear transformations
- karush
- · Replies 7 ·
Undergrad Mistake in Schaum's Group Theory?
- jstrunk
- · Replies 52 ·
Either or statement from Abstract Algebra Book
- cbarker1
- · Replies 16 ·
Solving Nilpotent Problem in Abstract Algebra
- cbarker1
- · Replies 3 ·
Practice Test Solutions: Derivation of [ -4/3, 1/3, 1 ] with Red Correction
- karush
- · Replies 3 ·
Undergrad Is subtraction an operation on Z?
- opus
- · Replies 10 ·
How can we prove that the center of a ring is a subring?
- cbarker1
- · Replies 2 ·
Does $(A^T)^2=(A^2)^T$ for $2\times 2$ matrices?
- karush
- · Replies 1 ·
Graduate Classification of semi-simple Lie groups
- metroplex021
- · Replies 1 ·
Graduate Preconditioned conjugate gradient method
- Simon666
- · Replies 1 ·
Unit of Ring Question - Cbarker1
- cbarker1
- · Replies 2 ·
Graduate Orthogonal basis for span{x, x^2, x^3} using inner product on [0,1]
- visharad
- · Replies 1 ·
Graduate Group Theory: Proving Non-Isomorphism of G_n and G_m
- arz2000
- · Replies 1 ·
Graduate Matrix exponential of infinite block Toeplitz matrix in phase-type distribution
- Päällikkö
- · Replies 1 ·
Undergrad How Can I Calculate the Range of Values for Vector Math in 3D Art?
- davidjonas
- · Replies 1 ·
Undergrad Setting up tableau method when feasible region excludes origin
- Hells_Kitchen
- · Replies 1 ·
Matrix Operations: Solving for A+B, AB, BA, AC, and CA
- karush
- · Replies 2 ·
E2.3 Express T_b^b as the product of three matrices
- karush
- · Replies 2 ·
Graduate Block Diagonalization - Representation Theory
- nigelscott
- · Replies 20 ·
Graduate Complex matrix to Block Matrix
- Gaso
- · Replies 1 ·
Insights Lie Algebras: A Walkthrough - The Structures
- fresh_42
- · Replies 4 ·
Graduate The basis of n x n matrices with matrix multiplication
- etnad179
- · Replies 1 ·
Graduate Primitive polynomial in GF(4) ?
- mahesh_2961
- · Replies 1 ·
Graduate Least squares estimation with quadratic constraints (M*M = 0)
- Michael02
- · Replies 1 ·
Undergrad The Multiplication Table is a Hermitian Matrix
- jaurandt
- · Replies 15 ·
Insights Lie algebras: terminology and theorems for physicists
- fresh_42
- · Replies 8 ·
Undergrad Can the cross product concept be completely replaced by the exterior product?
- SVN
- · Replies 5 ·
Graduate Compressed Sensing: Matching Pursuit
- EngWiPy
- · Replies 1 ·
Undergrad Relating different forms of Gauss's lemma on irreducibility
- swampwiz
- · Replies 4 ·
Undergrad Why does the cross product give a perpendicular vector with magnitude involving sine?
- Avatrin
- · Replies 11 ·
Undergrad Mapping a generic quadrilateral onto a rectangle (in 2 dimensions)
- HenryHallam
- · Replies 1 ·
Finding matrix A and vector b from parametric solution set
- TomSavage
- · Replies 4 ·
Undergrad Learn Cholesky Algorithm for Reducing Matrices by Thursday
- stunner5000pt
- · Replies 1 ·
Graduate Differentiation with matrices/vectors
- mikeph
- · Replies 1 ·
Graduate Direct sum and product representation
- Yoran91
- · Replies 1 ·
Graduate Reducibility tensor product representation
- Yoran91
- · Replies 1 ·
Insights What is a Linear Equation? A 5 Minute Introduction
- Greg Bernhardt
- · Replies 1 ·
Graduate Orthonormal vectors and functions
- Greg Bernhardt
- · Replies 1 ·
Can You Prove These Properties of Normal Subgroups in Group Theory?
- cbarker1
- · Replies 2 ·
Graduate What is Lie algebra? A 5 Minute Introduction
- Greg Bernhardt
- · Replies 1 ·
Graduate Group Characters: Definition and Applications
- Greg Bernhardt
- · Replies 1 ·
Graduate Definition of Finite Field: Addition and Multiplication Groups
- Greg Bernhardt
- · Replies 1 ·
Graduate Group Theory: Definition, Equations, and Examples
- Greg Bernhardt
- · Replies 1 ·
Graduate What is a Group Representation and How Does it Act on a Vector Space?
- Greg Bernhardt
- · Replies 1 ·
Graduate What Are the Properties of Dihedral Groups?
- Greg Bernhardt
- · Replies 1 ·
Graduate Is There Symmetry in the Signs of Newton's Identities?
- Jhenrique
- · Replies 1 ·
Graduate What are the properties of a dicyclic group?
- Greg Bernhardt
- · Replies 1 ·
Graduate What is Cayley-Dickson construction
- Greg Bernhardt
- · Replies 1 ·
Graduate What is a Commutator Subgroup?
- Greg Bernhardt
- · Replies 1 ·
Graduate Is There an Algebraic Closure for Every Field?
- Greg Bernhardt
- · Replies 1 ·
Graduate What is the Definition and Explanation of a Quotient Group?
- Greg Bernhardt
- · Replies 1 ·
Graduate Semigroup definition and properties of identities and zeros
- Greg Bernhardt
- · Replies 1 ·
Graduate What Are Simple Lie Algebras and How Are They Classified?
- Greg Bernhardt
- · Replies 1 ·
Graduate Subgroup definition and normal subgroups
- Greg Bernhardt
- · Replies 1 ·
Graduate What Are Symmetric Groups and Their Mathematical Significance?
- Greg Bernhardt
- · Replies 1 ·
Graduate How to find the Jordan Canonical Form of a 5x5 matrix and its steps?
- TMO
- · Replies 1 ·
Undergrad Smolyak reduced grid for three dimensions
- Frank Einstein
- · Replies 1 ·
Graduate Structure of modulo-integer matrix group GL(r,Z(n))?
- lpetrich
- · Replies 17 ·
Undergrad Don't understand proof of uniqueness theorem for polynom factorization
- swampwiz
- · Replies 8 ·
Undergrad Can anyone illustrate matrix decomposition simply?
- mohammed El-Kady
- · Replies 7 ·
Undergrad The dimensions of locus that is intersection of loci
- swampwiz
- · Replies 10 ·
Undergrad Stewart's Galois Theory doesn't make sense
- swampwiz
- · Replies 3 ·
Graduate Highest weight of representations of Lie Algebras
- physicist_2be
- · Replies 1 ·
Undergrad Can Fundamental Theorem Algebra be proven by simple DOF?
- swampwiz
- · Replies 7 ·
Undergrad Has it been proven that quintic equations cannot be solved by *any* formula?
- swampwiz
- · Replies 10 ·
Undergrad How can a Markov process be reversible and have multiple eigenvalues equal to 1?
- Mentz114
- · Replies 12 ·
Undergrad What's the difference between a ring and a field?
- swampwiz
- · Replies 9 ·
Undergrad Is the identity of a group unique?
- Lebnm
- · Replies 2 ·
25.3 Find the Jordan Normal Form of A
- karush
- · Replies 7 ·
High School Why Are Determinants Considered Outdated in Modern Linear Algebra?
- Buffu
- · Replies 26 ·
Undergrad Looking for deductions to find the angle between vectors
- opus
- · Replies 12 ·
Undergrad Block Diagonal Matrix and Similarity Transformation
- nigelscott
- · Replies 1 ·
Finding cofactor expansion along the second column
- karush
- · Replies 2 ·
25.1 find all possible Jordan Normal Forms of A
- karush
- · Replies 1 ·
Are the Vectors S and T in the column of (ABC)
- TomSavage
- · Replies 1 ·
Undergrad Distributive property of the dot product over vector sums
- ibkev
- · Replies 5 ·
Symmetric/Alternating k-linear functions, Wedge Product
- joypav
- · Replies 2 ·
Graduate The product of a matrix exponential and a vector
- Aleolomorfo
- · Replies 4 ·
Undergrad Proving T equals sum of a_I dx_I for alternating k-forms
- Math Amateur
- · Replies 8 ·
High School Finding Bases for Row and Column Spaces
- a1234
- · Replies 1 ·
Show that dim(Ker(SoT))<=dim(KerT)+dim(KerS)
- Denis99
- · Replies 2 ·
Undergrad An exponential number algebra problem
- Edge5
- · Replies 6 ·
Find $\left[T\right]_\beta^\beta$ for NMH{823}
- karush
- · Replies 4 ·
High School Composition of elements of SO(4)
- jk22
- · Replies 2 ·
Undergrad How to Determine N from Refraction Angles and Constants?
- GabrielCoriiu
- · Replies 6 ·
Graduate All complex integers of the same norm = associates?
- Ventrella
- · Replies 1 ·
What is T_alpha^beta in matrix form using e1 and e2?
- karush
- · Replies 10 ·
So V is not vector over field \Bbb{R}
- Another1
- · Replies 1 ·
(2s+3)([x y]) not sure exactly what we are supposed to do with the 3
- karush
- · Replies 3 ·
Linear Algebra Rank of a Matrix Problem
- Heeyeyey
- · Replies 2 ·
What Is the Basis for the Kernel of the Differential Operator \(D^4-2D^3-3D^2\)?
- karush
- · Replies 1 ·
11.3 Give the matrix in standard basis
- karush
- · Replies 2 ·
Critical thinking homework challenge
- karush
- · Replies 7 ·
Help with step 3 of my algebra problem
- karush
- · Replies 4 ·
Undergrad Vector math (small angle approximation)
- Boltzman Oscillation
- · Replies 10 ·
What are the linear operators S and T?
- karush
- · Replies 8 ·
Find T(1,2,3) given three linear transformation values
- karush
- · Replies 6 ·
Undergrad Relation Between Cross Product and Infinitesimal Rotations
- dm4b
- · Replies 22 ·
Undergrad Strange Dot Product definition
- TonyEsposito
- · Replies 3 ·
Undergrad Invariant symbol implies existence of singlet representation
- AndrewGRQTF
- · Replies 3 ·