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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 Why Are the Eigenvalues of This Matrix A and A + φ²B?
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Graduate Eigenvalues / Eigenvectors relationship to Matrix Entries Values
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Undergrad Vector Summing in Physics: Understanding the Mathematical Rules and Exceptions
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Graduate Verifying that a matrix T represents a projection operation
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Graduate Expected Value Partial Trance Density Matrix
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Graduate Relation between unit tangent/normal vectors, curvature, and Lin. Alg.
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MHB Why aren't there coprime integers?
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MHB Understanding Orthogonality in Inner Product Spaces
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Graduate Galois Theory, Differential Equations, and Lie Groups?
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MHB Functions that are injective but not surjective
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MHB Commutativity in the linear transformation space of a 2 dimensional Vector Space
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Graduate What are Symmetric Functions for Polynomial Roots?
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Undergrad Interpolation with 2 variables
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Graduate Ideal of an inversable triangular matrix
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Graduate Function of operators. Series, matrices.
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MHB Definition of epimorphism and equivalence to 'surjectivity'
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MHB Find Sample Solutions for Underdetermined Systems of Linear Equations
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Graduate How do you reduce a matrix with unknown components?
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Graduate Inverse of a special matrix of arbitrary size
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Undergrad Why Does Adding Two Polynomials from a Set Not Always Result in a Vector Space?
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Undergrad Wronskian vs. Determinant in Determining Linear Independence?
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MHB A theorem on Quadratic Forms in Reid's Book not at all clear.
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Undergrad Condition for a number to be a Fibonacci one
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Undergrad Is There a Formula for Unit Eigenvectors?
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MHB What are the functions of a graph in relation to arrow composition?
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MHB What Is the Universal Mapping Property in Free Monoids According to Awodey?
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Graduate Tensors of Free Groups and Abelian groups
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MHB Abstract Algebra Sylow Subgroup
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MHB Solving linear equation application
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Graduate Is A^k a Projection Operator if k is Even/Odd?
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MHB Is a Latin Square always invertible?
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Graduate Commutator of a group is identity?
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Undergrad How to Mathematically describe a plane?
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Undergrad Diagonalizing a Matrix A: The Definition and Process Explained
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Graduate Defining Functions on Tensor Products
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Graduate Why is the Cayley-Hamilton theorem important for matrices?
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Graduate Newton's identities and matrices
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Graduate Fourier Transform, Discrete Forier Transform image processing
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Graduate Is G/H Always an Abelian Group if H is Normal in G?
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MHB Category Theory - Definition of Hom(X,X) in Awodey
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Graduate Can I Write a Hermitian Matrix as A=A^(1/2)AH^(1/2)?
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Graduate What Kind of Tensor Product is v=S:∇I?
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MHB Is My Solution to the Complex Algebraic Expression Correct?
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MHB Quotient rings and homorphic images
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MHB D&F, Ch 10, Proposition 30 - Proof that (3) ===> (4)
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Graduate How write a matrix in terms of determinant and trace?
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MHB Simple question of interpretation - D&F Ch 10 - Proposition 30
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Graduate Simple question of interpretation - D&F Ch 10 - Proposition 30
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Undergrad Why is Understanding Column Space and Null Space Important in Linear Algebra?
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Undergrad Matrix Rank: Meaning, Importance & What It Tells You
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Undergrad Possibly silly linear algebra question
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Undergrad Help with linear transformation problem with variables
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MHB Exact Sequences - Dummit and Foote Ch 10 - Proposition 29
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Graduate What Are the Automorphisms of Z[x]?
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MHB How do I Find the Vector Coordinates to Solve for Trihedral Angle?
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Undergrad How to solve a system with more unknowns than equations?
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MHB Does (ab)^n Always Equal a^n*b^n in an Abelian Group?
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MHB Exact Sequences - Dummit and Foote Ch 10 - Proposition 28
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Undergrad Yaw,Pitch and Roll Multiplication
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Graduate Demonstrating that a mapping is injective
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MHB How can I find the kernel of a homomorphism of finite groups?
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MHB Demonstrating that a mapping is injective
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Graduate Artin's lemma in Galois Theory: when is [E:F] < |G|?
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MHB How Do You List Elements of G/H in Z10 When H={α,β,δ}?
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Graduate Rate-of-strain tensor in cylindrical coords.
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MHB Understanding Finite Quotient Groups: G/H with G=Z6 and H=(0,3)
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MHB Exact Sequences - Lifting Homomorphisms - D&F Ch 10 - Theorem 28
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Graduate Exact Sequences - Lifting Homomorphisms - D&F Ch 10 - Theorem 28
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MHB Direct Products of Modules - Bland - Rings and Their Modules
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MHB Proof that Ha=Hb: Element y in Hb Proven True for Ha
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Graduate Eigenvalue, Eigenvector and Eigenspace
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MHB Using dihedral group in Lagrange theorem
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Graduate (Apparently) simple question rearding module homomorphisms
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Undergrad Do All Subspaces in Rn Have Orthonormal Bases?
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MHB How to Solve Condition Number and LU Decomposition Problems?
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MHB Exact Sequences - extending or lifting homomorphisms
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MHB (Apparently) simple question rearding module homomorphisms
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MHB Split Sequences - D&F Ch 10 Section 10.5
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MHB Help with Vector Questions in a Cartesian Coordinate System
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MHB Why can we show that an other polynomial is irreducible?
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MHB Polynomial Divisibility Problem: Proof & Corollary
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MHB Proving Lagrange Theorem for Finite Group G
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Graduate Prove that U_{m/n_1} (m) ,U_{m/n_k} (m) are normal subgroups
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Undergrad Vector component in different co ordinate system
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Graduate Why is q=0 for Simple Roots in Lie Algebras?
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Graduate Direct Products of Modules - Bland - Proposition 2.1.1 and its proof
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MHB Direct Products of Modules - Bland - Proposition 2.1.1 and its proof
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MHB Basis of a vector space - apparently simple problem
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MHB Basic Question on Modules - Dummit and Foote Chapter 10
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Graduate Rotation and translation of basis to remove cross terms
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Graduate Direct Products of Modules - Bland - Rings and Their Modules
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Graduate What is Known About Zero-th Gaussian Periods of Type (N,r)?
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MHB How to Solve This Algebraic Question About University Competition Winnings?
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Graduate For every positive integer n there is a unique cyclic group of order n
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Graduate Unifying Different Definitions of Adjoint Map
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MHB Finding the projection of a vector.
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MHB How to Use Euclidean Division in $\mathbb{Z}_7$?
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Undergrad Vector equations, possible to solve for x?
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MHB Why is sin(3pi/2) not equal to 1?
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Graduate Component is diagonal in the basis
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