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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 Find Matrix A: Determining Inverse of Matrices
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Undergrad How to show that commutative matrices form a group?
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Undergrad Representing nonlinear functions involving vectors
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MHB Proof of vector dimensions using inequalities
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MHB What distinguishes a Field from a Ring?
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MHB Kernel of Linear Map $\theta$ in $\mathbb{F}_{q^n}$
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Undergrad How to properly understand finite group theory
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Undergrad The cases in proving that group of order 90 is not simple
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Undergrad Understanding a Sylow theory proof
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Undergrad Singular matrices and complex entries
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Undergrad Understanding Proof: Clarifying the Relationship Between K and H
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MHB Find Linear Mapping: Help Solving $V \setminus (W_1 \cup \cdots \cup W_m)$
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MHB Vector space - Prove or disprove
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MHB Multiplicative Inverse Proof Problem
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MHB Additive & Multiplicative Properties of Ordered Field
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Undergrad Can Multiplicative Cosets Form a Group for a Subring in a Ring Homomorphism?
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MHB How to Visualize Vectors and Subspaces in a Coordinate System?
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MHB What are the basis subsets of a 5-element vector space with additional vectors?
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MHB Sum of basis elements form a basis
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MHB Notion of a ring with identity 1=0
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Graduate Representation of elements of the Grassmannian space
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MHB The axioms of a vector space are satisfied
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Undergrad DSP: Recurrence Relations in a Linear Algebra Equation
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MHB Transitivity as property of relation
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MHB Are Non-Ordered Numbers More Than Complex Numbers?
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MHB Reading Comprehensive - Transitivity Relation
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Graduate Solution?: Quintic Equation from Physical System
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Graduate Partial of the divergence of a gradient?
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Undergrad Images of elements in a group homomorphism
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Undergrad Adjoint Representation Confusion
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MHB Ordered numbers - limited or not
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Undergrad Showing that the union of conjugates is less than |G|
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MHB Irreducible factors of polynomial
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MHB -412.7.3 decide if cosets of H are the same
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Undergrad Why must the group N be finite in this result?
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Undergrad Ladder operators and SU(2) representation
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MHB What are Left Cosets and How Do You Find Them?
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Undergrad The quotient group of a group with a presentation
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MHB Is Triviality the Same as Intuition?
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Undergrad Enumerating the cosets of a kernel
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Undergrad Proof of "Quotienting Out" by M: Is it True?
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MHB Oblique projection of a vector on a plane
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Undergrad Projection Matrix: Expressing Operator with Vectors
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MHB Proving the Dimension Bound for Intermediate Field Extensions
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MHB The polynomial is irreducible over Q(i)
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Graduate Lagrange multipliers on Banach spaces (in Dirac notation)
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Undergrad Karush Khan Tucker Gradient Conditions
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Undergrad Use of the density function in physics
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MHB Question on subgroup and order of the elements
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MHB Is ψ an Isomorphism from H to G?
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MHB 412.42 - Finding elements in S_3
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MHB Proving matrix group under addition for associative axiom
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MHB -412.4.2 list elements and subgroups oa Z_30
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Undergrad Parametrization manifold of SL(2,R)
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MHB -m99.54 List possible Jordan Canonical forms for A.
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MHB How about this? What is the inverse of a permutation cycle?
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MHB Find components of map with respect to basis
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MHB Linear Maps and Eigenvalues/Eigenvectors
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MHB Monoids .... Monos and Injective Maps .... Awodey, Example 2.3, Page 30 ....
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Undergrad Proving that a subgroup is normal
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MHB Help w/ Awodey Exercise 5, Ch. 1: Functor from Slice Category to Any Category
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MHB How to Approach Awodey Exercise 8, Chapter 1 in Category Theory?
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MHB Is this the only right proposition?
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Undergrad Canonical form derivation of (L1'AL1)
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MHB Rel as a Category .... Awodey Section 1.4, Example 4, Pae 7 ....
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MHB Why is the order of b equal to the order of G/H ?
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MHB Diagram Chasing .... Simmons Example 2.1.2 .... .... very basic question ....
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MHB Determine a matrix C such that T = CA has echelon form
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MHB Linear Map, T^p(x)=0, Show Linear Independence
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MHB How can the product of two categories help us understand groups?
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Undergrad Can this type of transformation be non-linear?
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Undergrad Polynomial Ideals: Struggling with Ring Ideals
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MHB Number of Homomorphisms from $\mathbb{Z}_4$ to $S_4$: A Brief Exploration
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Undergrad Product of Categories .... Product of Groups as an example ...
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MHB *aa3.2 Let Q be the group of rational numbers under addition
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MHB Show that there is a basis C of V so that C* = Λ
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Undergrad Are three zeros always required in the third row for a matrix in echelon form?
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MHB Show by induction that the determinant is equal to n
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Undergrad Proof of 'Any Finite Dimensional Unitary Space is Complete'?
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MHB Orders of Elements in Groups $$\Bbb{Z}_{12}, U(10), U(12), D4$$
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Undergrad Calculating Dyadic Green's Function Expression
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MHB Find quantity of vector projection
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MHB Reconciling Awodey, Aluffi & Leinster's Products as Categories
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MHB Solving the Matrix Transformation: $B \to C$
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MHB Show equivalence of propositions
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MHB Eigenvalues are real numbers and satisfy inequality
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MHB Primitive Elements and Free Modules .... ....
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MHB Can a Unique Polynomial Satisfy Specific Integral Equations?
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MHB Change the form of equation of surface
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MHB What Are the Minimal Polynomials of Matrix Powers?
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MHB Category Theory .... Groups and Isomorphisms .... Awodey, Section 1.5 .... ....
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MHB Basis for set of solutions for linear equation
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MHB How Do We Find the Kernel and Image Bases Using Matrix C?
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MHB Is D3 Abelian Based on Its Cayley Table?
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MHB Is $s$ the unique vector that spans the solution space $L(A,0)$?
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MHB Is the Kernel of a Group Homomorphism isomorphic to $\mathbb{Q}^2$?
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MHB Which of the group axioms are satisfied?
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Undergrad Subspaces in Axler's Famous Textbook
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Undergrad Understand Wigner-Eckart Theorem & Dimensionality of Vectors
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MHB Why Are Inverses Unique in a Category?
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