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 Does the triple product being zero guarantee coplanarity of vectors?
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MHB What Are the Roots and Generators of the Polynomial $g$ in $\mathbb{F}_{16}$?
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MHB Verifying Subgroup Notation of $H(x_0)$ in $A(S)
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MHB The automorphic group is abelian
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MHB Proving the Normality of Inner Automorphism Group in Group Theory
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Confusion about eigenvalues of an operator
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MHB Which function do we define to show the homomorphism?
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MHB Does \( A_4 \) Have a Subgroup of Order 6?
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MHB Dimension & Subspace of $\mathbb{R}^3$
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MHB Subspace spanned by subsets of polynomials
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MHB How can the Wronskian be used to determine linear independence?
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Definition of an operator in a vector space
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MHB Every set of k+1 elements is dependent.
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MHB Why is theta restricted to [0,pi] in mathematics and physics?
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MHB Symmetric Polynomials s1,s2,s3
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MHB Yet Another Basic Question on Linear Transformations and Their Matrices
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MHB Distributing the Product of Functions over Composition of Functions
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MHB If a subset T of S is dependent, then S itself dependent
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Sextenions (6D hypercomplex numbers)
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MHB Find Equation of Plane Perpendicular to Line $l(t)$
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MHB Proving Span of $\mathbb{R}^2$ Using Sets of Vectors
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MHB Checking if an interval value satisfies an expression
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Supremum = least upper bound, anything > supremum?
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MHB Isomorphism between $M$ and $S_3$: Finding the Corresponding Function
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MHB Proving That $G$ is Abelian When $G/Z$ is Cyclic
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MHB What is the center of $GL_n(\mathbb{R})$?
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MHB Understanding Aut(G) Isomorphism to Z2
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MHB Finding the Center of $S_n$: Understanding the Commutativity of Disjoint Cycles
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MHB Is $\text{Aut}(\mathbb{Z}_p)$ isomorphic to $\mathbb{Z}_{p-1}$?
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MHB Proving Evenness of m and r in σ ∈ Sn
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Quotient of group by a semidirect product of subgroups
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MHB Symmetric Polynomials Involving Discriminant Poly
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MHB How can we find a generator of the multiplicative group of a finite field?
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What is the connection between cofactors, determinants, and matrix inverses?
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Can I bra through a Modulus in Quantum Mechanics?
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MHB How Does Burnside's Lemma Calculate the Number of Distinct Colored Cubes?
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MHB Proving Finite Groups: A Contradiction in Subgroups - Hello! (Wave)
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MHB How to Express a Force as a Sum of Parallel and Perpendicular Components?
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How to find basis vectors for a+ ax^2+bx^4?
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MHB Are These Row Equivalent Matrices? Why Am I Getting Different Results?
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MHB What Do the Elements of $\mathbb{Z}_2 \times \mathbb{Z}$ Look Like?
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MHB Does This Cayley Table Accurately Represent the Dihedral Group \(D_6\)?
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MHB Matrices of Linear Transformations .... Example 2.6.4 - McInerney
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MHB (Very) Basic Questions on Linear Transformations and Their Matrices
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Am I Hallucinating? (confusion in geometric algebra)
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How Is the Abelianization of a Lie Group Defined?
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MHB Pinwheel Symmetry Formulas Exposed
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Definition of regular Lie group action
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MHB Quotient Groups & how to interpret notation?
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MHB Guarantee positiveness of an expression
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Approximate a spectrum from a series of measurements
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MHB Why Do Different Texts Present Bilinear Forms Differently?
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Is this complex vector orthogonal to itself?
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Polynomial splits over simple extension implies splitting field?
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Definition of a Cone: Does it Include Zero Vector?
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MHB Quartic polynomial has at least one real root
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MHB Vector Spaces .... Linear Dependence and Indepence .... Basic Proof Required
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MHB Help with functional analysis questions
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Langlands Programs: Learn What They Are & Why You're Curious
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Interpretation: Solution to a set of Linear Equations
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Proof of Invertibility: Linear Map's Surjectivity and Injectivity Condition
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MHB Proof of Gρ(x)=ρGxρ−1 in Symmetric Groups
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MHB Finding a Cayley Table for a Groupoid: an Example
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Lowest eigenstate of hopping matrix
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Elements of semigroup commuting with subgroup
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Can you rearrange vectors in a set? And another misc questn.
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Issue with behavior of ray-plane intersection algorithm
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Looking for a nice basis for the general linear group
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What is the largest number of mutually obtuse vectors in Rn?
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Solution of a certain NxN matrix, when N->∞
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What shape does SO(3)/A5 describe and how can it be visualized?
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Is this proof of an ##\infty## norm valid?
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MHB Proving Existence of $N$ for $a^N=e$ in Finite Group $G$
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Am I understanding "supremum" correctly
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Find Lorentzian Scalar Product on 4-D Lie Algebra G
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MHB S3 Group Symmetry: $(xy)^2 \ne x^2y^2$ Example
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MHB Group R^× isomorphic to the group R?
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MHB Showing that a group is non-abelian
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MHB Prove function is a homomorphism
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Question about induced matrix norm
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MHB Vector or Parametric Form of the Equation of a Plane P
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How to determine the smallest subspace?
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MHB Prove Abelian Group: $(a \cdot b)^n = a^n \cdot b^n$
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MHB Two Versions of the Correspondence Theorem for Vector Spaces
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MHB Sum of Two Subspaces and lub - Roman, Chapter 1, page 39
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Understanding Equivariant Maps in Group Theory
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Understanding POVMs and Quantum Information in Corollary Proofs
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MHB Understand Theorem 2.15 - Bruce Cooperstein's Advanced Linear Algebra
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MHB Correspondence Theorem for Vector Spaces - Cooperstein Theorem 2.15
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Calculating Square Root of a Matrix in Quantum Information Theory
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MHB Can this system of equations be solved analytically?
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Can an orthogonal matrix be complex?
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MHB What is the Simplest Form of a Field Extension of the Reals?
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MHB Vector Spaces and Linear Transformations - Cooperstein Theorem 2.7
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What are the elements of Lie algebra in the case of a single generator?
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MHB Is V a Subspace of P2?
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Why are linear equations usually written down as matrices?
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MHB Prove F(a,b)=F(a)(b)=F(b)(a) in Field Extensions
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Factorization of floor functions of fractions
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Ellipse Rotation: Solving with Normal Rotation Matrix
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