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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.
Undergrad Why is that Nullspace of A is subset of nullspace of A^T*A
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Graduate How Is an Inner Product Defined on an Abstract Vector Space?
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MHB If X is a subset of G such that xy = yx for all x, y in X, then <X> is Abelian.
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Undergrad Eigenvectors and eigenvalues - how to find the column vector
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Graduate Explicit expression for inverse of I-A
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Graduate Does [itex]A^T A[/itex] have an inverse?
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Undergrad Example of Commutative but Not Associative Binary Operation
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Undergrad Powers of matrices equal to the identity matrix
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MHB Finding Composition Series of Groups
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What is a number, and what is it made of?
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Graduate Are Matching Commutation Relations Enough to Prove Lie Algebra Isomorphism?
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Graduate A Conjecture on the Collatz Conjecture
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Undergrad Symmetrical Matrices and Invertibility: Is A Always Invertible If Ax ≠ Ay?
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Undergrad Solve Problems with Gaussian Random Matrix: Compressed Sensing Senior Project
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Graduate Transformation matrix of linear n-dimensional state-space system
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Graduate Do you prefer Topology or Algebra?
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Graduate How to Check for a Non-Abelian Group of Order 21 Using Basic Techniques
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Graduate Fermat Numbers - Factor Form Proof
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Graduate Need proof re prime of the form 8N +/-1
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Undergrad Finding a Matrix that is Similar to A=[1 1;0 1]
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Graduate Actions of Field on Vector Space
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MHB How can I prove that the homomorphism defined by f(gH)=gJ is well defined?
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Undergrad A lemma in the integers from calculus
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High School On Math-Atlas, where does regular Algebra fit in?
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Undergrad Reduced row echelon form of a square matrix
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Graduate The Cantor-Schreuder-Berstien theorem
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Undergrad Determinant - best way of introducing determinants on a linear algebra course
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Graduate Quantum algorithm for order finding
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Graduate Are the orders of Aut(G) and Inn(G) infinite for an infinite group G?
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Graduate Splitting field with Galios group A4
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Undergrad How do congruences work in mod arithmetic?
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Graduate Function Fi Help: Simplifying the (m,n)=d Demonstration
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Graduate Proving an inequality for order finding
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Graduate Is a Group Homomorphic under Multiplication if it is Not Under Addition?
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Graduate Show that a set of functions is linearly independent
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Graduate How Can the Dual of V in Terms of Z and W Be Expressed?
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Undergrad How to read/interpret this equation
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Undergrad How to Find an Explicit Description of a Plane from an Implicit Equation?
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Graduate Is the Function f(x) Multiplicative for Modulo and Prime Numbers?
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Graduate Understanding Direct and Inverse Limits
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Undergrad Prove the set of integers is a commutative ring with identity
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Undergrad What Do C[T]B and B[T]B Mean in Linear Transformations?
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MHB Question about generators and relations.
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Graduate Number of subgroups of a group G
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Graduate What Matrices Commute with a Diagonal Matrix with Distinct Eigenvalues?
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Undergrad What is the Significance of Subspaces in Linear Algebra?
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MHB Is this operator diagonalizable？
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Graduate Function to generate linearly independent vectors
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Undergrad Sum_{k=0n} p(k) where p(k) = number of partitions of k
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Undergrad Simplifying E=mc²: Tips and Tricks for Solving Equations
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MHB Transforming Vectors: Real-Life Examples Beyond Inclined Planes
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Undergrad Determinant and geometric representation
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Undergrad Vector Spaces Help: Definition & Meaning
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Graduate Line maximizing orthogonal projections
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Graduate Understanding Mappings: Injective, Surjective, and Homomorphisms
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Undergrad Is a set with a 0 vector linearly independent?
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MHB Factorization of Polynomials - Irreducibles - Anderson and Feil
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Undergrad A question on invertible matrixes
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Undergrad Understanding Change of Basis Vector: What it is and How to Use It
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Graduate Lattice Points on Circle: Determining the Number of Points on the Boundary
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Undergrad Eigenvalues and characteristic polynomials
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Undergrad Number of vectors needed to Span R^n
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Graduate Goldbach Conjecture: Relationship to Even Numbers
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Undergrad Linear Algebra- Onto and One to One Linear Transformations
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Graduate What Is the Inner Product <V,s> in Complex Vector Projections?
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Graduate What Are the Axioms and Identities for Two-Dimensional Lie Algebras?
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Undergrad Building a rotational matrix transformation
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MHB Maximizing x1+1.2*x2+1.5*x3 subject to Constraints | Linear Equations
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Undergrad Transform Vector: Real Life Examples
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MHB Rank & Nullity: 3x3 Matrix w/ Plane Origin & LD Vectors
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Graduate What is the basic assumption behind the Cauchy-Riemann equation?
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MHB Linear Transformation (Fredholm Alternative Theorem)
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MHB Matrix Transformations from R^n to R^n
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MHB Dynamical Systems and Markov Chains
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MHB Row Space, Column Space and Null Space
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MHB Where is the Mistake? Solving a System of Equations
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Undergrad Is There a Standard Notation for Matrix Rows and Columns?
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Graduate What Is the Physics Intuition Behind a Complex Vector in a Linear Space?
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Graduate Eigenvalue Q: What if ##\lambda=0##?
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Graduate How Does Re[s]>0 Relate to Laplace Sine Transform Conditions?
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Graduate Several matrix inverse properties
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MHB Abelian Groups of Order $2100$: Elements of Order $210$
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Graduate Proof that there exists a smallest positive linear combination?
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Graduate Inner Automorphism: Clarifying Notation Confusion
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Graduate Can Order and Size be Equivalent?
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MHB Automorphisms of an extension field
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MHB Infinite dimensional vector space
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Graduate A'A and A have the same null space
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Graduate Does a Closed Form Exist for the Harmonic Series?
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Undergrad How Do We Calculate the Diagonalize Matrix of a 3x3 Matrix?
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MHB Linear Algebra and Determinant
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MHB Solving Congruences with Polynomials: A Prime Challenge
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Graduate What is the best way of describing isomorphism between two vector
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Graduate FLT Theorem: No Solution for a^p + b^p = c^p, p > 2 | Image Included
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Graduate Pells equation for D prime and =n*n-3
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Graduate Solving tri-linear interpolation parameters
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Graduate Does every element of order 2 in a finite group have a complement in the group?
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Graduate Why do we say morphisms preserve the structure/operations?
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Undergrad Linear combination of two numbers
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Undergrad How Can I Infer the Expression of A in a Non-Trivial Solution?
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