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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Graduate Is the dimension of two vector spaces the same if they have equal cardinality?
- rhobymic
- · Replies 2 ·
Undergrad Transpose a matrix whose elements are themselves matrices
- robotsheep
- · Replies 6 ·
Undergrad It is defined that for any matrix A, [itex] A^{0} [/itex] is defined
- Bipolarity
- · Replies 18 ·
High School Multiplying a vector with Square Matrix vs. its transpose
- newphysist
- · Replies 2 ·
Graduate Trying to find a simpler way to calculate this function
- SeventhSigma
- · Replies 2 ·
Undergrad Matrix Alalysis, Matrix Algebra, Linear Algebra, what's the difference?
- nn0p
- · Replies 1 ·
Undergrad Why is that Nullspace of A is subset of nullspace of A^T*A
- iamzzz
- · Replies 2 ·
Graduate How Is an Inner Product Defined on an Abstract Vector Space?
- Lajka
- · Replies 15 ·
If X is a subset of G such that xy = yx for all x, y in X, then <X> is Abelian.
- oblixps
- · Replies 5 ·
Undergrad Eigenvectors and eigenvalues - how to find the column vector
- Tala.S
- · Replies 7 ·
Graduate Explicit expression for inverse of I-A
- peripatein
- · Replies 1 ·
Graduate Does [itex]A^T A[/itex] have an inverse?
- omoplata
- · Replies 5 ·
Undergrad Example of Commutative but Not Associative Binary Operation
- Maths Lover
- · Replies 5 ·
Undergrad Powers of matrices equal to the identity matrix
- Bipolarity
- · Replies 3 ·
Finding Composition Series of Groups
- Poirot1
- · Replies 5 ·
What is a number, and what is it made of?
- JT73
- · Replies 17 ·
Graduate Are Matching Commutation Relations Enough to Prove Lie Algebra Isomorphism?
- parton
- · Replies 2 ·
Graduate A Conjecture on the Collatz Conjecture
- Vodkacannon
- · Replies 1 ·
Undergrad Symmetrical Matrices and Invertibility: Is A Always Invertible If Ax ≠ Ay?
- peripatein
- · Replies 8 ·
Undergrad Solve Problems with Gaussian Random Matrix: Compressed Sensing Senior Project
- giaoduong
- · Replies 1 ·
Graduate Transformation matrix of linear n-dimensional state-space system
- X89codered89X
- · Replies 1 ·
Graduate Do you prefer Topology or Algebra?
- TLRDX91
- · Replies 2 ·
Graduate How to Check for a Non-Abelian Group of Order 21 Using Basic Techniques
- sammycaps
- · Replies 8 ·
Graduate Fermat Numbers - Factor Form Proof
- TaliskerBA
- · Replies 1 ·
Graduate Need proof re prime of the form 8N +/-1
- ramsey2879
- · Replies 4 ·
Undergrad Finding a Matrix that is Similar to A=[1 1;0 1]
- BrainHurts
- · Replies 7 ·
Graduate Actions of Field on Vector Space
- WWGD
- · Replies 1 ·
How can I prove that the homomorphism defined by f(gH)=gJ is well defined?
- Poirot1
- · Replies 2 ·
Undergrad A lemma in the integers from calculus
- Bipolarity
- · Replies 6 ·
High School On Math-Atlas, where does regular Algebra fit in?
- OMGCarlos
- · Replies 2 ·
Undergrad Reduced row echelon form of a square matrix
- Bipolarity
- · Replies 8 ·
Graduate The Cantor-Schreuder-Berstien theorem
- gottfried
- · Replies 4 ·
Undergrad Determinant - best way of introducing determinants on a linear algebra course
- matqkks
- · Replies 3 ·
Graduate Quantum algorithm for order finding
- jhendren
- · Replies 1 ·
Graduate Are the orders of Aut(G) and Inn(G) infinite for an infinite group G?
- STEMucator
- · Replies 6 ·
Graduate Splitting field with Galios group A4
- Jim Kata
- · Replies 7 ·
Undergrad How do congruences work in mod arithmetic?
- mickles
- · Replies 4 ·
Graduate Function Fi Help: Simplifying the (m,n)=d Demonstration
- catala
- · Replies 1 ·
Graduate Proving an inequality for order finding
- jamesa917
- · Replies 2 ·
Graduate Is a Group Homomorphic under Multiplication if it is Not Under Addition?
- Turnyface
- · Replies 9 ·
Graduate Show that a set of functions is linearly independent
- Tala.S
- · Replies 2 ·
Graduate How Can the Dual of V in Terms of Z and W Be Expressed?
- WWGD
- · Replies 1 ·
Undergrad How to read/interpret this equation
- TheMarksman
- · Replies 3 ·
Undergrad How to Find an Explicit Description of a Plane from an Implicit Equation?
- hogrampage
- · Replies 4 ·
Graduate Is the Function f(x) Multiplicative for Modulo and Prime Numbers?
- Texan
- · Replies 6 ·
Graduate Understanding Direct and Inverse Limits
- lugita15
- · Replies 2 ·
Undergrad Prove the set of integers is a commutative ring with identity
- Square1
- · Replies 2 ·
Undergrad What Do C[T]B and B[T]B Mean in Linear Transformations?
- JoeCanada
- · Replies 1 ·
Question about generators and relations.
- Jack3
- · Replies 3 ·
Graduate Number of subgroups of a group G
- dumbQuestion
- · Replies 1 ·
Graduate What Matrices Commute with a Diagonal Matrix with Distinct Eigenvalues?
- jgens
- · Replies 2 ·
Undergrad What is the Significance of Subspaces in Linear Algebra?
- Sasor
- · Replies 9 ·
Is this operator diagonalizable？
- Jack3
- · Replies 1 ·
Graduate Function to generate linearly independent vectors
- sparse_matrix
- · Replies 1 ·
Undergrad Sum_{k=0n} p(k) where p(k) = number of partitions of k
- ozymandius5
- · Replies 1 ·
Undergrad Simplifying E=mc²: Tips and Tricks for Solving Equations
- Antuanne
- · Replies 2 ·
Transforming Vectors: Real-Life Examples Beyond Inclined Planes
- matqkks
- · Replies 2 ·
Undergrad Determinant and geometric representation
- shounakbhatta
- · Replies 2 ·
Undergrad Vector Spaces Help: Definition & Meaning
- christian0710
- · Replies 5 ·
Graduate Line maximizing orthogonal projections
- googleadbot
- · Replies 11 ·
Graduate Understanding Mappings: Injective, Surjective, and Homomorphisms
- STEMucator
- · Replies 4 ·
Undergrad Is a set with a 0 vector linearly independent?
- Sasor
- · Replies 1 ·
Factorization of Polynomials - Irreducibles - Anderson and Feil
- Math Amateur
- · Replies 3 ·
Undergrad A question on invertible matrixes
- kostas230
- · Replies 3 ·
Undergrad Understanding Change of Basis Vector: What it is and How to Use It
- shounakbhatta
- · Replies 2 ·
Graduate Lattice Points on Circle: Determining the Number of Points on the Boundary
- funcalys
- · Replies 6 ·
Undergrad Eigenvalues and characteristic polynomials
- dobedobedo
- · Replies 10 ·
Undergrad Number of vectors needed to Span R^n
- samona
- · Replies 8 ·
Graduate Goldbach Conjecture: Relationship to Even Numbers
- Paul Mackenzie
- · Replies 7 ·
Undergrad Linear Algebra- Onto and One to One Linear Transformations
- Sasor
- · Replies 13 ·
Graduate What Is the Inner Product <V,s> in Complex Vector Projections?
- polaris90
- · Replies 3 ·
Graduate What Are the Axioms and Identities for Two-Dimensional Lie Algebras?
- valtz
- · Replies 6 ·
Undergrad Building a rotational matrix transformation
- adrs
- · Replies 1 ·
Maximizing x1+1.2*x2+1.5*x3 subject to Constraints | Linear Equations
- Tranquillity
- · Replies 22 ·
Undergrad Transform Vector: Real Life Examples
- matqkks
- · Replies 1 ·
Rank & Nullity: 3x3 Matrix w/ Plane Origin & LD Vectors
- Swati
- · Replies 4 ·
Graduate What is the basic assumption behind the Cauchy-Riemann equation?
- iVenky
- · Replies 3 ·
Linear Transformation (Fredholm Alternative Theorem)
- Swati
- · Replies 5 ·
Matrix Transformations from R^n to R^n
- Swati
- · Replies 5 ·
Dynamical Systems and Markov Chains
- Swati
- · Replies 3 ·
Row Space, Column Space and Null Space
- Swati
- · Replies 1 ·
Where is the Mistake? Solving a System of Equations
- Yankel
- · Replies 4 ·
Undergrad Is There a Standard Notation for Matrix Rows and Columns?
- Max.Planck
- · Replies 5 ·
Graduate What Is the Physics Intuition Behind a Complex Vector in a Linear Space?
- Shing
- · Replies 3 ·
Graduate Eigenvalue Q: What if ##\lambda=0##?
- matematikuvol
- · Replies 4 ·
Graduate How Does Re[s]>0 Relate to Laplace Sine Transform Conditions?
- back2square1
- · Replies 1 ·
Graduate Several matrix inverse properties
- pob1212
- · Replies 2 ·
Abelian Groups of Order $2100$: Elements of Order $210$
- Megus1
- · Replies 1 ·
Graduate Proof that there exists a smallest positive linear combination?
- Aziza
- · Replies 1 ·
Graduate Inner Automorphism: Clarifying Notation Confusion
- Gale
- · Replies 1 ·
Graduate Can Order and Size be Equivalent?
- Homo Novus
- · Replies 2 ·
Automorphisms of an extension field
- Bingk1
- · Replies 1 ·
Infinite dimensional vector space
- Swati
- · Replies 7 ·
Graduate A'A and A have the same null space
- aanabtawi
- · Replies 3 ·
Graduate Does a Closed Form Exist for the Harmonic Series?
- Dansuer
- · Replies 2 ·
Undergrad How Do We Calculate the Diagonalize Matrix of a 3x3 Matrix?
- shounakbhatta
- · Replies 19 ·
Linear Algebra and Determinant
- Swati
- · Replies 3 ·
Solving Congruences with Polynomials: A Prime Challenge
- Fantini
- · Replies 5 ·
Graduate What is the best way of describing isomorphism between two vector
- matqkks
- · Replies 3 ·
Graduate FLT Theorem: No Solution for a^p + b^p = c^p, p > 2 | Image Included
- aero_dude
- · Replies 8 ·