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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Undergrad Are these two linear maps equivalent?
- roman93
- · Replies 4 ·
Graduate Is the Degree of Q(a) Over Q Correctly Understood?
- Ad123q
- · Replies 1 ·
Undergrad How do you solve equations with matrices?
- 3m0k177y
- · Replies 2 ·
Undergrad Diagonalization and similar matrices
- stripes
- · Replies 3 ·
Graduate What Maps Belong to Aut(S2)/SO(3)?
- lugita15
- · Replies 15 ·
Graduate How to prove the field extension is algebraically closed
- lugita15
- · Replies 8 ·
Graduate Adding a constant times the unit matrix and eigenvalues
- julian
- · Replies 2 ·
Undergrad Good method for checking solutions to linear systems of equations by hand
- I like number
- · Replies 2 ·
Graduate Coefficients of the characteristic equation
- spaghetti3451
- · Replies 3 ·
Graduate How to solve a system of linear inequalities with absolute magnitudes?
- Assaf
- · Replies 1 ·
Undergrad AP vs. CPAP: Which is Best for Sleep Apnea?
- Bipolarity
- · Replies 5 ·
Graduate Is (2X,5) Really an Ideal in Z[X]?
- Ad123q
- · Replies 1 ·
Graduate Difference between product and pullback
- espen180
- · Replies 4 ·
Undergrad Discover the Pattern of PDS Numbers and Find the Nth PDS Number
- shekhar kumar
- · Replies 2 ·
System of Equations: (2x-1)(2y-1)
- juantheron
- · Replies 1 ·
High School What is a nonconstant linear function?
- spoke
- · Replies 10 ·
Graduate Is Every Norm on a Finite-Dimensional Vector Space Induced by an Inner Product?
- owlpride
- · Replies 3 ·
Graduate How to find subgroup of index n in a given group
- Fangyang Tian
- · Replies 2 ·
Undergrad Solbing equation A(u)=B(v) for square matrices A and B
- ivl
- · Replies 4 ·
Graduate Showing multiplicativity for Q: Z[i] → Z/2Z
- RVP91
- · Replies 1 ·
Graduate Proof about a prime between k and 2k.
- cragar
- · Replies 6 ·
Undergrad Can Solving n = x (mod 10x+1) Simplify Factoring Numbers?
- sparsh12
- · Replies 1 ·
Graduate Is the set {cos x, cos 2x, cos 3x, ...} orthogonal under inner product?
- roto25
- · Replies 3 ·
Graduate What is the latest on the Group Extension Problem?
- lugita15
- · Replies 7 ·
Linear independence of polynomial set.
- bamuelsanks
- · Replies 1 ·
Graduate Efficient Anti-Triangular Matrix Multiplications
- mwl
- · Replies 3 ·
Undergrad How Does the Variable x Relate to n in This Divisibility Problem?
- sparsh12
- · Replies 3 ·
Graduate Is Physical Symmetry Limited Due To The Classification Theorem?
- Islam Hassan
- · Replies 2 ·
Graduate Optimizing Bi-Linear Objective Function for Vector Fitting in Flat Space
- sunjin09
- · Replies 14 ·
Undergrad Row reducing matrices before multiplication
- deana
- · Replies 1 ·
Graduate Is 2Z isomorphic to 4Z? (Abstract algebra)
- AdrianZ
- · Replies 3 ·
What are the cosets of the ring R=Z_4[x]/((x^2+1)*Z_4[x])?
- Stephen88
- · Replies 3 ·
High School Is a Matrix of Only Diagonal Ones Always Equal to its Transpose?
- mikedamike
- · Replies 2 ·
Graduate Is a Quadratic Nonresidue of Odd Primes p and q Also a Nonresidue Modulo pq?
- joeblow
- · Replies 2 ·
Undergrad Solving Sum of Integers for Given Constraints
- TriTertButoxy
- · Replies 2 ·
Elements of a Ring: R Has 64 Elements
- AkilMAI
- · Replies 1 ·
Undergrad Graphing Cartesian Products and Unions: Set Theory Sketches
- cubicmonkey
- · Replies 6 ·
Graduate Proof of Sylow: Let G be a Finite Group, H and K Subgroups of G
- moont14263
- · Replies 2 ·
Graduate Implicit isomorphism involved in extension/sub fields/structures?
- StillNihilist
- · Replies 2 ·
Undergrad Nullity of a Matrix: Find the Answer
- student444
- · Replies 1 ·
Graduate Edge Colouring of Bipartite Graphs: Proving Valency Equality
- Stephane G
- · Replies 1 ·
Graduate 3D Transformation of Rectangle to a Plane
- DukeLuke
- · Replies 2 ·
Undergrad What is the Dimension of the Subspace of M2;2 with Zero Diagonal Entries?
- baher
- · Replies 8 ·
Graduate Is Absolute Convergence Required for Evaluating Sums over Rational Numbers?
- zetafunction
- · Replies 4 ·
Can the Kernel of a Ring Homomorphism Equal 12Z or 13Z?
- AkilMAI
- · Replies 4 ·
Graduate What Are the Rules for Element and Subgroup Orders in Group Theory?
- linda300
- · Replies 3 ·
High School Understanding the Paradox of 0 Divided by 0: Is it 0 or Undefined?
- Nano-Passion
- · Replies 65 ·
Graduate Proving Non-Abelian Groups Have Unique Elements with Non-Commutative Properties
- Daniiel
- · Replies 5 ·
High School Choosing the Right Point to Start Building Your Ship
- Trapezoidals
- · Replies 1 ·
Graduate Reflections and Reflection Groups - Basic Geometry
- Math Amateur
- · Replies 3 ·
Graduate Having trouble working with modules
- wizard147
- · Replies 6 ·
Homomorphism of Rings & Is Map f:C->Z a Homo?
- Stephen88
- · Replies 1 ·
Graduate Tensor product of exact sequences in modules
- AdrianZ
- · Replies 6 ·
Graduate Equivalence of definitions for regular representations
- Kreizhn
- · Replies 2 ·
Graduate Short Exact Sequences: Splitting
- jgens
- · Replies 2 ·
What are the Abelian Groups of Order 1000 Containing Specific Elements?
- GreenGoblin
- · Replies 2 ·
Graduate Discover the Proof for Primes: Solving the Mystery of Interesting Sets"
- newchie
- · Replies 5 ·
Graduate Understanding Sylow Subgroups of S4: The Logic Behind Grouping Elements
- will8655
- · Replies 2 ·
Graduate Showing orthonormality condition from Byron and Fuller
- Elwin.Martin
- · Replies 2 ·
Graduate Area of a Triangle and Elliptic Curves - Birch and Swinnerton Dyer Conjecture
- Math Amateur
- · Replies 1 ·
Graduate Euclidean Reflection Groups _ Kane's text
- Math Amateur
- · Replies 1 ·
Graduate How to Handle Zero Eigenvalues in the Generalized Eigenvalue Problem?
- member 399911
- · Replies 2 ·
Undergrad Matrix of a linear transformation for an integral?
- marathon
- · Replies 3 ·
Undergrad Row Vectors vs. Column Vectors - What's the difference?
- Kolmin
- · Replies 5 ·
Graduate Is {S,+,.} with S = {matrix(a,b,a-b,a)|a,b ∊ R} a Field?
- sam_0017
- · Replies 1 ·
Graduate What are the orders of (x,v) and (x,u²) in A x B?
- feyomi
- · Replies 1 ·
Graduate Understanding Group Theory in Physics
- dpa
- · Replies 9 ·
Graduate The definition of 'reducible' in Hungerford's Algebra text
- julypraise
- · Replies 2 ·
Showing a matrix constructed from a unit vector is unitary
- cylers89
- · Replies 3 ·
Graduate Are There Common Patterns in Group Elements and Associativity Axioms in Tables?
- dijkarte
- · Replies 9 ·
Graduate Infinitely many primes in every row of array
- pedja
- · Replies 7 ·
Undergrad Need for Separate Basis for Kernel: Explained by Hello
- vish_maths
- · Replies 5 ·
Undergrad Can Eigenvectors of the Same Eigenvalue Be Orthogonal in a 2x2 Matrix?
- Hassan2
- · Replies 2 ·
Graduate Proving Schwarz inequaltiy - how to begin
- spaghetti3451
- · Replies 1 ·
Undergrad Is 3 Divisible by n if 3 is Divisible by n^2?
- cubicmonkey
- · Replies 4 ·
Graduate Difficult theoretical problem on basis vectors
- spaghetti3451
- · Replies 3 ·
Graduate How to Solve the Extended Sylvester Equation?
- matematikawan
- · Replies 3 ·
Graduate Find the equivalance of AB and BC
- onako
- · Replies 1 ·
Graduate Find T with Subspace S as Kernel of T
- Bacle2
- · Replies 5 ·
Graduate Exponent of matrix/Diagonalization of matrix with repeated eigenvalue
- martizzle
- · Replies 1 ·
Group homomorphism and subgroups
- alberto1
- · Replies 2 ·
Graduate Cancellation Law in Group Theory: Proof and Validity
- dijkarte
- · Replies 8 ·
Graduate Does SO(3) Have Nontrivial Complex 2-Dimensional Representations?
- quasar987
- · Replies 2 ·
Graduate What Does Converting a Matrix to Tridiagonal Form Indicate in Practical Terms?
- svishal03
- · Replies 13 ·
Graduate Understanding Identity Elements in Abstract Binary Operations
- dijkarte
- · Replies 2 ·
Graduate Proving w_i l_j = l_j for simple Weyl reflections
- naima
- · Replies 2 ·
Graduate Having trouble understanding a dimension reduction step in a matrix.
- jenny_shoars
- · Replies 6 ·
Graduate What Is the Condition Number of This Piecewise Function?
- chuy52506
- · Replies 3 ·
Graduate Is the Generated Set of a Group Closed Under Group Operation?
- BrockDoiron
- · Replies 1 ·
Graduate Eigenvalue algorithms for tridiagonal matrices
- Hassan2
- · Replies 2 ·
Graduate Can Abstract Algebra Inspire New Tools for Ruler and Compass Constructions?
- mishima
- · Replies 5 ·
Undergrad Horner's Method vs (x-1)^n: Which is More Accurate for Evaluating Polynomials?
- rukawakaede
- · Replies 9 ·
Undergrad How Do You Solve a Parametric Vector Equation for a Line?
- Tui
- · Replies 13 ·
Undergrad Can the Empty Set Span the Zero Subspace? Insights on Spanning Sets
- jwqwerty
- · Replies 5 ·
Graduate Example of PID and its maximal ideal
- tsang
- · Replies 2 ·
Undergrad Can the Graham-Schmidt Process Start with Any Vector?
- rdfloyd
- · Replies 1 ·
Graduate When is A + A⁻¹ invertible if A is invertible?
- vish_maths
- · Replies 13 ·
Graduate Decompose number in Gaussian interger field
- tsang
- · Replies 3 ·
Graduate Is A + 2A^(-1) Invertible If A Is Invertible?
- vish_maths
- · Replies 8 ·
Undergrad Finding the Product of Primes: A Number Theory Puzzle
- evansmiley
- · Replies 1 ·