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 Eigenvalues of the square of an operator
- StatusX
- · Replies 12 ·
Graduate Factoring x^5+x+1 over a finite field using modulo arithmetic
- amcavoy
- · Replies 1 ·
Graduate Proving Separability of E(k)/E When k is Separable Over E
- Palindrom
- · Replies 3 ·
Graduate Eigenspace and lin dependency proof
- EvLer
- · Replies 8 ·
Graduate A.B= m1, B.A=m2, m1 and m2 diagonal matrices
- arivero
- · Replies 9 ·
Undergrad How do I find the eigenvectors for this matrix?
- mprm86
- · Replies 9 ·
Undergrad Understanding Eigenvectors: Solving for Eigenvectors of a 2x2 Matrix
- mprm86
- · Replies 1 ·
Graduate Is {1/n^x} an Element of l^p for Various Values of x and p?
- Ed Quanta
- · Replies 7 ·
Graduate What are the prerequisites for understanding surgery obstruction groups?
- Euclid
- · Replies 9 ·
Undergrad [sin(t) , cos(t), e^t] are these linearly dependent?
- Cecile
- · Replies 14 ·
Graduate Are Generalized Pell Numbers Already Known and What are Their Properties?
- T.Rex
- · Replies 2 ·
Undergrad Natural Group Homomorphism in Action
- ti89fr33k
- · Replies 3 ·
Undergrad Can We Conclude a=b from a.b=a.c?
- kidia
- · Replies 11 ·
Graduate What are the Matrices of the Regular Representation for the Cyclic Group C2?
- PhysKid24
- · Replies 2 ·
Undergrad Eigenvectors and using them in matrix algebra.
- Zhiv
- · Replies 2 ·
Undergrad What are isomorphisms and how do they relate to vector spaces in linear algebra?
- TimNguyen
- · Replies 2 ·
Undergrad Linear regression and break-even analysis for yearbook production
- alyssa
- · Replies 2 ·
Undergrad How is the Definition of Angle in Linear Algebra Derived?
- danne89
- · Replies 9 ·
Graduate Proof: Group G of Order 2n Has Elements of Order 2
- astronut24
- · Replies 2 ·
Graduate Proving F-Isomorphism Between E and K
- Palindrom
- · Replies 16 ·
Graduate Hi, does anyone know the character table for the inversion group?
- PhysKid24
- · Replies 2 ·
High School Perpendicular Lines in Three Space
- dogma
- · Replies 4 ·
Graduate Does the Jacobi symbol work for x² ≡ -23 (mod 236)?
- b0mb0nika
- · Replies 6 ·
Undergrad What Is the Difference Between a Subgraph and an Induced Subgraph?
- JaeSun
- · Replies 5 ·
Undergrad Handling Singular matrices in Algorithms
- beanz
- · Replies 4 ·
Graduate Finding the Nth Term in a Series with Different Factors
- StatusX
- · Replies 4 ·
Graduate A certain finite group is of order 10
- PhysKid24
- · Replies 3 ·
Undergrad For what values of paramater form a spanning set for P3
- FrogPad
- · Replies 8 ·
Undergrad Does Multiplying Scalars and Vectors Always Yield Zero?
- kidia
- · Replies 2 ·
High School Is the 2-Dimensional Cross Product Equivalent to a 90-Degree Rotation?
- Magos
- · Replies 13 ·
Graduate What does singularity mean for a matrix?
- gnome
- · Replies 11 ·
Graduate What Are the Embeddings of K in C?
- Palindrom
- · Replies 2 ·
Graduate Finite cyclic groups, subgroups of order 5, and normalizers
- cauchys_pet
- · Replies 4 ·
Graduate Calculating values of the zeta function
- c_d
- · Replies 2 ·
Graduate Proof of Binary Quadratic Forms and Modulo Squares with Hint
- b0mb0nika
- · Replies 11 ·
Graduate Order of Group Elements in Abelian and Non-Abelian Groups
- astronut24
- · Replies 7 ·
Graduate Quadric surface subscript notation in Forsyth & Ponce
- gnome
- · Replies 2 ·
Undergrad Finding A^3: Multiplication of Matrices
- EvLer
- · Replies 2 ·
Graduate Is It Possible to Prove Normality of Polynomials?
- Zurtex
- · Replies 5 ·
Graduate What is the construction method for creating complex numbers of any dimension?
- Owen Holden
- · Replies 12 ·
Graduate Proving G is Abelian: A Group Theory Case
- mansi
- · Replies 2 ·
Graduate Solving the Group Theory Conundrum: Proving 'a' is in Z(G)".
- astronut24
- · Replies 3 ·
Undergrad Vector, Sub, Column, and Row Spaces
- erraticimpulse
- · Replies 26 ·
Graduate Plan of attack for showing irreducibility?
- justriot
- · Replies 6 ·
Undergrad Standard Basis Math: Find Point X w/ B-Coord Vector X
- EvLer
- · Replies 2 ·
Graduate Irrational digits countably infinite?
- Crosson
- · Replies 6 ·
Graduate Finding Conjugacy Classes in D5 Group
- PhysKid24
- · Replies 10 ·
Graduate Is There a Generalization of Fermat's Last Theorem?
- hedlund
- · Replies 11 ·
Undergrad What is the closest we have come to
- whatzzupboy
- · Replies 9 ·
Graduate A Simple Explanation of Zeta Function Analytic Continuation and Its Results
- franic
- · Replies 5 ·
Graduate Proof Problem: Show f(x-1)=f(x) for All x ∈ E
- Cyannaca
- · Replies 4 ·
Why does infinity plus infinity equal infinity?
- chound
- · Replies 24 ·
Graduate Is the Rank of Matrix A Equal to the Rank of Matrix M?
- EvLer
- · Replies 4 ·
Undergrad How to derive that the product of eigenvalues equals the determinant
- gnome
- · Replies 29 ·
Undergrad Does matrix A belong to span(A_1,A_2, )
- FrogPad
- · Replies 3 ·
Undergrad Approximating Pi and e with Linear Algebra
- derekmohammed
- · Replies 3 ·
Undergrad How to Find the Inverse of a Matrix Modulo 26?
- SomeRandomGuy
- · Replies 24 ·
Graduate Why powers repeat mod 10, mod 100 and mod 1000
- abertram28
- · Replies 2 ·
Graduate Is x^6-2x^3-1 Irreducible Over Q?
- T-O7
- · Replies 4 ·
Graduate Proof of composite linear transformations
- Flyboy27
- · Replies 2 ·
Graduate What are the most general and most specific elements in a poset?
- EvLer
- · Replies 11 ·
Graduate What Are the Eigenvalues and Characteristic Polynomials of a Special 4x4 Matrix?
- tanyas
- · Replies 7 ·
Graduate Proving Non-Trivial Trees Have At Least 2 Vertices with Degree <2
- Reshma
- · Replies 26 ·
Graduate Calculating Coefficients for Dirichlet Series Expansion of a Function
- eljose
- · Replies 2 ·
Undergrad Is honours linear algebra as abstract as analysis and algebra courses?
- bor0000
- · Replies 4 ·
Graduate Finding n so 40n is a fifth power, 500n a sixth power, 200n a seventh power
- clueles
- · Replies 6 ·
Graduate Is there a preferred orientation for the x and y axes in physics?
- eckiller
- · Replies 2 ·
Undergrad What are Cross Products and How Do They Relate to Tensors?
- misogynisticfeminist
- · Replies 6 ·
Undergrad Solving for Integers a and b in a Divisibility Equation
- clueles
- · Replies 3 ·
Undergrad Remainder of 100! divided by 103 and divisibility of factored integers
- clueles
- · Replies 4 ·
High School Pi doesnt have reapting random digits
- fizzzzzzzzzzzy
- · Replies 66 ·
Graduate Does 0 Belong to the Center of a Lie Algebra?
- Dogtanian
- · Replies 2 ·
High School Is the Square Root of 2 Irrational?
- mathwonk
- · Replies 11 ·
Graduate Loop invariant for LCM algorithm with alternating increments
- flying2000
- · Replies 2 ·
Undergrad The GIMPS project has found a new Mersenne prime number: M42.
- T.Rex
- · Replies 4 ·
Undergrad Does Euler's formula e^(πi) + 1 = 0 mean e^π equals a real number?
- strid
- · Replies 3 ·
Graduate Hairy billiard balls and eigenvectors
- mathwonk
- · Replies 4 ·
Graduate How to Clarify Sylow Subgroup Intersections in a Group of Order 48?
- Ad Infinitum NAU
- · Replies 7 ·
Graduate Determine all the ideals of the ring Z
- b0mb0nika
- · Replies 5 ·
Graduate Summation of S(N): Infinite/Finite?
- moving finger
- · Replies 7 ·
Graduate Proving Continuity of F:XxI->I with Continuous Functions
- Euclid
- · Replies 4 ·
Graduate Show 'a' is Irreducible: If R a Max Ideal in R
- mansi
- · Replies 2 ·
Graduate Generating Set for the Symmetric Group - Question
- MattL
- · Replies 8 ·
Graduate Absurdity of Cantor's Diagonal Slash
- moving finger
- · Replies 44 ·
Graduate Finding the Degree of \sqrt{3} + \sqrt[3]{4} Over Q: A Polynomial Search
- T-O7
- · Replies 6 ·
Graduate Proving Isomorphism between Vector Space and Polynomial Space
- eckiller
- · Replies 2 ·
Undergrad Understanding Coordinate Vectors for Polynomials in P3
- EvLer
- · Replies 2 ·
Graduate Do unique q and r exist in Euclidean domains?
- mansi
- · Replies 2 ·
Undergrad Is There a Proven Method for Finding Prime Numbers?
- Sariaht
- · Replies 10 ·
Graduate Diagonalizing a 3x3 second derivative matrix
- SpaceTiger
- · Replies 7 ·
Undergrad How Does Euler's Formula e^(2*pi*i) Evaluate to 1?
- xenogizmo
- · Replies 7 ·
Graduate Showing Q(√2, √3, √5) is a simple extension
- hedlund
- · Replies 7 ·
Undergrad How Does Fermat's Little Theorem Apply to Calculating 3^302 (mod 5)?
- 1+1=1
- · Replies 3 ·
Undergrad Systems of equations - consistency
- Benny
- · Replies 5 ·
Undergrad How do I show A is invertible when A² + 3A + I = 0?
- EvLer
- · Replies 11 ·
Graduate How Can We Determine the Number of Abelian Groups of Order p^n?
- DarkEternal
- · Replies 2 ·
Graduate A Question on Integrating Expansions of Infinities
- eljose
- · Replies 2 ·
Graduate Difference between Hamilton's quaternion postulate and commutative hypercomplex algebra
- Raparicio
- · Replies 2 ·
High School Some simple algebra that's bugging me
- airkapp
- · Replies 1 ·
Graduate Quaternions versus hypercomplex numbers with k²=+1
- Owen Holden
- · Replies 3 ·