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.
Threads
Undergrad Finding a basis of a subspace and its orthogonal complement in R4
- Striker2
- · Replies 2 ·
Undergrad The worst case for trial division factorisation of n?
- Phillips101
- · Replies 9 ·
Graduate Eigenvalue of 3D rotation matrix
- tickle_monste
- · Replies 2 ·
Graduate How Can You Prove This Number Theory Function?
- icystrike
- · Replies 3 ·
Graduate What is the simplified inverse formula for A + B?
- Tedjn
- · Replies 2 ·
Graduate Why is (1,1,2) in neither U nor its orthogonal complement in R3?
- sjeddie
- · Replies 2 ·
Undergrad Definition of Orthogonal Matrix: Case 1 or 2?
- sjeddie
- · Replies 3 ·
Graduate Decrypting RSA: Using d_K, d_p, d_q, M_p, M_q and x_p,x_q to Prove y^d=x mod n
- hope2009
- · Replies 1 ·
Graduate Can a matrix A be decomposed if it doesn't have n distinct eigenvalues?
- JanClaesen
- · Replies 1 ·
Graduate Multiple of prime p + multiple of (integer<p) = 1 proof?
- Jolb
- · Replies 2 ·
Graduate Theoretical linear algebra final in 14 hours
- yaganon
- · Replies 2 ·
Graduate Proving the Equivalence of Solving Equations and Finding Functions
- tickle_monste
- · Replies 4 ·
Undergrad Prime number dividing fractions.
- Jolb
- · Replies 2 ·
Graduate Dimension of a subspace of polynomials with certain coefficients
- Zorba
- · Replies 7 ·
Graduate Consequences of Godel's Theorems
- Galteeth
- · Replies 14 ·
Undergrad Rank of sample covariance matrix
- fmilano
- · Replies 2 ·
Undergrad Kernel, Range, Basis (linear algebra)
- Codexmac
- · Replies 6 ·
Graduate What is A2 when N(A) = C(A) and the columns of A are in the nullspace of A?
- shonick
- · Replies 1 ·
Undergrad Practice problem with invertible matrices
- myusernameis
- · Replies 1 ·
Graduate Linear Algebra Theorems for Graduate Level Course
- CoachZ
- · Replies 1 ·
Graduate A Proof of Fermat's Little Theorem
- 2^Oscar
- · Replies 7 ·
Undergrad Fitting a quadric function to a set of points
- daviddoria
- · Replies 7 ·
Graduate The Forward Direction of "V: a + iTa=b+iTb, iff a=b"
- CoachZ
- · Replies 2 ·
Graduate Computing Modular Cube Roots Modulo a Prime
- Hurkyl
- · Replies 14 ·
Undergrad Does Finding an Eigenvalue Guarantee an Eigenvector?
- sjeddie
- · Replies 5 ·
Undergrad Why isn't the set of positive vectors a vector space?
- sarah22
- · Replies 6 ·
Graduate Can Direct Sum Isomorphism Imply Module Equality in PID?
- bruno321
- · Replies 2 ·
Undergrad Counting Lattice Points in a Circle: A Math Contest Question
- yik-boh
- · Replies 7 ·
Graduate Adjoint of a Differential Operator
- CoachZ
- · Replies 4 ·
Graduate Maximise this quadaratic form, subject to these constraints.
- Phillips101
- · Replies 2 ·
Graduate When are polynomials in Z[x] relatively prime in Q[x]?
- esisk
- · Replies 3 ·
Graduate What Are the Ring Homomorphisms from Z[X] to Z[X]?
- esisk
- · Replies 4 ·
Graduate Raising a bunch of matrices to a power
- sjeddie
- · Replies 2 ·
Graduate Proving Perfect Number Equivalency with Mod 10
- nomather1471
- · Replies 5 ·
Undergrad How to express as a quotient of base n integers
- Meager
- · Replies 1 ·
Graduate Proving a Finite Group is Not Simple
- tom.young84
- · Replies 1 ·
Undergrad How do I prove a group is cyclic without Sylow's theorems?
- friedchicken
- · Replies 1 ·
Undergrad How to Convert Least Squares Problems into Independent Equations
- MRLX69
- · Replies 1 ·
Undergrad Arbitrary cycle of digits in rational number?
- dylanbyte
- · Replies 3 ·
Graduate What Are Elliptic Curves and Their Connection to Fermat's Last Theorem?
- Char. Limit
- · Replies 11 ·
Undergrad Proving Triangular Matrix Inverse is Also Triangular
- crd
- · Replies 1 ·
Graduate Is convolution a linear operator?
- mnb96
- · Replies 7 ·
Undergrad Modulo in solving numbers raised to high exponents
- yik-boh
- · Replies 2 ·
Undergrad Least Squares Approx. for Life Expectancy
- JoeSabs
- · Replies 1 ·
Graduate What Does Subtracting the Identity from a Transformation Mean in Nomenclature?
- pamparana
- · Replies 1 ·
Graduate Prove the following is irrational
- Pinkk
- · Replies 7 ·
Graduate What Is the Euclidean Analog of the Poincaré Group?
- Rasalhague
- · Replies 2 ·
Graduate Proving Normal Subgroup of S4 in Alternative Ways
- msd213
- · Replies 3 ·
Undergrad Where will engineers use vector spaces ?
- thrillhouse86
- · Replies 4 ·
Undergrad What is the proof that there is no greatest natural number?
- matheinste
- · Replies 14 ·
Graduate Simplifying A^{-1} · diag(A · X · A^{-1}) · A
- tom08
- · Replies 2 ·
Graduate How Many nth Roots of Unity Exist for k-Sized Matrices?
- okkvlt
- · Replies 1 ·
Graduate For which powers of a 10-cycle is the result also a 10-cycle
- Redhead711
- · Replies 3 ·
Undergrad Cross product of two 3x3 matrices
- dellatorre
- · Replies 5 ·
Graduate Vector Space Basis: Standard or Odd?
- Newtime
- · Replies 4 ·
Undergrad How to find eigenvectors of a matrix
- iamsmooth
- · Replies 2 ·
Graduate Is α a Primitive Element Modulo p Given α^q ≡ -1 mod p?
- hope2009
- · Replies 4 ·
Graduate Expressing Vector w/o Basis: Dirac Bra-Ket Notation
- daudaudaudau
- · Replies 2 ·
Undergrad Eigenvalue and eigenvectors of COMPLEX matrix
- hoffman1789
- · Replies 1 ·
Graduate Proving a linear transformation is an isomorphism
- dmatador
- · Replies 2 ·
Graduate How Do Number Theory and Group Theory Interconnect?
- dodo
- · Replies 6 ·
Undergrad Eigen values and cubic roots question
- iamsmooth
- · Replies 1 ·
Graduate Finding groups by semidirect products
- Jösus
- · Replies 3 ·
Graduate Compute transformation matrix in nth dimension
- bohdy
- · Replies 8 ·
Graduate Are Z21 and C2*C6 Isomorphic?
- razorg425
- · Replies 5 ·
Undergrad Generating a Permutation Matrix P for All Permutations of A
- xnull
- · Replies 4 ·
Undergrad How to Simplify This Equation with x=z+1?
- ComFlu945
- · Replies 1 ·
Undergrad Significance of a singular matrix
- transient_itch
- · Replies 9 ·
Graduate The Chinese Remainder Theorem for moduli that aren't relatively prime
- audiowize
- · Replies 2 ·
Graduate Understanding Span: Multiple Elements in <x>
- kjartan
- · Replies 1 ·
Graduate Have questions about Fermat's little theorem? Learn more here!
- Dweirdo
- · Replies 2 ·
High School Why Do We Prefer the Decimal System in Mathematics?
- trini
- · Replies 18 ·
Graduate Unitary Operators Talk: 30min Presentation for 1st Year Grad
- esisk
- · Replies 3 ·
Graduate Normal and Simple Subgroups in Finite Group G: Proof of Equality for K and H
- Bleys
- · Replies 6 ·
Graduate Rotations in nth Dimensional Space
- Bob65536
- · Replies 1 ·
Graduate Homomorphisms into an Algebraically Closed Field
- Spartan Math
- · Replies 5 ·
Undergrad Diagonalization, which eigenvector is found?
- FredMadison
- · Replies 4 ·
Graduate Isomorphism without being told mapping
- Myriadi
- · Replies 3 ·
Undergrad Is Associativity Assumed in the Proof of \(x^n x^m = x^{n+m}\)?
- evagelos
- · Replies 15 ·
Graduate Can Principal Ideals in Infinite Monoids Have Non-Empty Intersections?
- mnb96
- · Replies 2 ·
Graduate What Are Shankar's Inner Product Axioms in Quantum Mechanics?
- Identity
- · Replies 2 ·
Undergrad Can Column Vectors be Multiplied?
- EngWiPy
- · Replies 4 ·
High School What Is the Name for the Product of Unique Prime Factors?
- Elam
- · Replies 1 ·
Graduate Strongly connected primitive matrix
- Doom of Doom
- · Replies 1 ·
Graduate What is the optimal point in the nullspace of A using Lagrange multipliers?
- hoffmann
- · Replies 6 ·
Undergrad Can 2^n-1 Be Proven to Always Be Prime for Real Integer n Greater Than 1?
- Char. Limit
- · Replies 5 ·
Graduate How Does Stirling's Approximation Simplify Poisson to Normal Approximation?
- Mathsboi
- · Replies 2 ·
Graduate Why is T*T - TT* self-adjoint for normal operators?
- boboYO
- · Replies 2 ·
Graduate Finding Natural Numbers n Satisfying a Congruence
- hadi amiri 4
- · Replies 5 ·
Undergrad Symbolic represenation of the unit vector and the vector
- Helicobacter
- · Replies 11 ·
Graduate Eigenvalues of positive definite (p.d) matrix
- roee
- · Replies 2 ·
Undergrad Can Bezout's Theorem Prove Coprime Relationship in Modular Arithmetic?
- twodice
- · Replies 2 ·
Undergrad Gaus -jordan elimination compared to cofactor method
- latkan
- · Replies 1 ·
Graduate Can Constant Vectors Solely Satisfy the Kernel Conditions of a Quadratic Form?
- topcomer
- · Replies 1 ·
Graduate Relationship between primitive roots of a prime
- thomas430
- · Replies 4 ·
Graduate Understanding Factor Groups of Infinite Groups: Examples and Solutions
- Newtime
- · Replies 3 ·
Undergrad Is it Possible to Create a Sequence That Visits 0, 1, and 5 Infinitely Often?
- adrivit
- · Replies 9 ·
Graduate Determinant of (A+B) in GA: where is the mistake?
- mnb96
- · Replies 1 ·
Undergrad How Many 2x2 Matrices Equal I?
- Tachyonie
- · Replies 4 ·
Graduate Are prime fractals, or have a fractal geometry ?
- zetafunction
- · Replies 4 ·