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 How can I tell if this is a vector space?
- Antineutron
- · Replies 36 ·
Graduate What Happens to Av^j When j Exceeds Rank r in SVD?
- stuck_on_math
- · Replies 4 ·
Graduate Is (123) equal to the identity element in S_3?
- rsa58
- · Replies 11 ·
Undergrad Finding patterns in P^n and S^n for 2×2 matrices
- jballer23
- · Replies 17 ·
Graduate Semi-Simple Lie Algebra Representations
- lion8172
- · Replies 5 ·
Graduate Solve Group Theory Problem: Proving HuX is G
- JasonRox
- · Replies 2 ·
Graduate Order formula for GL(n, Z/p) and Sylow p-subgroups
- e12514
- · Replies 7 ·
Graduate Why doesn't 3 generate the group {1,...,11} under multiplication mod 12?
- SiddharthM
- · Replies 12 ·
Graduate Commutative rings with identity
- Marinela
- · Replies 1 ·
Graduate Every finite subgroup of isometries of n-dimensional space
- Battousii
- · Replies 4 ·
Graduate Group of symmetries on a regular polygon
- SiddharthM
- · Replies 4 ·
Graduate Understanding Group Action for Graeme
- FunkyDwarf
- · Replies 15 ·
Graduate If A is nilpotent square matrix then I+A is invertibl
- SiddharthM
- · Replies 11 ·
Undergrad Basic Solutions and Linear Combinations
- lapo3399
- · Replies 1 ·
Undergrad Does the Set S Span P3? Solving for Linear Span in Vectors
- eyehategod
- · Replies 14 ·
Undergrad Proving Linear System Ax=b Consistent iff Rank A = m
- eyehategod
- · Replies 6 ·
Graduate Why Does the Field Choice Affect Maschke's Theorem Application to Group C2?
- catcherintherye
- · Replies 2 ·
What Is the Best Website to Learn About Induction and Onboarding?
- helpm3pl3ase
- · Replies 1 ·
Undergrad Can ax + by + cz = d have an integer solution?
- ACardAttack
- · Replies 5 ·
High School What is the equation for combining two vectors using the parallelogram rule?
- mireazma
- · Replies 6 ·
Undergrad Questions about the concept of subspace of linear transformation
- bigheadsam
- · Replies 8 ·
Undergrad Integer solutions to ax + by = (a-1)(b-1) with gcd(a,b)=1
- whodsow
- · Replies 2 ·
Graduate Multiplicativity/Additivity and homomorphisms
- Simfish
- · Replies 5 ·
Graduate Could string theory offer insights into the Riemann hypothesis?
- pivoxa15
- · Replies 8 ·
Undergrad How Do Matrix Transpose and Adjoint Relate to the Original Matrix?
- nolanp2
- · Replies 1 ·
Graduate Proving Subspace in R^3 with Fixed Matrix A: W={x \in R^{3} :Ax=[^{1}_{2}]}
- eyehategod
- · Replies 2 ·
High School Evaluating the Dot Product of 3D Vectors
- Joza
- · Replies 3 ·
Graduate Eigenvector existence in complex space
- jostpuur
- · Replies 5 ·
Undergrad Why does Euler's Formula work for finding the remainder of 2^999 modulo 100?
- san_1420
- · Replies 10 ·
Graduate Have you seen this new recursive series identity?
- ramsey2879
- · Replies 14 ·
Undergrad Finding solutions to a system of coupled linear differential equations
- gaganaut
- · Replies 3 ·
Undergrad Couple of Linear Algebra Questions
- FunkyDwarf
- · Replies 7 ·
Undergrad Find the highest power of 2 dividing n
- whodsow
- · Replies 4 ·
Graduate How to decompose Lie group representations like E_8 adjoint
- AlphaNumeric2
- · Replies 2 ·
Graduate Algebraic integers of a finite extension of Q has an integral basis
- learningphysics
- · Replies 4 ·
Graduate Why is R uniquely determined by W in this proof?
- marcin w
- · Replies 5 ·
Undergrad Give the ranks of both the matrix of coefficients and the augmented
- salman213
- · Replies 1 ·
Graduate Finding automorphisms of order 2 in GL₃(F₂)
- tumpabhat
- · Replies 2 ·
Undergrad What Jobs Utilize Linear Algebra and Matrices?
- blue2004STi
- · Replies 2 ·
Undergrad Construct a 2x2 matrix that is not the zero vector
- Karma
- · Replies 4 ·
Undergrad Computing matrix exponential e^Jt for Jordan form with repeated eigenvalue
- panoskarti
- · Replies 1 ·
Graduate A question concerning matrix norms
- kenleung5e28
- · Replies 3 ·
Graduate Which Prime Numbers Satisfy These Divisibility Conditions?
- terafull
- · Replies 4 ·
Undergrad What if domain elements don't map to the codomain?
- Simfish
- · Replies 6 ·
Undergrad Coin toss with rule +1 if it is a head and -1 otherwise
- alfredbobo
- · Replies 21 ·
Graduate Are GL(n = 2, Z_p) and Corresponding Dihedral Groups Isomorphic?
- teleport
- · Replies 13 ·
Graduate Proving AB is Idempotent: A=A^2, AB=BA
- eyehategod
- · Replies 9 ·
Undergrad Vector subspace notation question
- canb179
- · Replies 1 ·
Graduate How to Prove that (n-1)!= 0 (mod n) for Composite n?
- dessy
- · Replies 1 ·
Undergrad Is 1/5*n^5 + 1/3*n^3 + 7/15*n Always an Integer for All n?
- dessy
- · Replies 2 ·
Graduate Solving for the 0's of a polynomial in a ring
- Werg22
- · Replies 3 ·
Graduate Isomorphism and direct product of groups
- teleport
- · Replies 15 ·
Undergrad Linear Operator T Property: U{f(x)*g(x)}=U{f(x)}*U{g(x)}
- Swapnil
- · Replies 3 ·
Graduate Dimension of symmetric and skew symmetric bilinear forms
- quasar_4
- · Replies 2 ·
Graduate How to Find an Explicit Formula for T-Inverse?
- quasar_4
- · Replies 14 ·
Undergrad How can I solve [x]^13 + 7*[x] + 5 = 0 in ring 91 efficiently?
- Werg22
- · Replies 6 ·
Undergrad Solution to Simple Matrix Equation
- lapo3399
- · Replies 1 ·
Graduate Matrix representation of complex space
- quasar_4
- · Replies 2 ·
High School Say I have 5 computers. How many permutations are available?
- Poweranimals
- · Replies 16 ·
Graduate What is the Linear Combination of Recursive Series?
- ramsey2879
- · Replies 11 ·
Undergrad Diffrence between a transform a map
- dionysian
- · Replies 1 ·
Graduate Is U(t)=exp(-iH/th) a Lie Group in Quantum Mechanics?
- Ratzinger
- · Replies 4 ·
Undergrad What is the Zero Density Cube?
- chaotixmonjuish
- · Replies 3 ·
Graduate Lie Algebra: Why is 2D Nilpotent Lie Algebra Abelian?
- lion8172
- · Replies 1 ·
Graduate Nilpotent Lie algebras not from strictly upper triangular matrices
- lion8172
- · Replies 2 ·
Graduate Can Arithmetic Progressions Form Infinite Relatively Prime Subsequences?
- robin_vanp
- · Replies 5 ·
Undergrad Strange simultaneous eqution problem?
- smileandbehappy
- · Replies 4 ·
Graduate Non-standard addition in R^2: does a zero vector exist?
- skydiver_spike
- · Replies 2 ·
Undergrad Determine whether the set is a vector space
- eyehategod
- · Replies 5 ·
Graduate Is (a_{k+1}*a_{k+2}) mod a_{k} = 0 for integer k in a recurrent sequence?
- terafull
- · Replies 3 ·
Undergrad Just quickly, what is a generator in a group?
- theperthvan
- · Replies 2 ·
Graduate What does Hom(V,ℝ) notation mean for dual spaces?
- quasar987
- · Replies 4 ·
Graduate Book and website recommendations for advanced linear algebra
- Noobieschool
- · Replies 9 ·
Graduate What is a Hamel Basis and How is it Used in Vector Spaces?
- Sourabh N
- · Replies 19 ·
Graduate Solving a 5×5 stiffness matrix with partitioned equations
- tomcenjerrym
- · Replies 2 ·
Graduate Congruence of all integers n, 4^n and 1 +3n mod(9)?
- mgiddy911
- · Replies 3 ·
Graduate Primigenial ring ideals question
- learningphysics
- · Replies 7 ·
High School Can These Matrices Be Multiplied?
- tomcenjerrym
- · Replies 1 ·
Undergrad What is the relationship between the rank of a matrix and its transpose?
- oldmathguy
- · Replies 3 ·
Graduate Projections on Banach and Hilbert spaces
- jostpuur
- · Replies 5 ·
Graduate Why is <u,v>=u2v2+u3v3 not an inner product on R³?
- jacko_20
- · Replies 2 ·
Graduate Proving Isomorphism without Explicit Functions in Abstract Algebra
- quasar_4
- · Replies 4 ·
Undergrad Proving that cube root 7 is irrational
- TalonStriker
- · Replies 4 ·
High School A vector is a vector is a vector
- sumesh.pt
- · Replies 11 ·
Graduate Determining Finiteness of (ZxZ)/H for a,b,c,d
- e12514
- · Replies 4 ·
Graduate Numbers with a prime factor > sqrt
- dodo
- · Replies 1 ·
Undergrad Matrices Paper: Problem Modeling & C++ Solutions
- chaoseverlasting
- · Replies 10 ·
Graduate Solve Difficult Problem on R^4 with Two Conditions
- jonas.hall
- · Replies 15 ·
Graduate Quaternions and the ather hypercomplexe numbers
- matteo16
- · Replies 1 ·
Graduate Adjoint of an operator definition
- jostpuur
- · Replies 8 ·
Undergrad Creating an Optimizer - What is the correct Math Model or formula to use ?
- roddy1212
- · Replies 1 ·
High School What is the Definition of a Vector in Mathematics?
- matteo16
- · Replies 10 ·
Graduate Ensuring injectivity of an operator
- radou
- · Replies 10 ·
Graduate Complexification of a vector space
- quasar_4
- · Replies 14 ·
Undergrad Does dimension remain unchanged under a linear map?
- FunkyDwarf
- · Replies 4 ·
Graduate Are There Any Lower Bounds for Skewes' Number?
- CRGreathouse
- · Replies 1 ·
Graduate Proving Even Divisibility of p^2-1 for Primes p≥5 in Number Theory
- camilus
- · Replies 5 ·
Graduate Proving Matrix Equality with Inverse Properties
- ConeOfIce
- · Replies 4 ·
Graduate Minimal Prime Tuplets and Nontrivial Bounds for A008407 Sequence
- CRGreathouse
- · Replies 3 ·
High School Understanding Algebraic Expressions: Simplifying Subtraction as Addition
- Holocene
- · Replies 8 ·