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 Why do groups capture the essence of symmetry?
- kexue
- · Replies 6 ·
Graduate (Non-)Cartesian Categories and Diagonal Arguments
- S.Daedalus
- · Replies 2 ·
Undergrad Write a vector 's' in x y co-ordinate system
- jermie
- · Replies 6 ·
Undergrad Odd Primes Congruent to 1 or 3 mod 4: Proof
- Lenardo
- · Replies 6 ·
High School Properties of the Absolute Value
- roam
- · Replies 5 ·
Undergrad Studying Linear Algebra: Rn vs. Rm
- zenith92
- · Replies 2 ·
Graduate Compute determinant of a skew-symmetric matrix
- Gianni
- · Replies 3 ·
Graduate Representations of a noncompact group
- muppet
- · Replies 4 ·
Undergrad Physical representation of irrational numbers
- PhysDrew
- · Replies 25 ·
Graduate Simple Proof of Fermat's Last Theorem and Beal's Conjecture
- MrAwojobi
- · Replies 5 ·
Graduate Universal morphism to forgetful functor Ring->Ab
- grief
- · Replies 4 ·
Graduate Can a matrix of linear forms always be written as the sum of rank one matrices?
- Newtime
- · Replies 1 ·
Graduate Is V* ≠ {0} in Normed Spaces Easily Demonstrable?
- Fredrik
- · Replies 5 ·
Graduate Relation between prime square roots and Riemann zeros
- JeremyEbert
- · Replies 1 ·
Graduate Can Rank Two Tensors Be Formed Using Dot Products?
- xGAME-OVERx
- · Replies 4 ·
Graduate Does d'(p'_n - 1) = n hold only for n = 0,1,2,3,4,6?
- Raphie
- · Replies 11 ·
Graduate Why modulo m1 and modulo m2 implies modulo [m1, m2]
- crypto_rsa
- · Replies 2 ·
Undergrad Proving the Solution a=4 and n=2 for a^(1/n) = √a; a>0, n>1
- TylerH
- · Replies 7 ·
Graduate Can AA' = (wDD'w)(wDD'w) be written as a Kronecker product?
- Shurid
- · Replies 2 ·
Graduate When is m^m - n divisible by 3?
- al-mahed
- · Replies 18 ·
Undergrad Why is one root rejected when solving equations with multiple solutions?
- zorro
- · Replies 13 ·
Graduate Solving System of 2n Equations
- defunc
- · Replies 1 ·
Graduate Calculating Lie-Algebra Branching Rules
- lpetrich
- · Replies 6 ·
Undergrad How to Convert Grammar to Chomsky Normal Form?
- shukur2010
- · Replies 1 ·
Graduate Hamel basis and infinite-dimensional vector spaces
- Buri
- · Replies 8 ·
Graduate Finite Prime Ideals in Noetherian Ring - Atiyah-McDonald
- disregardthat
- · Replies 2 ·
Graduate Dual basis and differential forms
- Buri
- · Replies 5 ·
Undergrad Anyone have any suggestions on books on chebyshev polynomials?
- wdlang
- · Replies 4 ·
Graduate Where Can I Find a Good Reference Book on Group Theory in Physics?
- salparadise
- · Replies 1 ·
Graduate Solving a large 4-equation system for particle penetration probability
- nille40
- · Replies 5 ·
Graduate Can Kummer Extensions of p-adics Prove a Contradiction?
- yonat83
- · Replies 12 ·
Graduate Is the Series Sum of Cubes Necessarily Convergent?
- lukepeterpaul
- · Replies 6 ·
Graduate Elegant Solution for the Snooker ball Problem
- gautam89
- · Replies 2 ·
Graduate Condition for a matrix to be Positive semi-definite
- NaturePaper
- · Replies 17 ·
Graduate Relatively Prime Quadratic Integers
- stoolie77
- · Replies 9 ·
Graduate Riemann Hypothesis and Quantum Mechanics
- marcus
- · Replies 1 ·
High School True Randomness - What Does it Mean?
- iamnew
- · Replies 2 ·
Graduate Understanding Additive Factor Group Q/Z
- DanielThrice
- · Replies 4 ·
Undergrad Relationship between determinants and basis formation
- neden
- · Replies 2 ·
Graduate Finite Dimensional Inner-Product Space Equals its Dual?
- HyperbolicMan
- · Replies 1 ·
Undergrad What's the difference between complex numbers and vectors?
- djosey
- · Replies 9 ·
Graduate Proof of Basis Rep Theorem: Let n=a_0k^s+...+a_tk^t
- Miike012
- · Replies 6 ·
Undergrad Can a Quintic Polynomial be Factored Using a Nonlinear System?
- JungleJesus
- · Replies 12 ·
Undergrad Calculating the position of the 'other' focus point of an orbit
- Chetic
- · Replies 1 ·
Graduate How can the Langford-Skolem problem be solved?
- ramsey2879
- · Replies 1 ·
Undergrad Could this be a demonstrtion of following lucky strikes?
- antonio glez
- · Replies 5 ·
Graduate How Do You Apply the Alt Operator to a Differential 2-Form in R^4?
- arthurhenry
- · Replies 4 ·
Undergrad Determinant of a symmetric matrix
- krindik
- · Replies 3 ·
Graduate How Do You Derive the Least Squares Solution in Linear Regression?
- tennishaha
- · Replies 2 ·
Undergrad I'm curious about a number series
- BenchTop
- · Replies 1 ·
Graduate Semilinear Transformation, Kernel
- LHeiner
- · Replies 3 ·
Graduate Rotations in spherical coordinates
- mahnamahna
- · Replies 8 ·
Graduate Theorem about p-groups, similar to 3rd Sylow Theorem
- glacier302
- · Replies 1 ·
Undergrad Fermat's Last Theorem - Exponent Three
- Brimley
- · Replies 6 ·
Graduate Why is T* the definition of an adjoint operator in functional analysis?
- jy02927731
- · Replies 6 ·
Graduate Proving Group Equality for Normal Subgroups
- DanielThrice
- · Replies 3 ·
Graduate Proving Frobenius Norm of Matrix A
- cateater2000
- · Replies 5 ·
Graduate Is y'' = y solvable by using a homomorphism and understanding its kernel?
- DanielThrice
- · Replies 10 ·
Graduate Find all solutions to 3^a - 1 = 2b^2 - B.M.O. problem
- al-mahed
- · Replies 4 ·
Undergrad Testing Change of Basis in Linear Operator
- psholtz
- · Replies 1 ·
Graduate Coordinate System Transformations
- phil0stine
- · Replies 2 ·
Undergrad What am I doing wrong with finding the equation of this plane?
- mccoy1
- · Replies 26 ·
Graduate Cholesky decomp vs A = L'DL decomp.
- WCMU101
- · Replies 2 ·
Undergrad Finding determinant with upper triangular matrix
- theRukus
- · Replies 6 ·
Graduate Matrix model for three oil refineries meeting demand
- msr_msr
- · Replies 1 ·
High School Proving the distributive law x+(y.z) = (x+y).(x+z)
- jackson6612
- · Replies 10 ·
Undergrad Dimension of 7x7 Matrices w/ Zero Trace: 48
- TMac92
- · Replies 2 ·
Undergrad Is there more than one possibility for eigenvectors of a single eigenvalue
- mkerikss
- · Replies 2 ·
Graduate Null Space and Eigenvalues/Eigenvectors
- psholtz
- · Replies 4 ·
Undergrad The VERY last part of finding an eigenvector
- claret_n_blue
- · Replies 2 ·
Graduate How can I accurately continue the zeta function to the entire complex plane?
- kexue
- · Replies 8 ·
Graduate How can you show the trivial zeros of ζ(s) are at negative even integers?
- steven187
- · Replies 16 ·
Graduate Existance of solutions to set of quadratic equations
- Leo321
- · Replies 1 ·
Graduate Perfect numbers, harmonic sums, and floor of square root divisibility
- firefly767
- · Replies 6 ·
Graduate Questions on polynomial bases, line equations, and invertible transformations
- mrxtothaz
- · Replies 1 ·
Graduate Extracting yaw, pitch, roll from transformation matrix
- top40
- · Replies 5 ·
Graduate Proving a solution exist? (mod p)
- firefly767
- · Replies 4 ·
Graduate Measuring how similar to a parallelogram
- shybishie
- · Replies 2 ·
Graduate How to visualize the dot product inequality a·b < c·b geometrically
- shybishie
- · Replies 3 ·
Graduate 2 dimensional plane of a 3 dimensional space
- Gear300
- · Replies 3 ·
Undergrad Divisibility rules using sum of digits
- ershi
- · Replies 2 ·
Graduate Metric that isn't translation-invariant?
- Anonymous217
- · Replies 2 ·
Undergrad Computeing the coordinate vector
- savageqm
- · Replies 1 ·
Undergrad Why Are 3x3 Systems with Arithmetically Increasing Constants Always Infinite?
- AlphaNoodle
- · Replies 2 ·
Undergrad Finding A Matrix, given eigenvalues, and eigenvectors
- Laura1321412
- · Replies 2 ·
High School Can vectors be negative or only their components?
- shredder666
- · Replies 14 ·
Graduate What does the notation S_4(2) mean?
- krishna mohan
- · Replies 2 ·
Graduate Similarity Transformation of Matrices: Decide w/o Eigenvectors
- ercan
- · Replies 2 ·
Undergrad What is the composition of T and T in terms of linear transformations?
- BenZino11
- · Replies 6 ·
Graduate Derivatives of functions with matrices
- Leo321
- · Replies 8 ·
Undergrad Cross product order of operations
- John777
- · Replies 2 ·
Undergrad How Do You Find the Modular Multiplicative Inverse?
- scouter
- · Replies 7 ·
Graduate How Can You Determine Roots of a Quadratic in Any Field?
- mathmajor2013
- · Replies 1 ·
Undergrad Can someone tell me what this is called?
- GopherWT
- · Replies 5 ·
Graduate Can elements of finite order generate cyclic subgroups?
- epr2008
- · Replies 1 ·
Undergrad Finding matrices with very specific properties
- RossH
- · Replies 1 ·
Graduate What is an Image in Abstract Algebra?
- bwinter
- · Replies 5 ·
Undergrad Proving gcd(a,b) = gcd(a-b,2b-a)
- Null_Pointer
- · Replies 7 ·
Graduate Can X^4+nY^4 Always Produce a Prime Number?
- robert Ihnot
- · Replies 2 ·
Graduate Using the First Isomorphism Theorem
- CurtBuck
- · Replies 4 ·