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 Which Positive Integers Can Be Written as x4 + 4y4 to Form Prime Numbers?
- sachinism
- · Replies 7 ·
Undergrad Testing the Usefulness of Prime Number Test
- ramsey2879
- · Replies 5 ·
Graduate Prove PGL(V) Acts 2-Transitively on P(V) Projective Space
- gankutsuou7
- · Replies 1 ·
Graduate Here f:Z36 to Z4 x Z9 is group isomorphism given by f(n+36Z)= (n+4Z,
- goody
- · Replies 1 ·
Graduate Shilov's Linear Algebra determinant notation.
- peri
- · Replies 3 ·
Graduate Why do all eigenvalues on the unit circle not imply an orthogonal matrix?
- ali987
- · Replies 10 ·
Graduate Is (2^(p-1)) * ((2^p) - 1) a perfect number if (2^p) -1 is prime?
- kingtaf
- · Replies 6 ·
Graduate Proving Sum of Two Primes is Never Twice a Prime
- sachinism
- · Replies 8 ·
Graduate Exponential of nonconstant matrix
- ranoo
- · Replies 5 ·
Undergrad In how many ways can I write n as a sum of integers?
- nonequilibrium
- · Replies 14 ·
Graduate When Should Direct Product and Direct Sum Be Used in Group Theory?
- captain
- · Replies 6 ·
Undergrad Inverse matrices with scalar multiplication.
- brydustin
- · Replies 4 ·
Graduate Unique representation in graded modules
- disregardthat
- · Replies 13 ·
Graduate What is the meaning of \textbf{nn} in matrix multiplication?
- rsq_a
- · Replies 5 ·
Graduate Convolution with a normalised function
- TeraHammer
- · Replies 3 ·
Undergrad Can you Prove that {2}_{}an+1 = _{}an _{}an+2 =(-1)n for the Fibonacci series?
- Suk-Sci
- · Replies 4 ·
Graduate Is there a formula for calculating the derivative of the largest eigenvalue?
- Leo321
- · Replies 4 ·
Graduate Do position-space kinetic energy matrix elements depend on representation?
- Niles
- · Replies 12 ·
Graduate Tetraktysal Kissing Triangle construction for sphere packing bounds to D=10
- Raphie
- · Replies 6 ·
Graduate Why doesn't the projection formula A(A^T A)^-1 A^T reduce to I?
- fredsmithsfc
- · Replies 4 ·
Graduate General form of an inner product on C^n proof
- andresordonez
- · Replies 3 ·
I don't know how to make a thesis, how to present it, and my
- choe
- · Replies 2 ·
Graduate Prove the product rule for double inner products of second-order tensors
- josh_machine
- · Replies 3 ·
Graduate Decomposing a vector parallel and perpendicular to a fixed vector
- AxiomOfChoice
- · Replies 4 ·
Graduate How to Find a Basis for W in P4[x] Using the Gram-Schmidt Process?
- Bachelier
- · Replies 4 ·
Graduate Group action on cosets of subgroups in non-abelian groups
- nbruneel
- · Replies 2 ·
Undergrad DIVISIBILITY CONGRUENCE question
- mathmajor2013
- · Replies 1 ·
Graduate Category Theory Used in Physics.
- Sportin' Life
- · Replies 10 ·
Graduate Prime factors of (2^(mn)-1)/((2^m-1)(2^n-1))
- helgamauer
- · Replies 1 ·
Undergrad What's the difference between polynomials and polynomial functions?
- wxrebecca
- · Replies 7 ·
Graduate Linear least square method for singular matrices
- alyflex
- · Replies 9 ·
Undergrad Prime factorization of A + B when A and B are coprime
- epkid08
- · Replies 1 ·
Graduate Proving 2+2=4 Using Field Axioms
- rafasaur
- · Replies 5 ·
Graduate Relation between Primes: Proving (2m-1, 2mn-1/2m-1) = 1
- helgamauer
- · Replies 1 ·
Graduate Are the eigenvectors of A and A^T related?
- Leo321
- · Replies 1 ·
Graduate What Can be Said About the Kernel of a Tensor Product of Linear Maps?
- ihggin
- · Replies 1 ·
Undergrad Invertibility of a product of invertible matrices
- tobias_funke
- · Replies 4 ·
Graduate Are Units in R[x] Exactly the Same as Units in R When R is an Integral Domain?
- mathmajor2013
- · Replies 3 ·
Graduate Tensor product vector spaces over complex and real
- ihggin
- · Replies 4 ·
Graduate How to Prove a Congruence in Modulo pq with Distinct Primes?
- mathmajor2013
- · Replies 1 ·
Graduate System of 4 quadratic equations with 4 unknowns
- landau_rules
- · Replies 4 ·
Graduate Torsion-free modules over a Discrete Valuation Ring
- Hurkyl
- · Replies 1 ·
Graduate How to Derive the Inverse of the Sum of Two Operators?
- poonintoon
- · Replies 9 ·
High School No real number x such that x<|0| where
- SW VandeCarr
- · Replies 27 ·
Undergrad What is the dimension of a set in general context?
- Gear300
- · Replies 6 ·
Graduate If f ∘ h = h ∘ g with bijective functions, does f = g?
- netcaster
- · Replies 1 ·
Graduate Elegant proof of fermats last theorem 2. try
- robert80
- · Replies 23 ·
Graduate Is Every Rootless Polynomial Over a Finite Field Prime?
- wxrebecca
- · Replies 1 ·
Graduate Quaternions and metric of the 3-sphere
- mnb96
- · Replies 1 ·
Undergrad Rearrange Formulae to Find u, v, and a
- Indy
- · Replies 4 ·
Graduate Can the Fermat's Last Theorem be expanded to higher powers?
- robert80
- · Replies 6 ·
Graduate Formula for the Number of Units in a Ring Modulo a Prime Power
- mathmajor2013
- · Replies 2 ·
Graduate Distance between invertible elements of a normed algebra
- Fredrik
- · Replies 2 ·
Undergrad How to prove injection and surjection for a function with 2 variables?
- pmooney12
- · Replies 2 ·
Graduate Understanding SO(1,3) and Its Applications in Mathematics and Physics
- quantum123
- · Replies 1 ·
Undergrad Linear Algebra: basis and matrices
- Shadowz
- · Replies 1 ·
Undergrad Linear differential operator / linear transformation
- hholzer
- · Replies 1 ·
Graduate Unique Factorization: Proving for Polynomials in x
- stoolie77
- · Replies 7 ·
Graduate Elegant proof of Fermats Last theorem?
- robert80
- · Replies 1 ·
Graduate Group of rigid rotations of cube
- PhDorBust
- · Replies 1 ·
Graduate Can two consecutive odd primes sum to a product of three integers?
- Andromache
- · Replies 6 ·
Graduate Proving Simultaneous Diagonalizability of nxn Matrices A and B with AB = BA
- Bachelier
- · Replies 8 ·
Undergrad How Can a Number Be Written as a Sum of Squares or Primes?
- abiyo
- · Replies 2 ·
Graduate Did I make a mistake in finding the third generalized eigenvector for A?
- Gear300
- · Replies 5 ·
Graduate Isolating vector b from equation in form (axb)xa
- MannyZanny
- · Replies 5 ·
Graduate Why are the tensor products over Q and Z_n equal?
- quasar987
- · Replies 10 ·
High School Difference between a standard and metric?
- math6
- · Replies 5 ·
Graduate Show that all simple groups of order 60 are isomorphic to A5.
- glacier302
- · Replies 4 ·
Undergrad Mathematical notation for elementwise multiplication
- Mårten
- · Replies 12 ·
Undergrad What is a Regular Transition Matrix
- ha9981
- · Replies 5 ·
Undergrad How do I solve for the unknown matrix Q in this equation?
- tapashettisr
- · Replies 12 ·
Graduate Algebra of Physical Space vs. Spacetime Algebra
- closet mathemetician
- · Replies 5 ·
Graduate Proving G Abelian iff G/Z(G) is Cyclic
- DanielThrice
- · Replies 5 ·
Graduate Prove A and B are similar iff they have the same rank
- Bachelier
- · Replies 7 ·
Undergrad Why do factor differences follow patterns modulo 4?
- numbthenoob
- · Replies 6 ·
Undergrad Linear Transformations,Find basis of kernel and range
- nehap.2491
- · Replies 5 ·
Undergrad Solving a system of 6 linear equations in 6 variables
- buggykong
- · Replies 1 ·
Graduate Eigenvalues and eigenvectors of a matrix product
- Leo321
- · Replies 2 ·
Graduate Are Non-linear Functions Also Homomorphisms Between Modulo Groups?
- raynard
- · Replies 3 ·
Graduate When is a group the direct sum of its normal subgroups?
- nonequilibrium
- · Replies 7 ·
Graduate Definition of integral domain from Herstein
- mikepol
- · Replies 3 ·
Undergrad Relationship among LCM, GCD, and coprimes
- andresc889
- · Replies 2 ·
Graduate How to Use the First Isomorphism Theorem to Show Z/(4Z) is Isomorphic to Z4?
- DanielThrice
- · Replies 1 ·
Graduate Counterexample: linear operator on infinite dimensional space with no eigenvector
- Bachelier
- · Replies 1 ·
Graduate Abelian Group Order: Find Largest Possible # of Subgroups
- Dawson64
- · Replies 4 ·
Graduate Proving Isomorphism of Z4 / (2Z4) to Z2
- Dawson64
- · Replies 1 ·
Graduate Congruence Class Relationships in \mathbb{Q}[\sqrt{3}]
- Brimley
- · Replies 22 ·
Graduate A Tetrahedral Counterpart to Ramanujan-Nagell Trinagular Numbers?
- Raphie
- · Replies 4 ·
Undergrad Looking for a proof using matrices
- Bachelier
- · Replies 4 ·
Graduate What Are the Surrogate Number Congruences for Moduli Other Than Its Factors?
- numbthenoob
- · Replies 4 ·
Graduate Group Theory: Is A a Left Coset of G?
- micromass
- · Replies 9 ·
Graduate Integral of Log det(1-A(x).B(x)) wrt x
- guerom00
- · Replies 4 ·
Graduate What does it mean for a subgroup to be maximal, and how do I compute the product S7 × Z7?
- DanielThrice
- · Replies 2 ·
Undergrad What Are the Possible Forms of the Kernel in Linear Transformations from R3?
- nehap.2491
- · Replies 2 ·
Graduate Does the Matrix xyTA Have More Than One Non-Zero Eigenvalue?
- Leo321
- · Replies 3 ·
Graduate Homomorphism Construction Using Symmetry Groups
- Demon117
- · Replies 2 ·
Graduate 26 is unique between a square (5^2) and a cube (3^3)
- al-mahed
- · Replies 14 ·
Graduate Simple Abelian Groups: Can They Be Classified?
- Dawson64
- · Replies 1 ·
Graduate How to Determine the Order of an Element in a Factor Group?
- factor
- · Replies 2 ·
Graduate How can the ideal generated by ab-ba force a ring to commute?
- markiv
- · Replies 5 ·