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
High School What is the approximate number of primes between 1 and a given limit?
- jobsism
- · Replies 6 ·
Graduate Prove Prime Ideal Problem: I/J ⊆ P
- mathmajor2013
- · Replies 4 ·
Undergrad Introduction to Abstract Algebra
- NukeEng101
- · Replies 7 ·
Undergrad Inverse best fit slope expected vs calculated
- paqqj
- · Replies 18 ·
Undergrad Diagonalization of Specif Matrix
- ApproxIdent
- · Replies 1 ·
Undergrad N equals the cube of the sum of its digits
- myth_kill
- · Replies 2 ·
Graduate Equation of a Surface relative to a basis
- shonen
- · Replies 3 ·
Graduate What Determines Equality of Principal Ideals in an Integral Domain?
- mathmajor2013
- · Replies 1 ·
High School Why Is (-1)^2 Equal to 1?
- hunt_mat
- · Replies 19 ·
Graduate Finding x in Modular Equations with Large Exponents
- coolul007
- · Replies 4 ·
Graduate Proving Normality in G: An Elegant Approach?
- Deveno
- · Replies 6 ·
Undergrad I would like to argue about (-8)^(1/3) = -2
- Stephen Tashi
- · Replies 10 ·
Graduate First isomorphism theorem for rings
- rukawakaede
- · Replies 8 ·
Graduate Linear Least Squares Minimization
- swartzism
- · Replies 4 ·
Graduate Prove Summation of Mobius Inversion w/ Sigma Function
- math_grl
- · Replies 5 ·
Graduate What Is the \|f\|_{C^{1}} Norm?
- Smitty_687
- · Replies 2 ·
Graduate Relations bet. Groups, from Relations between Resp. Presentations.
- Bacle
- · Replies 1 ·
Graduate Solution to x^k=b mod m Using Prime Factors and Mod Congruence
- lifom
- · Replies 1 ·
Graduate Websites for learning abstract algebra
- Steff196
- · Replies 7 ·
Undergrad Are Vectors in the Column Space and Nullspace of Matrix A Linearly Independent?
- td21
- · Replies 6 ·
Graduate What is the Concise Proof for the Determinant Product Rule?
- etnad179
- · Replies 8 ·
Undergrad Does G\H Form a Subgroup of G?
- Zorba
- · Replies 3 ·
Graduate Why Does the Matrix Transformation Not Equal dxdydz?
- Iraser
- · Replies 2 ·
Graduate Some thought about direct sum and
- td21
- · Replies 2 ·
Graduate Algorithm to solve a maximization problem
- mathlete
- · Replies 5 ·
Music of the Primes: Maths Through Musical Patterns
- JeremyEbert
- · Replies 3 ·
Graduate Fastest algorithm for constructing irreducible polynomials over finite fields
- burritoloco
- · Replies 1 ·
Graduate Fastest algorithm for constructing irreducible polynomials over finite fields
- burritoloco
- · Replies 1 ·
Graduate Are Weight 12 Modular Forms the Only Ones Without Zeros on the Upper Half Plane?
- MathematicalPhysicist
- · Replies 4 ·
Undergrad Prove that if ab=ac, then b=c.
- kripkrip420
- · Replies 9 ·
Graduate Constructing Associated Sheaf of Abelian Groups
- disregardthat
- · Replies 2 ·
Undergrad Why does a matrix of all ones have rank 1, not 0?
- eg0
- · Replies 5 ·
Graduate Prime divisibility conjecture for Stirling-Eulerian row differences
- Raphie
- · Replies 1 ·
Undergrad Scalars and Vectors: The Difference
- magu1re
- · Replies 1 ·
Graduate How Can I Create a Pseudo-Pi Numerical Base System?
- SubZir0
- · Replies 2 ·
Graduate Is f = n^2 a completely multiplicative function?
- math_grl
- · Replies 4 ·
Graduate How are R^2 and R^4 isomorphic as VS's over Q?
- joeblow
- · Replies 2 ·
Graduate Can a Matrix A Equalize Vectors u and v in Different Reference Frames?
- taybasta
- · Replies 2 ·
Graduate How do we prove tangent lines to conics using homogeneous coordinates?
- erohanip
- · Replies 1 ·
Undergrad What does the superscripted notation in matrix notation mean?
- mcgruff
- · Replies 3 ·
Graduate Proving (Nb)^p = Nb^p for normal subgroup N and prime p
- juaninf
- · Replies 1 ·
Graduate Proving Inverses (Matrix Multiplications)
- jwb
- · Replies 3 ·
Undergrad Maximize multiple linear equations under a single constraint
- Darren1618
- · Replies 10 ·
Graduate Law of Ratios? derving a differential Fick Equation
- sadsol
- · Replies 2 ·
Graduate Does the music of the primes come from sine wave interactions?
- Canute
- · Replies 13 ·
Graduate How to find a basis for the space of even functions (with some constraints)
- mnb96
- · Replies 11 ·
Graduate Is (w − x) − (y − z) = (w − y) − (x − z) an identity for real numbers?
- Salamon
- · Replies 2 ·
Graduate Characteristic Polynomials and Nilpotent Operators
- glacier302
- · Replies 5 ·
Graduate Simplifying tan(arccos((x-1)/(x+1)))
- JeremyEbert
- · Replies 8 ·
Graduate Orthogonal Complement in Inner Product Space: W2^\bot\subseteqW1^\bot
- chuy52506
- · Replies 4 ·
Undergrad Order of 2x2 Matrix [[2 3][3 5]]
- morningloree
- · Replies 1 ·
Graduate How to show I_n + A is invertible
- HappyN
- · Replies 7 ·
Graduate What is the Automorphism Group really?
- Poopsilon
- · Replies 7 ·
Graduate Iterative methods for solving systems of linear differential equations
- ThorX89
- · Replies 5 ·
Undergrad Can all invertible matrices be diagonalized?
- vvgobre
- · Replies 5 ·
Graduate Is 1 a Congruent Number with Odd Integer Solutions to x^4 - y^4 = u^2?
- MathematicalPhysicist
- · Replies 3 ·
Graduate Setwise stabilizer of a finite set is a maximal subgroup of Sym(N)
- ihavenoidea
- · Replies 3 ·
Graduate How Is the Square of the Zeta Function Related to the Divisor Function?
- galoisjr
- · Replies 2 ·
Graduate How to Generate Theorems for an Abstract System like Sudoku?
- TylerH
- · Replies 1 ·
Undergrad Finding the Smallest n for F(n)=24: A Challenge in Integer Solutions
- pi_kid
- · Replies 2 ·
Undergrad Eigenvectors - why must det(A-λI)=0?
- RK1992
- · Replies 10 ·
Graduate How do mathematicians think about abstract algebra?
- Adam.
- · Replies 8 ·
Undergrad When to write subspace vectors as columns vs rows in matrix form?
- PragmaOnce
- · Replies 1 ·
Graduate Partition numbers and fractals in Ken Ono's 2011 discovery
- yuiop
- · Replies 12 ·
Undergrad Understanding Jacobian Matrices - Working Through Examples
- Shamshiel
- · Replies 4 ·
High School Easy definition of linear algebra
- PainterGuy
- · Replies 16 ·
Graduate Are Ideals of Mn(Z) Commutative?
- DukeSteve
- · Replies 1 ·
Graduate Can Non-Diagonalizable Matrices Have Square Roots?
- SometimesY
- · Replies 7 ·
Graduate Adjoint representations and Lie Algebras
- countable
- · Replies 1 ·
Undergrad What Are Sums of Integer Powers Called in Number Theory?
- fukon
- · Replies 8 ·
Graduate Prove Cyclic Factor Group of a Cyclic Group is Cyclic
- Fisicks
- · Replies 6 ·
Undergrad Row Reduction: Adding Rows in Matrix
- AerospaceEng
- · Replies 2 ·
Undergrad Possible Row Reduced Echelon Forms
- Fragment
- · Replies 1 ·
Undergrad Powers of integers and factorials
- sjohnsey
- · Replies 9 ·
Undergrad Why determinant must vanish for simultaneous equations
- lavster
- · Replies 1 ·
Graduate Question from the proof in euler's forumla
- lifom
- · Replies 5 ·
Graduate Where can I find a book on group theory in physics?
- hokhani
- · Replies 1 ·
Graduate Cardinality of a vector space over an infinite field
- yaa09d
- · Replies 4 ·
Graduate Conjugate transpose/real and imaginary parts
- zcd
- · Replies 5 ·
Undergrad Cartesian Coordinates in Linear Algebra and Globality
- Bacle
- · Replies 5 ·
Graduate Proof that irrational numbers do not exist
- epr2008
- · Replies 36 ·
Undergrad Inverse of a square matrix in C
- SUDHEER87
- · Replies 4 ·
Undergrad Cryptography - modulo arithmetic
- Rubik
- · Replies 2 ·
Graduate Why are all primes greater than 3 of the form 6k±1?
- chaoseverlasting
- · Replies 10 ·
Undergrad How to find the x,y elements of a 3D vector when origin, direction, z are known
- dsoltyka
- · Replies 3 ·
Graduate How Do You Compute Minimal and Characteristic Polynomials in F16 Over F2?
- sara15
- · Replies 2 ·
Graduate Non-Normal Subgroups in Simple Groups
- spamiam
- · Replies 4 ·
Graduate Show that one of these functionals is unbounded
- Fredrik
- · Replies 9 ·
Graduate Solving Ring Theory Question - Centralizer of Division Char(D) ≠ 2
- DukeSteve
- · Replies 2 ·
Graduate Is There an Upper Bound on Elementary Tensors in Tensor Products?
- klackity
- · Replies 3 ·
Graduate Proving radical of I is in radical of J, and radical of radical of I equals radical of I
- DukeSteve
- · Replies 6 ·
Graduate Understanding Geometric Meaning of Ax≤b
- EngWiPy
- · Replies 5 ·
Graduate Finding GCD of a binomial coefficient and a large integer
- smslca
- · Replies 1 ·
Undergrad What is the Dimension of a 3-D Rotation Matrix?
- oldmathguy
- · Replies 6 ·
Undergrad Inverse of a Matrix M as a Product of Elementary Row Operations. Uniqueness?
- Bacle
- · Replies 1 ·
Undergrad Figuring the Last Digit of x^x^x^x
- bob j
- · Replies 3 ·
Undergrad Complex matrices and three-dimensional matrices
- Char. Limit
- · Replies 8 ·
Graduate Is an Non-Zero Coefficient in a Polynomial a Zero Divisor in R[x]?
- chuy52506
- · Replies 3 ·
Undergrad I have no knowledge of number theory
- chhitiz
- · Replies 6 ·
Graduate Computing the inverse of C from A without inverting twice
- peterlam
- · Replies 3 ·