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 Solving x^2 + y^2 = 2z^2 using Pythagorean triple parametrization
- kingwinner
- · Replies 16 ·
Graduate Understanding Growth Order of Functions in Integral Equations
- zetafunction
- · Replies 1 ·
Undergrad How Do We Calculate the Determinant of a Complex Matrix?
- Ali Asadullah
- · Replies 3 ·
Graduate What is the Basis for an Extension Field Adjoined with an Element?
- Prometheos
- · Replies 2 ·
Graduate How many group homomorphisms are there from Z to Z/2Z?
- jakelyon
- · Replies 3 ·
Undergrad Cartesian scalar equation of plane
- yxj
- · Replies 8 ·
Graduate Elliptic Curve y^2 = x^3 +17; show N_p = p
- kingwinner
- · Replies 5 ·
Graduate How to prove that the dim of two subspaces added together equals dim
- gutnedawg
- · Replies 6 ·
Graduate Calculating Derivatives and Traces to Solving for det(I + tA) = tr(A)
- jakey
- · Replies 5 ·
Undergrad How Many Endomorphisms Exist for Z/2Z?
- jakelyon
- · Replies 5 ·
Graduate Is Z[x]/(2x) Isomorphic to Z/2Z?
- jakelyon
- · Replies 3 ·
Undergrad Find ||2w-v|| from <v,w>=-3, ||v||=2, ||w||=7
- DavidLiew
- · Replies 2 ·
Undergrad Origin of Vector Cross Product
- SpartanG345
- · Replies 8 ·
Undergrad Cross Product - Determinant form
- gsingh2011
- · Replies 4 ·
Graduate Adjusting rotation matrix when pivot point changes
- TravelGirl
- · Replies 2 ·
Graduate A problem in algebraic number theory
- eof
- · Replies 5 ·
Graduate Finding the inverse of an m*n matrix
- John O' Meara
- · Replies 2 ·
Graduate Solutions of a diophantine equation
- zetafunction
- · Replies 1 ·
Undergrad How to find the elements of a subgroup?
- golmschenk
- · Replies 2 ·
Graduate Is the Cubic Formula More Complex Than the Quadratic Formula?
- Char. Limit
- · Replies 2 ·
Undergrad Irrational numbers in infinite list of integers
- GunnaSix
- · Replies 8 ·
Graduate The Abelianization of a Group: Implications and Proofs
- Newtime
- · Replies 2 ·
Undergrad Reducing a 3×3 matrix to a scalar quantity
- frasool
- · Replies 2 ·
Graduate Proving the Isomorphism of [ ]B: L(V) to Mnxn(R) in Linear Transformations
- sweetiepi
- · Replies 2 ·
Undergrad A Special System of Linear Congruences
- e(ho0n3
- · Replies 4 ·
Undergrad The SOLUTION SET of a MATRIX is a point, line, plane or cube
- math_maj0r
- · Replies 2 ·
Graduate Proving (AB)^{-1}=B^{-1} A^{-1} in Operator Algebra
- ian2012
- · Replies 1 ·
Undergrad Why linearly independent vectors imply unique coefficients
- sponsoredwalk
- · Replies 9 ·
Graduate A commutative ring with unity and Ideals
- emptyboat
- · Replies 1 ·
Undergrad Are the Columns of Matrix A Linearly Independent?
- scholesmu
- · Replies 1 ·
Undergrad Do Non-Square Matrices Span Spaces?
- xyz6
- · Replies 1 ·
Graduate Product Of Ideals - Why is the sum necessary?
- jd102684
- · Replies 4 ·
Undergrad Mathematical Induction on rationals
- mumatics
- · Replies 2 ·
Undergrad What is the line of support of a vector?
- phymatter
- · Replies 1 ·
Undergrad Linear Algebra Reference and Text
- Gabriel...
- · Replies 6 ·
Graduate Is There a Normal Subgroup K in Groups G and H with Index (G:K) ≤ n!?
- emptyboat
- · Replies 3 ·
Undergrad Integer solutions to 1/a + 1/b + 1/c = 1
- xax
- · Replies 14 ·
Undergrad How to Express Null(A) in Cartesian Form?
- canyonist
- · Replies 2 ·
Graduate Are F_5[x]/(x^2+2) and F_5[x]/(x^2+3) isomorphic rings?
- JackTheLad
- · Replies 4 ·
Graduate Determinants and Standard Orientation
- jakey
- · Replies 3 ·
Undergrad Importance of the first 3 primes
- trini
- · Replies 10 ·
Graduate Are Complex Sinusoids an Orthogonal Basis for L^2(\mathbb{R}) Space?
- mnb96
- · Replies 5 ·
Undergrad How do I determine a camera projection matrix?
- BlueScreenOD
- · Replies 1 ·
Undergrad Prove that every natural number is either odd or even
- Hobold
- · Replies 9 ·
Undergrad Unique solution of an overdetermined system
- Shaybay92
- · Replies 1 ·
Graduate Is an Ideal of Polynomials Without Constant Terms Finitely Generated?
- mesarmath
- · Replies 1 ·
Graduate Is a Submodule of a Cyclic R-Module Also Cyclic if R is a PID?
- mesarmath
- · Replies 2 ·
High School Product of any two even integers is a multiple of 4
- nastygoalie89
- · Replies 1 ·
Undergrad Can this be done in a simplier way? Magic Squares
- Dustinsfl
- · Replies 4 ·
Graduate How to prove that if A is a diagonalizable matrix, then the rank of A
- DavidLiew
- · Replies 2 ·
Graduate How Can We Prove the Transformation of Cross Product Under Orthogonal Matrices?
- jostpuur
- · Replies 7 ·
Graduate Period of superposed cyclic integer rows
- mahch
- · Replies 6 ·
Graduate Basis for kernel of linear transform
- Takuya
- · Replies 4 ·
Undergrad What are the properties of complex and conjugate matrices in linear algebra?
- sponsoredwalk
- · Replies 4 ·
High School Solving for x in terms of y: Methods and Alternatives
- phymatter
- · Replies 2 ·
Graduate Moment Problem: Unique Solution for Power Series g(x)=∑a(n)(-1)^nx^n
- zetafunction
- · Replies 3 ·
High School Abstract algebra - direct sum and direct product
- markoX
- · Replies 9 ·
Graduate Subspace matrix, dimension and basis
- caljuice
- · Replies 2 ·
Undergrad Component Vectors: Finding Along Non-Perpendicular Lines/Axes
- Ali Asadullah
- · Replies 1 ·
Graduate What Defines a Primitive Pythagorean Triple?
- kingwinner
- · Replies 8 ·
Graduate What is the determinant of a block matrix?
- maverick280857
- · Replies 4 ·
Undergrad How to get an input matrix from user?
- goofy
- · Replies 1 ·
Graduate Can This Definition of Pi Work in More Abstract Algebras?
- Gerenuk
- · Replies 2 ·
Graduate Proof of e_r = #{d: d $\mid$ n and $d = p_r^k$, $k \in N$} for n = $p_r^{e_r}$
- ballzac
- · Replies 4 ·
Graduate Relationship between size of conjugacy class and the normalizer?
- awetawef
- · Replies 1 ·
Graduate Why does reducing p modulo 8 preserve parity in (p²-1)/8?
- kingwinner
- · Replies 12 ·
Graduate Between two powers of an integer there is a power of two
- keniwas
- · Replies 5 ·
Graduate So it seems that GAP can do it..Identifying Groups in GAP: A Tutorial
- krishna mohan
- · Replies 2 ·
Graduate Does the floor function satisfy floor(x) = x + O(x^(1/2))?
- zetafunction
- · Replies 7 ·
Undergrad Column swap in an augmented matrix
- Shaybay92
- · Replies 1 ·
Graduate Chinese Remainder Theorem, Solving For Multiplicative Inverses
- cwatki14
- · Replies 2 ·
Undergrad Converting an equation to linear form with 'a' as the gradient
- kd001
- · Replies 7 ·
Graduate Linear operators, eigenvalues, diagonal matrices
- bjgawp
- · Replies 5 ·
Graduate Proof that phi(d) divides phi(n) when d divides n
- tarheelborn
- · Replies 7 ·
Graduate I want to solve this eq. (k(x)*g(x)')'=p*g(x)
- simplex
- · Replies 1 ·
Undergrad Linear algebra by Friedberg or Hoffman and Kunez?
- JayC
- · Replies 5 ·
Graduate How Many Values of i Change the Degree of gcd(f(x,i), g(x,i))?
- e_to_the_i_pi
- · Replies 6 ·
Graduate Why coefficients in affine combination should add up to 1
- martijnh
- · Replies 3 ·
Graduate Can Riemann's Prime Counting Function Be Solved by Residue Integration?
- saltydog
- · Replies 10 ·
Graduate What Are Some Examples of Infinite Pairwise Coprime Sets?
- sutupidmath
- · Replies 7 ·
Graduate Questions about a projection operator in the representation theoy of groups
- bobydbcn
- · Replies 8 ·
Graduate Kronecker Delta Expansion: What is the Result of δijδkk?
- cgstu
- · Replies 5 ·
Graduate Let [tex]R[/tex] be a ring with [tex]1_R[/tex]. If [tex]M[/tex] is an
- math_grl
- · Replies 2 ·
Undergrad Solve Unknown b in Matrix C for No Unique Solutions
- blackbear
- · Replies 5 ·
Graduate Understanding abelian Galois groups
- bham10246
- · Replies 16 ·
Graduate Can Linear Operators A and B Affect the Rank of AB in V?
- Zorba
- · Replies 1 ·
Graduate Primitive roots and reduced residue systems mod p
- kingwinner
- · Replies 8 ·
Graduate Second and third isomorphism theorem
- rainwyz0706
- · Replies 1 ·
High School Is a Prime Number Always a Factor of a Product of Integers?
- liangiecar
- · Replies 5 ·
Undergrad Vector Math: Squares, Roots, Logarithms
- Char. Limit
- · Replies 7 ·
Undergrad Proving a left invertible matrix has trivial kernel
- ImAnEngineer
- · Replies 10 ·
Finding Chen's Paper: "On the Representation of a Large Even Integer
- FunkyDwarf
- · Replies 4 ·
Braket Algebra Refresher: Free PDF Download
- zwoodrow
- · Replies 1 ·
Graduate What is the Proper Way to Take Derivatives of Tensors?
- quasar_4
- · Replies 1 ·
Graduate Why does the order of a mod m require gcd(a,m)=1?
- kingwinner
- · Replies 3 ·
Graduate Inversion of this Vandermonde matrix
- Gerenuk
- · Replies 4 ·
Graduate How Do You Calculate the Derivative of a Matrix with Respect to a Scalar?
- sauravrt
- · Replies 1 ·
Graduate What Is the Analytic Continuation of the Riemann Zeta Function?
- srijithju
- · Replies 8 ·
Undergrad Why matrix multiplication distributes over columns
- jugalyash
- · Replies 1 ·
Graduate Proof of Inf. Riemann Zeta Function Zeros at re(s)=1/2
- epkid08
- · Replies 1 ·