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
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 Order of Homomorphisms from Z to Z/2Z - Help Needed
- 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 Construct a rotation matrix out of another rotation matrix
- 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 Reduce 3x3 Matrix to Scalor Quantity - Help Needed
- 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 Independently & Linearly Confused
- 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 Help with Vector Line of Support: Can't Find It on Google
- 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 Solve 1/a + 1/b + 1/c = 1: Find All Integer Solutions
- xax
- · Replies 14 ·
Undergrad How to Express Null(A) in Cartesian Form?
- canyonist
- · Replies 2 ·
Graduate Solving Isomorphic Rings: \mathbb{F}_5[x]/(x^2+2) & \mathbb{F}_5[x]/(x^2+3)
- 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 Computing the Legendre Symbol (2/p) for Odd Primes: A Proof and Explanation
- 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 Help me convert this relationship into a linear equation
- kd001
- · Replies 7 ·
Graduate Linear operators, eigenvalues, diagonal matrices
- bjgawp
- · Replies 5 ·
Graduate Need Euler phi function proof help
- 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 & Reduced residue system
- 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 1. $\leftrightarrow$ 2.: A Matrix Invertibility Challenge
- 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 Order of a mod m & quadratic residues
- 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 Matrix Multiplication Explained: Why & What's the Pro?
- jugalyash
- · Replies 1 ·
Graduate Proof of Inf. Riemann Zeta Function Zeros at re(s)=1/2
- epkid08
- · Replies 1 ·
Undergrad What Are the Left Cosets of H in S_3?
- BustedBreaks
- · Replies 3 ·
Graduate Proof of Prime & Congruences: Solving x^2\equiv -2 \mod p
- kingwinner
- · Replies 7 ·