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 Contravariant vs Covariant components - misprint?
- Evgn
- · Replies 1 ·
Undergrad Why Is the Rank of a Matrix Equal to Its Number of Pivot Points?
- aaaa202
- · Replies 14 ·
Graduate What does this notation mean? Linear map A = [A^\mu \nu]_\mu \nu
- nonequilibrium
- · Replies 6 ·
Graduate Galois Groups for a system of Linear equations?
- joebohr
- · Replies 20 ·
Undergrad Is There a Method to Find the Inverse of a Singular Matrix?
- AsadHanif
- · Replies 6 ·
Graduate What is the Post-office Problem for n>2?
- Bacle2
- · Replies 2 ·
Graduate Residue field of p-adic integers
- pablis79
- · Replies 6 ·
Graduate Proof of existence of opposite roots in semisimple algebras?
- naima
- · Replies 3 ·
Graduate Product of a specific sequence of prime number squares
- Vishalrox
- · Replies 2 ·
Undergrad Do 3 dimensional matrices exist?
- Rob K
- · Replies 7 ·
Undergrad Solving Matrix equstions of the type: AX = C (FIND The X) - (NOT HW)
- rugh
- · Replies 3 ·
Graduate Algebra-Modules generalize Ring-Modules?
- gauss mouse
- · Replies 2 ·
Graduate What Does a = b (mod pZp) Mean in p-adic Numbers?
- pablis79
- · Replies 4 ·
Graduate Question regarding quadratic-like residues in (Z/pZ) .
- zack_vt
- · Replies 2 ·
Graduate Group like elements of Universal enveloping algebras
- MrQG
- · Replies 1 ·
Graduate Finite Groups and Three Dimensional Pseudo Real Representations: An Exploration
- rkrsnan
- · Replies 4 ·
Undergrad Generating Function: Formula for Nth Term?
- Emilijo
- · Replies 6 ·
Graduate Prove that (n) is divisible by (n)^(n-1)
- sothea hoeung
- · Replies 2 ·
Graduate 2-norm Pseudoinverse Upper Bound
- baggiano
- · Replies 3 ·
Graduate If A + B = AB then AB = BA for nxn matrices
- tornado28
- · Replies 5 ·
Graduate Efficient Computation of Square Root of Covariance Matrix
- foges
- · Replies 2 ·
Graduate Direct product of two groups with different n-spaces
- huey910
- · Replies 2 ·
Undergrad Projecting 3D point to 2D / view-point
- onako
- · Replies 4 ·
High School Complex / imaginary numbers trigonometric graphs
- MegaDeth
- · Replies 1 ·
Graduate Efficient Algorithm for Calculating f(x)modg(x) with Large Degrees
- smslca
- · Replies 1 ·
Graduate Understanding Matrix Solutions: AX=B vs. AX=0
- aaaa202
- · Replies 3 ·
Undergrad Any numbers being Complex numbers
- Anachronistic
- · Replies 3 ·
Graduate An approach to the Twin Prime Conjecture
- galoisjr
- · Replies 14 ·
Undergrad Expressing Vector a as the Sum of Two Vectors Parallel and Perpendicular to b
- Physics_Student
- · Replies 9 ·
Graduate Generalizations of Determinants: Permanents, Immanants, etc.
- lpetrich
- · Replies 2 ·
Graduate Proving non-existence of integer solutions by reducing mod p
- Poopsilon
- · Replies 5 ·
Undergrad Modulo division with negative power ?
- smslca
- · Replies 1 ·
Graduate Permutations commuting with their powers
- copper-head
- · Replies 8 ·
Undergrad Transpose of a matrix with mixed indices
- eoghan
- · Replies 4 ·
Graduate What Happens if Coefficients of Kronecker Delta are Zero?
- jonjacson
- · Replies 10 ·
Graduate Solving for α in equation from law of cosines
- dbarger1225
- · Replies 3 ·
High School Is f(x) = ax + b Truly a Linear Function?
- pamparana
- · Replies 1 ·
Undergrad Solving Equation Ʃ(ai^x -b)^2 = C
- Mikca10
- · Replies 7 ·
Undergrad Finding Third Angle of Vector in XYZ Plane
- Rob K
- · Replies 2 ·
Graduate What is the difference between roots and weights in Lie algebra theory?
- Andy_X
- · Replies 1 ·
Graduate Proving equality of two matrix expressions with P, R, and J
- Chuck37
- · Replies 3 ·
Graduate Resetting the Affine Transformation matrix
- Avinash Raj
- · Replies 2 ·
Undergrad GEBRA: Representation and Operations of Matrices - FAQs
- rollcast
- · Replies 2 ·
Undergrad What is the frustration with a professor's teaching style?
- Nano-Passion
- · Replies 7 ·
Undergrad What does eigenvalues and eigenvectors mean?
- chubbypaddy
- · Replies 2 ·
Undergrad Complex solution of a cubic function.
- yoyoyo992
- · Replies 2 ·
Undergrad Further Maths, D1 - Dijkstra's Algorithm
- I-need-help
- · Replies 4 ·
Graduate Mobius inversion of sums over integers in Edwards' Zeta Function
- SychoScribler
- · Replies 2 ·
Graduate Difference in Powers of Odd Primes
- omalleyt
- · Replies 3 ·
Undergrad What algorithm can solve a linear minimization problem with given constraints?
- specone
- · Replies 3 ·
Graduate When Is the Mod2-Reduction Map Onto for Matrix Groups?
- Bacle
- · Replies 2 ·
Graduate Understanding Lie Algebra Operations: [A, B] and the meaning of ad
- romsofia
- · Replies 2 ·
Undergrad Injective and Surjective linear transformations
- AntsyPants
- · Replies 4 ·
Graduate Roots of Cubic Polynomials over R
- alexfloo
- · Replies 3 ·
Graduate Can 3-fields be consistently defined and constructed?
- Damidami
- · Replies 8 ·
Graduate Which Homomorphisms are Injective and Surjective between Z plus and Z plus?
- sleventh
- · Replies 2 ·
Graduate Are all isomorphisms between Hilbert spaces also isometries?
- jfy4
- · Replies 17 ·
Graduate Eigenvalues of a completely disconnected graph
- kosmos
- · Replies 8 ·
Graduate Eigenvalues for a 400x400 normalized laplacian of a graph
- kosmos
- · Replies 8 ·
Undergrad Eigenvalues and eigenvectors of symmetric 2x2 matrix?
- malawi_glenn
- · Replies 5 ·
High School Why is BEDMAS/PEMDAS a widely used convention in mathematics?
- kramer733
- · Replies 2 ·
Graduate Find the nth Term of a Generating Function
- Emilijo
- · Replies 1 ·
Undergrad What are some good sources for learning abstract algebra?
- 22984355
- · Replies 1 ·
Graduate Maximal subgroup of a product of groups?
- moont14263
- · Replies 2 ·
Graduate Diagonalizing A: Is it Possible with Rational Numbers?
- quasar987
- · Replies 2 ·
Graduate Generating Function for 0,1 Sequences with Period m
- Emilijo
- · Replies 8 ·
Undergrad How do change of basis matrices work in linear algebra?
- aaaa202
- · Replies 3 ·
Undergrad Finding the nth Partial Sum for a Series Involving Floor and Mod Operators
- m84uily
- · Replies 6 ·
Graduate Skyline storage is only for symetric matrices?
- Ronankeating
- · Replies 1 ·
Graduate Can Euler's Formula Be Modified to Create a Logarithmic Spiral?
- Ahmidahn
- · Replies 13 ·
Undergrad How do I numerically find eigenvectors for given eigenvalues?
- hkBattousai
- · Replies 6 ·
Graduate Notation for elementary symmetric polynomials in roots
- galoisjr
- · Replies 2 ·
Graduate Inner Product for Vectors in Complex Space
- Hacky
- · Replies 10 ·
Undergrad Are determinant and characteristic polynomial of a matrix unique?
- -Dragoon-
- · Replies 7 ·
Undergrad How Can Binary Vectors Be Ordered Through Transformation?
- baxy
- · Replies 3 ·
Graduate Gauss Composition? and a naive composition law
- Mathguy15
- · Replies 3 ·
Graduate When does an operator A with Af=Mf have an inverse B?
- Longmarch
- · Replies 9 ·
Graduate Can Eigenvectors Diagonalize a Matrix with Only One Eigenvalue?
- b00tofuu
- · Replies 1 ·
Graduate Are units considered irreducible
- moont14263
- · Replies 2 ·
Graduate How can we proof this matrix norm equality?
- JohnNL
- · Replies 1 ·
Graduate How to determine an infinitely dimensional matrix is positive definite
- kevchang
- · Replies 2 ·
Undergrad Linear Programming - Separation of points
- lockedup
- · Replies 7 ·
Graduate What is Nonunique Factorization Theory in Number Theory?
- camilus
- · Replies 5 ·
Graduate How do stabilizers and isomorphisms work in the Sn group?
- eddyski3
- · Replies 1 ·
Undergrad Is it possible to extract the diagonal elements of a matrix into a vector?
- 7Deuce
- · Replies 1 ·
Graduate Fibonacci numbers as coefficients in three variable system of equations
- fibonacci235
- · Replies 2 ·
Graduate Group isomorphisms and bijective maps
- fa2209
- · Replies 7 ·
Undergrad Can a Formula Create True Randomness?
- Krunchyman
- · Replies 1 ·
Graduate How are the orders of a, b and ab related in a non-abelian group?
- Bachelier
- · Replies 4 ·
Graduate Components of the trace operation
- fa2209
- · Replies 5 ·
High School Need program for operating on 200-digited numbers
- jobsism
- · Replies 5 ·
Graduate Generalized eigenvectors/eigenvalues
- AxiomOfChoice
- · Replies 5 ·
Undergrad Whats the best software to calculate very large numbers?
- clearwater304
- · Replies 12 ·
Graduate Subgroups of dihedral group and determining if normal
- sleventh
- · Replies 19 ·
Evaluating the Accuracy of (Attached) Statements
- AlonsoMcLaren
- · Replies 2 ·
Graduate Is a Subgroup of a Normal Subgroup Always Normal?
- Bachelier
- · Replies 15 ·
Undergrad Solving z^6 = 1 using De Moivre's Theorem |z|^6(cos 6θ + isin6θ) = 1
- silontes
- · Replies 9 ·
High School Is n(0) Always Equal to 0? A Debate on Friend's Creative Proof
- Nano-Passion
- · Replies 38 ·
Undergrad Why the inner product of two orthogonal vectors is zero
- flyerpower
- · Replies 3 ·
Graduate Rank(AB) = Rank(A)Rank(B)?The Rank Product Theorem for Matrices
- itpro
- · Replies 1 ·