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 Tensor Product of V1 and V2 in Vector Space V: 0 Intersection Required?
- Werg22
- · Replies 3 ·
High School Core of matrix (pure translatio)
- maros522
- · Replies 3 ·
Undergrad What does the 'X' mean in the Mueller matrix rotation equation?
- islahna
- · Replies 5 ·
Graduate Proof, intersection and sum of vector spaces
- lukaszh
- · Replies 4 ·
Graduate Apparent fallacy in linear operator theory
- neelakash
- · Replies 1 ·
Graduate Why eigenvalue specification reduces the no. of LI equations?
- neelakash
- · Replies 1 ·
Graduate Is e^ix multivalued, roots of unity, etc
- okkvlt
- · Replies 6 ·
Graduate Solving AX=B with Preconditioned Conjugate Gradient Algorithm
- callingearth
- · Replies 2 ·
Graduate Isomorphism between R^inf and a proper subset of R^inf
- jojo12345
- · Replies 4 ·
Graduate Can Any Inner Product Be Defined in Infinite Dimensional Vector Spaces?
- neelakash
- · Replies 2 ·
Graduate Finding Fixed Points of Affine Transformations | EWW
- EWW
- · Replies 9 ·
Graduate When do objects factorize uniquely?
- Gerenuk
- · Replies 2 ·
Graduate Help w/ Proof in Category Theory
- mathsss2
- · Replies 2 ·
Undergrad Diagonalizable Matrices & Eigenvalues
- Este
- · Replies 6 ·
Undergrad Finding Axes of Conic Section Equation
- aamirnshah
- · Replies 3 ·
Undergrad Does divisibility apply to imaginary numbers?
- glass.shards
- · Replies 5 ·
Undergrad What is the identity for coplanar, non-collinear vectors?
- atavistic
- · Replies 8 ·
Graduate Odds that two numbers are coprime
- soandos
- · Replies 1 ·
Undergrad What are the rank conditions for consistency of a linear algebraic system?
- cheesefondue
- · Replies 3 ·
High School How can I improve this equation to work in all cases?
- pjhphysics
- · Replies 8 ·
Undergrad Find P.Q & Q.P from Permutations of X (1,2,3,4,5)
- FatTail
- · Replies 4 ·
Graduate How Can I Derive a Set of 3x3 Matrices Analogous to the Pauli Matrices?
- Dahaka14
- · Replies 6 ·
Undergrad Is a Two by Two Matrix a Basis if ad - bc = ±1?
- soandos
- · Replies 11 ·
Graduate Happy holidays,BenDecomposing tensor product of GL(2,C) representations
- swallowtail
- · Replies 1 ·
Undergrad Linear Algebra transformation Question
- samspotting
- · Replies 14 ·
Graduate Do Non-Associative Groups Exist and What Are Their Applications?
- Winzer
- · Replies 3 ·
Undergrad Why 30 is the largest integer such that none of its ?
- HussamLawen
- · Replies 2 ·
Undergrad Relation between rank and number of non-zero eigen values.
- NaturePaper
- · Replies 11 ·
Undergrad Linear Transformation from R^2 to R^3
- JG89
- · Replies 4 ·
Graduate Novel Constant \sum and \int s^{-s} - Defining a Fundamental Constant?
- Loren Booda
- · Replies 2 ·
Graduate Questions about group presentations
- samkolb
- · Replies 4 ·
Graduate This upper limit is wrong I need a help
- norbert
- · Replies 2 ·
Undergrad Does group theory deal with asymmetry?
- jjoensuu
- · Replies 2 ·
Undergrad Understanding the Properties of Dot Product: Is it Truly Associative?
- Apteronotus
- · Replies 7 ·
Undergrad Finding Arbitrary nth Roots of -1 Algebraically
- soandos
- · Replies 6 ·
Graduate What is group theory all about?
- oldman
- · Replies 6 ·
Undergrad Matrix Multiplication and Addition with Identity and Zero Matrices
- fazal
- · Replies 3 ·
Graduate Relating Two-Dimensional Vectors and Complex Numbers
- Sollytear
- · Replies 6 ·
Undergrad Solving Equations Involving A⁻¹, B⁻¹ and C⁻¹
- fazal
- · Replies 3 ·
Graduate Root of Non-Linear Eqn (Numerical Method)
- Apteronotus
- · Replies 1 ·
Graduate Zeta function in the critical strip
- TheOogy
- · Replies 10 ·
Graduate What Are the Key Concepts of Dual Vector Spaces?
- Etenim
- · Replies 2 ·
Graduate Is the Inverse of a Matrix a Continuous Function?
- tjm7582
- · Replies 9 ·
Undergrad Quadratic forms, diagonalization
- student111
- · Replies 3 ·
Undergrad Calculating Pi in Binary: How Many Decimals Do I Need?
- Priha
- · Replies 9 ·
Graduate Raising Matrices to power of n. (complex)
- Epsillon
- · Replies 7 ·
Undergrad Mappings and Inverses: More Than One Left Inverse?
- kidsmoker
- · Replies 2 ·
Graduate What is the definition of R in the tensor product construction?
- amicciulla
- · Replies 1 ·
Undergrad Yes, that was exactly what I couldn't get. Thank you for clarifying it for me!
- Daveyboy
- · Replies 10 ·
Undergrad Understanding the Ordered Basis in Linear Algebra
- dmuthuk
- · Replies 3 ·
Undergrad Three Digit Prime Number Puzzle: Forming Primes with All Prime Digits
- Loren Booda
- · Replies 14 ·
Graduate What is the proof for GCD(n.m)=1 if 2^m-1 and 2^n-1 have a common divisor of 1?
- HussamLawen
- · Replies 3 ·
Undergrad Can a Matrix Be Expressed as a Sum of Diagonalizable and Nilpotent Matrices?
- MathIdiot
- · Replies 7 ·
Graduate How Accurate Are Partial Sums in Estimating e^N?
- Nurdan
- · Replies 1 ·
Graduate Hermitian vs. self-adjoint operators
- Heirot
- · Replies 10 ·
Undergrad Are Column Vectors in AB Unchanged if Linearly Independent?
- only_huce
- · Replies 1 ·
Graduate Cracking the Code: Decoding the Pattern of 3D Mirror Inverted Numbers
- Rhuben
- · Replies 2 ·
Graduate Su(2) Lie Algebra in SO(3): Why Choose Omega/2?
- sunkesheng
- · Replies 6 ·
Graduate Uniquely n-Divisible and Torsionfree Groups in Exact Sequences
- mathsss2
- · Replies 13 ·
Graduate Tensor components of a Hodge dual
- guhan
- · Replies 2 ·
Graduate Unsolvable Exponential: Solving x = y^y
- soandos
- · Replies 50 ·
Graduate Carmichael Number: Proving $(d+p)(p-1)$ Divisor of $q-1$
- peteryellow
- · Replies 2 ·
Undergrad A Challenge: Uncovering the Pattern of Prime Numbers
- ƒ(x)
- · Replies 28 ·
Graduate Identity of Zeta function
- mhill
- · Replies 1 ·
Undergrad Can You Solve the Equation X^2 + Y^2 + Z^2 = NXYZ for Natural N?
- hadi amiri 4
- · Replies 2 ·
Graduate Imaginary Zeros of Zeta Function
- rman144
- · Replies 4 ·
Graduate Mobius Inversion, finite subgroup
- mathsss2
- · Replies 1 ·
Undergrad Chance of random walk returning to origin
- Loren Booda
- · Replies 14 ·
Graduate Where Fibonacci numbers surpass prime numbers
- Loren Booda
- · Replies 4 ·
Graduate Symmetric group (direct product and decomposition)
- Symmetryholic
- · Replies 13 ·
Undergrad Linear Algerba - Finding linearly independent vectors
- Moomax
- · Replies 5 ·
Undergrad Why Use the Last Row of the Elimination Matrix for Left Nullspace?
- only_huce
- · Replies 1 ·
Graduate Solving a Puzzling Problem: No A Exists for Symmetric Matrix B
- BOS200011
- · Replies 7 ·
Graduate If the z-transform of x[n] is X(z)
- symsane
- · Replies 4 ·
Undergrad Systems of algebraic equations
- jimmy1
- · Replies 9 ·
Graduate Hilbert spaces: Explicit example of an unbounded operator?
- cogito²
- · Replies 14 ·
Graduate Difficult polynomial and determinant formula
- jostpuur
- · Replies 26 ·
Graduate What is the Concept of Zero Double Trace in Tensor Analysis?
- kauw7
- · Replies 4 ·
Undergrad Finding Inverse of 6x6 Matrix: A Numerical Solution
- Zurtex
- · Replies 14 ·
Undergrad Is (x^4)+1 Reducible over Z5 and Z?
- billybob12345
- · Replies 3 ·
Graduate Why is the Gram-Schmidt Process Numerically Unstable?
- ModernLogic
- · Replies 2 ·
Graduate Galois extension, lattice of subfields
- mathsss2
- · Replies 1 ·
Undergrad How is a matrix diagonalised?
- eluu
- · Replies 13 ·
Graduate Isomorphism of su(2) and sl(2,C): Tensor w/ Complex Numbers
- koolmodee
- · Replies 6 ·
Undergrad Is This Norm Equality Correct for \( Ax \)?
- ahamdiheme
- · Replies 1 ·
Undergrad Finding a vector orthogonal to others
- logarithmic
- · Replies 18 ·
Graduate Irreducible polynomial, cyclic group
- mathsss2
- · Replies 2 ·
Graduate What Are the Subfields of F=F_{p^{18}} and Their Lattice Representation?
- mathsss2
- · Replies 2 ·
Graduate Proving Vector Space Relationships in WU{A} and WU{B}
- LAINHELL
- · Replies 1 ·
Graduate What are the properties of valuation rings and their ideals?
- mathsss2
- · Replies 1 ·
Graduate Solve a system of linear equations Ax=kb
- turbulent1
- · Replies 3 ·
Graduate How Can You Define an Inner Product to Orthogonalize Arbitrary Basis Matrices?
- turin
- · Replies 18 ·
Graduate Z[i]-module Question: Finding Torsion and Integer r for Module M
- mathsss2
- · Replies 1 ·
Graduate What is the Significance of the Orbit of P in Sylow's Theorems?
- mathsss2
- · Replies 1 ·
Undergrad Understanding Ax=b: Linear Dependency & Solutions
- CalculusSandwich
- · Replies 8 ·
Undergrad Finding Basis for Matrix Transformation: SBT = E_k
- Marin
- · Replies 2 ·
Graduate Number of primative roots in finite fields of order p^n
- Bourbaki1123
- · Replies 1 ·
Graduate Vector Product in C³: Explained & Standard Basis
- koolmodee
- · Replies 2 ·
Graduate Symmetries and Transformation Groups of Equilateral Triangle & Icosahedron
- koolmodee
- · Replies 3 ·
Graduate Is My Lie Algebra 4D or 5D Given These Structure Constants?
- bartadam
- · Replies 2 ·