Linear and Abstract Algebra Forum

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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.
Graduate Is e^ix multivalued, roots of unity, etc
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Graduate Solving AX=B with Preconditioned Conjugate Gradient Algorithm
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Graduate Isomorphism between R^inf and a proper subset of R^inf
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Graduate Can Any Inner Product Be Defined in Infinite Dimensional Vector Spaces?
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Graduate Finding Fixed Points of Affine Transformations | EWW
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Graduate When do objects factorize uniquely?
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Graduate Help w/ Proof in Category Theory
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Undergrad Diagonalizable Matrices & Eigenvalues
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Undergrad Finding Axes of Conic Section Equation
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Undergrad Does divisibility apply to imaginary numbers?
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Undergrad What is the identity for coplanar, non-collinear vectors?
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Graduate Odds that two numbers are coprime
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Undergrad What are the rank conditions for consistency of a linear algebraic system?
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High School How can I improve this equation to work in all cases?
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Undergrad Find P.Q & Q.P from Permutations of X (1,2,3,4,5)
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Graduate How Can I Derive a Set of 3x3 Matrices Analogous to the Pauli Matrices?
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Undergrad Is a Two by Two Matrix a Basis if ad - bc = ±1?
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Graduate Happy holidays,BenDecomposing tensor product of GL(2,C) representations
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Undergrad Linear Algebra transformation Question
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Graduate Do Non-Associative Groups Exist and What Are Their Applications?
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Undergrad Why 30 is the largest integer such that none of its ?
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Undergrad Relation between rank and number of non-zero eigen values.
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Undergrad Linear Transformation from R^2 to R^3
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Graduate Novel Constant \sum and \int s^{-s} - Defining a Fundamental Constant?
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Graduate Questions about group presentations
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Graduate This upper limit is wrong I need a help
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Undergrad Does group theory deal with asymmetry?
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Undergrad Understanding the Properties of Dot Product: Is it Truly Associative?
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Undergrad Finding Arbitrary nth Roots of -1 Algebraically
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Graduate What is group theory all about?
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Undergrad Matrix Multiplication and Addition with Identity and Zero Matrices
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Graduate Relating Two-Dimensional Vectors and Complex Numbers
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Undergrad Solving Equations Involving A⁻¹, B⁻¹ and C⁻¹
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Graduate Root of Non-Linear Eqn (Numerical Method)
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Graduate Zeta function in the critical strip
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Graduate What Are the Key Concepts of Dual Vector Spaces?
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Graduate Is the Inverse of a Matrix a Continuous Function?
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Undergrad Quadratic forms, diagonalization
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Undergrad Calculating Pi in Binary: How Many Decimals Do I Need?
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Graduate Raising Matrices to power of n. (complex)
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Undergrad Mappings and Inverses: More Than One Left Inverse?
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Graduate What is the definition of R in the tensor product construction?
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Undergrad Yes, that was exactly what I couldn't get. Thank you for clarifying it for me!
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Undergrad Understanding the Ordered Basis in Linear Algebra
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Undergrad Three Digit Prime Number Puzzle: Forming Primes with All Prime Digits
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Graduate What is the proof for GCD(n.m)=1 if 2^m-1 and 2^n-1 have a common divisor of 1?
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Undergrad Can a Matrix Be Expressed as a Sum of Diagonalizable and Nilpotent Matrices?
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Graduate How Accurate Are Partial Sums in Estimating e^N?
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Graduate Hermitian vs. self-adjoint operators
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Undergrad Are Column Vectors in AB Unchanged if Linearly Independent?
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Graduate Cracking the Code: Decoding the Pattern of 3D Mirror Inverted Numbers
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Graduate Su(2) Lie Algebra in SO(3): Why Choose Omega/2?
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Graduate Uniquely n-Divisible and Torsionfree Groups in Exact Sequences
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Graduate Tensor components of a Hodge dual
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Graduate Unsolvable Exponential: Solving x = y^y
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Graduate Carmichael Number: Proving $(d+p)(p-1)$ Divisor of $q-1$
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Undergrad A Challenge: Uncovering the Pattern of Prime Numbers
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Graduate Identity of Zeta function
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Undergrad Can You Solve the Equation X^2 + Y^2 + Z^2 = NXYZ for Natural N?
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Graduate Imaginary Zeros of Zeta Function
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Graduate Mobius Inversion, finite subgroup
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Undergrad Chance of random walk returning to origin
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Graduate Where Fibonacci numbers surpass prime numbers
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Graduate Symmetric group (direct product and decomposition)
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Undergrad Linear Algerba - Finding linearly independent vectors
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Undergrad Why Use the Last Row of the Elimination Matrix for Left Nullspace?
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Graduate Solving a Puzzling Problem: No A Exists for Symmetric Matrix B
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Graduate If the z-transform of x[n] is X(z)
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Undergrad Systems of algebraic equations
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Graduate Hilbert spaces: Explicit example of an unbounded operator?
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Graduate Difficult polynomial and determinant formula
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Graduate What is the Concept of Zero Double Trace in Tensor Analysis?
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Undergrad Finding Inverse of 6x6 Matrix: A Numerical Solution
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Undergrad Is (x^4)+1 Reducible over Z5 and Z?
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Graduate Why is the Gram-Schmidt Process Numerically Unstable?
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Graduate Galois extension, lattice of subfields
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Undergrad How is a matrix diagonalised?
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Graduate Isomorphism of su(2) and sl(2,C): Tensor w/ Complex Numbers
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Undergrad Is This Norm Equality Correct for \( Ax \)?
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Undergrad Finding a vector orthogonal to others
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Graduate Irreducible polynomial, cyclic group
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Graduate What Are the Subfields of F=F_{p^{18}} and Their Lattice Representation?
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Graduate Proving Vector Space Relationships in WU{A} and WU{B}
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Graduate What are the properties of valuation rings and their ideals?
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Graduate Solve a system of linear equations Ax=kb
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Graduate How Can You Define an Inner Product to Orthogonalize Arbitrary Basis Matrices?
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Graduate Z[i]-module Question: Finding Torsion and Integer r for Module M
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Graduate What is the Significance of the Orbit of P in Sylow's Theorems?
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Undergrad Understanding Ax=b: Linear Dependency & Solutions
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Undergrad Finding Basis for Matrix Transformation: SBT = E_k
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Graduate Number of primative roots in finite fields of order p^n
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Graduate Vector Product in C³: Explained & Standard Basis
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Graduate Symmetries and Transformation Groups of Equilateral Triangle & Icosahedron
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Graduate Is My Lie Algebra 4D or 5D Given These Structure Constants?
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Undergrad Plotting Pythagorean triples in a polar form
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Graduate Surds as a vector space, but really an analysis question I think
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Graduate Edouard Lucas. Théorie des Nombres. Help with his unpublished Second Volume
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Graduate Jordan Normal Form & Wronskian Derivative
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Undergrad Solution space to homogenous equations.
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Undergrad How to Find the General Solution for a Matrix with a Free Variable?
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