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