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 Galois Groups for a system of Linear equations?
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Undergrad Is There a Method to Find the Inverse of a Singular Matrix?
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Graduate What is the Post-office Problem for n>2?
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Graduate Residue field of p-adic integers
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Graduate Proof of existence of opposite roots in semisimple algebras?
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Graduate Product of a specific sequence of prime number squares
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Undergrad Do 3 dimensional matrices exist?
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Undergrad Solving Matrix equstions of the type: AX = C (FIND The X) - (NOT HW)
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Graduate Algebra-Modules generalize Ring-Modules?
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Graduate What Does a = b (mod pZp) Mean in p-adic Numbers?
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Graduate Question regarding quadratic-like residues in (Z/pZ) .
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Graduate Group like elements of Universal enveloping algebras
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Graduate Finite Groups and Three Dimensional Pseudo Real Representations: An Exploration
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Undergrad Generating Function: Formula for Nth Term?
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Graduate Prove that (n) is divisible by (n)^(n-1)
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Graduate 2-norm Pseudoinverse Upper Bound
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Graduate Qual Problem: When do Matrices Commute?
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Graduate Efficient Computation of Square Root of Covariance Matrix
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Graduate Direct product of two groups with different n-spaces
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Undergrad Projecting 3D point to 2D / view-point
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High School Complex / imaginary numbers trigonometric graphs
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Graduate Efficient Algorithm for Calculating f(x)modg(x) with Large Degrees
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Graduate Understanding Matrix Solutions: AX=B vs. AX=0
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Undergrad Any numbers being Complex numbers
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Graduate An approach to the Twin Prime Conjecture
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Undergrad Expressing Vector a as the Sum of Two Vectors Parallel and Perpendicular to b
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Graduate Generalizations of Determinants: Permanents, Immanants, etc.
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Graduate Proving non-existence of integer solutions by reducing mod p
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Undergrad Modulo division with negative power ?
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Graduate Permutations commuting with their powers
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Undergrad Transpose of a matrix with mixed indices
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Graduate What Happens if Coefficients of Kronecker Delta are Zero?
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Graduate Help with extracting alpha from: -alpha-asin(sin(alpha)(r/l)
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High School Is f(x) = ax + b Truly a Linear Function?
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Undergrad Solving Equation Ʃ(ai^x -b)^2 = C
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Undergrad Finding Third Angle of Vector in XYZ Plane
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Graduate What is the difference between roots and weights in Lie algebra theory?
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Graduate Help proving equality of matrix expressions
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Graduate Resetting the Affine Transformation matrix
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Undergrad GEBRA: Representation and Operations of Matrices - FAQs
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Undergrad What is the frustration with a professor's teaching style?
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Undergrad What does eigenvalues and eigenvectors mean?
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Undergrad Complex solution of a cubic function.
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Undergrad Further Maths, D1 - Dijkstra's Algorithm
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Graduate Help with Mobius Inversion in Riemann's Zeta Function by Edwards (J to Prime Pi)
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Graduate Difference in Powers of Odd Primes
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Undergrad What algorithm can solve a linear minimization problem with given constraints?
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Graduate When Is the Mod2-Reduction Map Onto for Matrix Groups?
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Graduate Understanding Lie Algebra Operations: [A, B] and the meaning of ad
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Undergrad Injective and Surjective linear transformations
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Graduate Roots of Cubic Polynomials over R
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Graduate Can 3-fields be consistently defined and constructed?
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Graduate Which Homomorphisms are Injective and Surjective between Z plus and Z plus?
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Graduate Isomorphism & Isometry: Hilbert Spaces
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Graduate Eigenvalues of a completely disconnected graph
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Graduate Eigenvalues for a 400x400 normalized laplacian of a graph
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Undergrad Eigenvalues and eigenvectors of symmetric 2x2 matrix?
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High School Why is BEDMAS/PEMDAS a widely used convention in mathematics?
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Graduate Find the nth Term of a Generating Function
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Undergrad What are some good sources for learning abstract algebra?
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Graduate Maximal subgroup of a product of groups?
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Graduate Diagonalizing A: Is it Possible with Rational Numbers?
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Graduate Generating Function for 0,1 Sequences with Period m
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Undergrad How do change of basis matrices work in linear algebra?
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Undergrad Finding the nth Partial Sum for a Series Involving Floor and Mod Operators
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Graduate Skyline storage is only for symetric matrices?
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Graduate Can Euler's Formula Be Modified to Create a Logarithmic Spiral?
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Undergrad How do I numerically find eigenvectors for given eigenvalues?
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Graduate Question about the permutations of roots as polynomial coefficients
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Graduate Inner Product for Vectors in Complex Space
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Undergrad Question about determinants and characteristic polynomials.
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Undergrad How Can Binary Vectors Be Ordered Through Transformation?
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Graduate Gauss Composition? and a naive composition law
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Graduate Solving Queries on Operators: Af = Mf & BAf = f?
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Graduate Can Eigenvectors Diagonalize a Matrix with Only One Eigenvalue?
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Graduate Are units considered irreducible
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Graduate How can we proof this matrix norm equality?
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Graduate How to determine an infinitely dimensional matrix is positive definite
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Undergrad Linear Programming - Separation of points
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Graduate What is Nonunique Factorization Theory in Number Theory?
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Graduate How do stabilizers and isomorphisms work in the Sn group?
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Undergrad Is it possible to extract the diagonal elements of a matrix into a vector?
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Graduate Fibonacci numbers as coefficients in three variable system of equations
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Graduate Group isomorphisms and bijective maps
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Undergrad Can a Formula Create True Randomness?
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Graduate Order of Elements: Non-Abelian Group G & Correlation between |a|, |b|, |ab|?
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Graduate Components of the trace operation
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High School Need program for operating on 200-digited numbers
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Graduate Generalized eigenvectors/eigenvalues
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Undergrad Whats the best software to calculate very large numbers?
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Graduate Subgroups of dihedral group and determining if normal
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Evaluating the Accuracy of (Attached) Statements
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Graduate Is a Subgroup of a Normal Subgroup Always Normal?
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Undergrad Solving z^6 = 1 using De Moivre's Theorem |z|^6(cos 6θ + isin6θ) = 1
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High School Is n(0) Always Equal to 0? A Debate on Friend's Creative Proof
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Undergrad Why the inner product of two orthogonal vectors is zero
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Graduate Rank(AB) = Rank(A)Rank(B)?The Rank Product Theorem for Matrices
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Undergrad Why Must Free Variables Be Non-Leading in Linear Systems?
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Graduate Why is a Linear Transformation a Type-(1,1) Tensor?
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Graduate Proving the Simplicity of a Group of Order 36 Using Sylow Subgroups
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