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.
Crash course in abstract algebra
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Understanding the Trivial Zeros of the Riemann Hypothesis
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Guessing Number-Generating Algorithm
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What's the effect of using modular counting in matrices?
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Fermat's Last Theorem: Proving the Impossibility of Integral Solutions for n>2
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Group Formation: Converting Sets into Groups with Binary Operations
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Repost of Carrying and cocycles by james dolan (part one)
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Why are vector spaces and sub-spaces so crucial in math?
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Can the Triangular Number Identity Be Simplified Further for Different Series?
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Gram–Schmidt Process for Orthonormalizing Vectors in R^n
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Solve Fermat's Equation: Leopold Kronecker UFD
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Orthogonal Matrices Explained: Examples & More
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'Pseudocubality' - fast tests for large possible-cubes
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What Are Inverse Transformations and Generating Functions?
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Hypermatrices and Hyperdeterminant
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Need help to proof Adjugate Matrix
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Question on a form of the Euler constant
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Grassmann Numbers: Generator Symbols & More
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Complementary slackness and the transportation problem
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Non-Inner Product Metric Space: Understanding & Examples
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Understanding the field structure for A_5 and more
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Which Book Explains Linear Operators in Quantum Mechanics for Beginners?
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What is the connection between discriminants and Galois groups?
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Proving Constant Sequence of Positive Integers Starting with n
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Prep for Algebra Comprehensive Exam #4
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Discriminant - Nice thinking stump
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Let E be an algebraic over F, F is perfect. Show that E is perfect
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An elementary question regarding Galois theory
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Constructing a Division Ring of Quaternions over K: Conditions and Solutions
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Group isomorphism and Polynomial ring modulo ideal
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Subspace Addition: Understanding the Union of A and B
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Unique Factorization in $\mathbb{Z}[\zeta]$
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Certain product sequences and their factors
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Prove Finite Simple Group has no Subgroup of Index 5
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Prep for Algebra Comprehensive Exam #3
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Field trace and norm (Equivalence between definitions)
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Inner Product Space over Fnite Field
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Galois extension of a field with Characteristic 0
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What is the pattern of twin prime acceleration?
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Why is \(\phi^{-1}(a'b') = (\phi^{-1}a')(\phi^{-1}b')\) True?
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Why is x not invertible in F[x]?
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Understanding Subgroups of Integers: Explained Simply
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Showing that a subgroup is subnormal in the original group G
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Galois Theory (degree 4 polynomial)
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An ideal in a ring as 'analogous' to a normal subgroup of a group, but
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Free Number Theory Basics for Beginners
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Solving Linear Program (P): Adding Slack Variables
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It shows that V is the dual space of V*?
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How do I perform eigenvalue analysis for a matrix without mathematical software?
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Prep for Algebra Comprehensive Exam #2
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Why Does G Equal N_G(P)N in Group Theory?
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Solve formulas containing the floor function
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Is G_nm Isomorphic to G_n x G_m?
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Cartesian Tensors and transformation matrix
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What is the Orthogonal Decomposition of x from b in terms of RowA and NulA?
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Linear Algebra Book Recommendations
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Can All Coefficients in a Continued Fraction Be the Same Integer?
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Double check - this is prime, yes?
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Prep for Algebra Comprehensive Exam #1
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Function vs mapping vs transformation
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Determinant Relationship: det(A) and det(-A) for n x n Matrices
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Property of the adjoint operator
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Is the third condition necessary for a vector space to be considered a subspace?
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Solutions of system of nonlinear equations
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The sum over primes involving powers of 10
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Solving Groups: Proving AB is Solvable w/ A Normal in G
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Can You Construct an Infinite Lattice with Each Integer Exactly Once?
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Regarding Orthogonal Transformations
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About invertible and diagonalizable matrices
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Which text? Second course in linear algebra
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A conjecture on Cesaro summation and primes.
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How Do You Solve Norm and Matrix Approximation Problems in Linear Algebra?
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Optimizing Linear Least Squares with Multiple Unknowns: A Partitioned Approach
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Angle preserving linear transformations
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How Do Eigenvalues Relate to Polynomial Roots in Linear Algebra?
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Solving for the Determinent of a Matrix
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Given an algebraic alpha be of degree n over F, show at most. .
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A formula related to multiplicative order
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Counting Integer Solutions to Curves of the Form x^n-c-ky=0
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Proving A = rref(B) with a Matrix S
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Calculating Total Zeros in a Large Factorial: Number Theory Explained
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Show Primitive Roots Cannot be Perfect Cubes Modulo Prime p
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Factoring Polynomials in Z_p: Finding Degree 'd
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Is the Zero Vector Implicit in Vector Subspaces or Must It Be Defined?
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What is the proof of the proposition for non-abelian group of order 27?
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Degree of Extension: n Primes to Q
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Can a Sequence of 1's and 0's Be a Multiple of Any Integer?
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What is the equation to predict the next numbers?
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Finding determinant of Vandermonde matrix
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Does this expression make sense.
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Solving a System of Congruences with A Changing Modulus
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Is There a Quick Formula for Calculating Perfect Numbers?
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Can Non-Homogeneous Linear Systems Have Multiple Solutions?
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Proving Theorem: Column Space of Matrix A is a Subspace of R^m
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Are the kernel and image the same for a matrix and its reduced row echelon form?
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How to determine if a 3x3 matrix is diagonalisable or not?
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What Are Congruent Modulos?
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Can a geometric vector become a covector when referred to a dual basis?
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Why Is the Trace of a Linear Operator Well-Defined?
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What is the Ring Generated by R-Linear Combinations of These Matrices?
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