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.
X^3=x => R is a commutative ring
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Is this number algebraic or transcendental?
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Norm Satisfying the Parallelogram Law
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Restriction of SO(N) to 2 dim subspaces
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Are there any books with solved exercises for studying Lie Algebras on your own?
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Solvable Group: Need Help Understanding Fraleigh's Exercise
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Are Principal Ideals of Associates Equal?
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Rotation of coordinate system mistake or paradox?
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Subgroup of given order of an Abelian group
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Finding the Smallest Possible Value of N in a Simple Number Theory Problem
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Decomposing Motions: Solving the T:R(4) to R(4) Question
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Approximation of functions by Gaussians
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Why Are Coefficients of x Plotted on the y-Axis in Linear Combinations?
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Conjecture: Solving 32n^2 + 3n = 0 mod P for odd P
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Model theory, category theory and universal algebra
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Distinct Eigenvalues: Can Zero be an Eigenvalue?
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Understanding in abstract algebra
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Can You Solve This Complex Integer Equation System?
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Criterion for Irreducibility of a polynomial in several variables?
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Where Can I Find a Purely Algebraic Proof of the Fundamental Theorem of Algebra?
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Equivalent bases for Vector Spaces over Complexes.
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Show that for a symmetric or normal matrix
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Cross product invariant under SO(3)-matrices?
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Isomorphism as an Equivalence Relation on Sets: A Proof
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Idempotents: What Are They & Similarity of Matrices
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Multi-objective recursive least squares
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Understanding Homomorphisms: Onto vs Into in Group Theory
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Is M_n(K) isomorphic to K \otimes_F M_n(F) as F-algebras?
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Linear transformations with functions
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Galois Extension of Q isomorphic to Z/3Z
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Groups of permutations and cyclic groups
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Relationship between determinant and trace
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Why doesnt Bertrand's postulate imply Legendre's conjecture?
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Please help me understand how to do this linear algebra proof
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Understanding Shankar's Principles of QM: Changing Basis of Operators
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Interesting method for prime discovery?
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Finding the Inv. of a rank deficient Matrix
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Putting an equation in quadratic form
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Finite Subset Max in Set S: Proof
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Some help with a number theory problem
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Geometric Constructible Numbers
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A Determinant's relation to permutations
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N^3 mod t covers all remainders?
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Vector product VS dot product in matrix
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Proving Properties of an Ordered Ring: R+ & R
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Solving a system of linear equations with computer
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Determinant of a non-square matrix?
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Prove Symmetric Matrixes Thm: A=0 or Skew Symmetric
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Linear independence of orthogonal and orthonormal sets?
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What Are the Mysteries of Boolean Algebra Beyond Binary Values?
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Eigenvalues and eigenvectors of a 3x3 matrix (principal stresses)[programming]
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Finiteness of a non-commutative ring
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Gcd(a,b,c)lcm(a,b,c)=abc => a,b,c relatively prime in pairs
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Basis for the indicated subspace
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Finding All u in R for Field Extension Q(√2,³ √5) and Proving Equality
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How Can We Understand Division by Zero Through Logical Reasoning?
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Diagonal Linear Operator T in L(H): Examples
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Solving Congruences: Proving a=b
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Why Don't All Inner Products Define the Same Vector Norm?
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What is the relationship between range and nullspace for projections?
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Is a Linear Map Always Diagonalizable in This Context?
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Having difficulty understanding what the Range of a linear transformation is.
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How do I find all cosets in GL(n) for the set H={A in GL(n) | det(A) = 1}?
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Is REQ a maximal left ideal with invertible matrix Q?
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Understanding Null Space: A Layman's Explanation
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Tensor Algebra Examples for Mechanical Engineers: A Resource Guide
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Why Multiples of Three are Divisible by 3
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How Can a Symmetric Matrix Have 2 Eigenvectors with Only 1 Eigenvalue?
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Dihedral group D5 - Symmetry of a Pentagon - Conjugacy classes
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Can induction be extended to the rationals?
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What is the Proof for the Jacobi Symbol Property (ii)?
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How to prove that if x^n*y=y*x^n, then x and y commute
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Are proofs of impossibility always flawed and limited?
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Is There a New Formula for Prime Numbers?
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How does Cantor's concept of infinity differ from the extended real numbers?
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Euler's Thirty-six officers problem?
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If a 3 x 4 matrix can have independent columns?
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Which algebra vectors satisfy this (Trying to derive Schrödinger)
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Is this matrix diagonalizable?
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Are there any primes of the form 10^k + 1 above 101?
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Solution to time offset vector equation?
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Calculating Volume of a Parallelepiped in R^n
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Mapping Elements in Quotient Group G/N to Isomorphism f:G/N--H
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Sequence of definite positive matrices
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Converting a Vector Equation of a Plane to a Scalar Equation
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How Can You Measure the Distance Between Two Subspaces in Higher Dimensions?
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How Do Subspaces and Orthogonality Relate in Linear Algebra?
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Prove that if A is upper triangular and B is the matrix
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Polynomials in Zn[x]: Degree & n^2
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Method for rotating data points in 3 dimensions
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Prove Wilson's theorem by Lagrange's theorem
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How to solve two equations involving complex variables?
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Reversing Logarithmic Integral Function
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Find Remainder with Fermat's Theorem
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Can Real Matrices Be Transformed into Complex Matrices Through Similarity?
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Is C Diagonalizable Given Its Eigenvalue Multiplicity?
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Solving Equation from "Belt Problem": Find Alpha
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What is the point in calculating orthonormal bases for R3
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What are some recommended resources for self-studying random matrix theory?
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Most challenging problem from I. N. Herstein's Algebra Book
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