Linear and Abstract Algebra Forum

Graduate Is This Field Extension Galois?

Graduate Recursive solution of determinants

Graduate Understanding Spivak's "Calculus on Manifolds" - Ken Cohen's Confusion

Graduate Proving Indefiniteness of a Quadratic Form on a Subspace | V -> R

Graduate Number Theory: Proving Statements with Verbal Arguments

Undergrad How can I prove Newton's Sums?

Undergrad Cross Product of Vectors a & b: Why 0?

Graduate Hyperplanes H1 and H2 have dimensions p and q

Graduate Why is a semigroup called a semigroup?

Graduate Investigating a Function which Mimics Prime Numbers

Graduate Subgroup of Sym(n) Isomorphic to S_(n-1) Except n=6

Graduate Is There an Isomorphism Between S(X) and S(Y) Given a Bijection Between X and Y?

Graduate Structure constants of su(2) and so(3)

Graduate Conjunction of Sets: x,y in Rm+n vs Vector z in R(m+n)

Graduate Normal Subgroup Equality: Closure of a Group?

Graduate Diagonalizing a square matrix with degenerate eigenvalues

Undergrad Matrix multiplication of an nxn matrix is the scaling

Graduate Infinite cyclic groups isomorphic to Z

High School Solve Large Numerical Values Without a Calculator

Undergrad Understanding Rotation Matrices for nxn Orders

Graduate Proof of normal matrix criterion

Graduate Vector Spaces over Real and Complex Numbers: A Comparison

Graduate What is the extension of the Unique Factorization Theorem to Gaussian Integers?

Graduate How to evaluate Nonorthogonal basis?

Graduate What is the Role of Formal Constructions in Algebraic Equivalence Classes?

Graduate Is Michael Artin's Algebra Harder Than Spivak's Manifolds?

Undergrad Drawing Protein Helix with Twists and Curves: How to Proceed?

Undergrad Is it possible to rotate circles in 3D using coordinates and normals?

Graduate Simple question on disproving a group isomorphism

Graduate Proving Group Properties of Finite Sets

Graduate Pauli Matrices and Structure Constants

Undergrad What is the significance of the number e?

Undergrad Cross product in matrix determinant form

Graduate Difference between a vector space and a field

Graduate Is Isomorphism of Matrix Groups Always Expressed by Linear Maps?

Graduate Findng a group between two groups

Undergrad Understanding Matrices and Vectors: Operations, Significance, and Applications

Undergrad Eigenvalues & eigenvectors of N x N matrix?

Graduate Does Cholesky Decomposition Change for Complex Matrices?

Graduate Explaining the Riemann Hypothesis and Other Famous Math Problems

Undergrad Basis of Vector Space V: Subset of B = Basis of U?

Graduate Polynomial equations whose coefficients are all matrices (was I shouldnot )

Graduate Quick Question About Tensor Products

High School Where Can I Find Online Lectures for Linear Algebra?

Graduate Fermat Last Theorem: a^n+b^n<c^n

Undergrad Prime Number Formulas: Find the Nth Prime

Graduate How to Compute Eigenvectors for Large Matrices Efficiently?

Graduate Is the Set of Products of Two Ideals Always an Ideal?

Undergrad Constructing Proofs in Mathematics: Where do I Begin?

Graduate Constructing the Generators of SU(8) Group in String Theory

Graduate How Do We Prove \(\forall n\in\mathbb{N}\;\varphi(n)\mid n\) Is False?

Undergrad For lack of a better word, Modifiers.

Undergrad Linearly independent but not orthogonal, how come?

Undergrad Eigenvalues of A: Same Eigenspaces for A^-1, Transpose, A^k

Graduate Can Infinite Sets Still Form Groups Under Closure Conditions?

Undergrad Question regarding multiple steps in linear mapping

Graduate Simple prime/GCD proof question

Graduate How Do You Rotate One Vector to Another and Apply the Same Rotation to a Matrix?

High School Pascal Triangle & Its Applications.

Undergrad Understanding Summation and Latex: A Simple Explanation

• Poll

Graduate Barry Mazur's current BAMS article

Graduate How to diagonalize NxNxNxN matrix

Graduate Solve Cryptography Exercises: Rabbin & RSA Protocols

Undergrad Solving Radicals for A,B,C and D: 2^11-1

Graduate Why not randomness for primes' distribution?

Graduate Can a Finitely Generated Group Contain an Infinitely Generated Subgroup?

Graduate Connection between polynomials and groups

Graduate Dimension of eigenspace, multiplicity of zero of char.pol.

Undergrad Having difficulty with an Ax=b problem and understanding it

Graduate Proving a Subgroup of a Solvable Group is Solvable

Graduate Prime factorization of rationals

Graduate Euler's theorem as primality test?

High School Is it possible to multiply by 'undefined'?

Graduate Riemann Hypothesis: Question on Critical Line

Graduate Is Tensor Product Uniqueness Dependent on the Choice of Linear Functions?

Graduate What Can We Learn from Finite Presentations of Groups?

Graduate What Does It Mean for a Group to Be Generated by Two Subgroups?

Graduate Transforms that Preserve The Dominant Eigenvector?

Graduate Field on R^3 and isomorphism between C and R

High School Ancient Numbers: Expressing Values, Devision & Subtraction

Graduate Eigenvalue kind of nilpotent problem

Graduate Understanding Oiler's Approach to the Zetha Function: A Math Book Review

Undergrad Algebraic inequality subject to some specific constraints.

Undergrad Find the point D such that all the triangles have the same area.

Undergrad Problem with dot product of vectors

Undergrad What is the significance of the structure of numbers?

Undergrad Proving Let A & B be Square Matrices of n x n & AB = 0n

Graduate Proving the Unsolvable: Lagrange's Theorem and 4 Squares

High School Boolean Algebra: What Audio Engineering Majors at UMiami Need to Know

Graduate Units and prime elements in euclidean rings

Graduate Adjoint Multiplicity: A* x A* = (A^2)*?

Graduate Normed space and its double dual

Graduate Why is the trivial ring excluded in the definition of a field?

Graduate Recognizing a product of two 3d rotations (matrices)

Graduate Exploring Bertrand's Postulate: Maximal Prime Gaps and Conjectures

Graduate Symbolic Vector Manipulation Software?

Graduate How Can a Cyclic Group Define a Field Using Only Addition?

High School Learn Linear Algebra Before Calculus?

Undergrad Transforming base vectors in Matrix.

Undergrad What is the formula for finding the determinant of a 10x10 matrix?