Linear and Abstract Algebra Forum

Graduate Group Homomorphism Formula Isomorphism for Integer Sets

Graduate What is a Possible Algebraic Proof of Case 1 of Fermat's Last Theorem?

Graduate If automorphisms of ℂ fixing K permute a finite set X, is K(X) Galois over K?

Graduate Recursive solution of determinants

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

Graduate If {v|q(v) ≥ 0} is a subspace, prove q is indefinite

Graduate Number Theory: Proving Statements with Verbal Arguments

Undergrad How can I prove Newton's Sums?

Undergrad Why is the cross product of <1,-1,0> and <-1,1,0> zero?

Graduate Hyperplanes H1 and H2 have dimensions p and q

Graduate Why is a semigroup called a semigroup?

Graduate Function f(n) = n² - (n-1)² and its near-match to primes

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 Can C(a,b) be a vector space over R if C contains an isomorphic copy of R?

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 Proving the additive groups Z and Q are not isomorphic

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 Finding eigenvalues and eigenvectors of an N×N matrix

Graduate Does Cholesky Decomposition Change for Complex Matrices?

Graduate Why use analytic continuation for the Riemann hypothesis

Undergrad Can a subset of a basis for V be a basis for a subspace U?

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

Graduate How does an operator act on a tensor product of states?

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

Graduate Fermat's Last Theorem proof using base n digits

Undergrad Is there a formula that produces the nth prime?

Graduate Computing eigenvectors from known eigenvalues for large matrices

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 Rotating a vector to another vector and applying the same rotation to a matrix

High School Origin of Pascal's triangle and applications beyond binomial expansion

Undergrad Understanding Summation and Latex: A Simple Explanation

• Poll

Graduate Barry Mazur's current BAMS article

Graduate How to diagonalize NxNxNxN matrix

Graduate Rabin protocol encryption with p=31, q=51 and RSA signature forgery

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 Degree 2 polynomials and O(2) line bundles over CP^2

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 How did ancient peoples express fractions, division and 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 If AB = 0 for square matrices, must det(A) and det(B) both be zero?

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 Is A* × A* = (A²)* for adjoints of matrices?

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 Bertrand's postulate and maximum prime gaps

Graduate Symbolic Vector Manipulation Software?

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

High School Learn Linear Algebra Before Calculus?