Linear and Abstract Algebra Forum

Graduate When Does a Map Induce an Isomorphism or Homomorphism?

Graduate Geometric algebra solution for intersection of planes in RN

Undergrad What is a Vector: Sadri Hassani's Maths Physics Reading

Graduate I was searching for the definition of localization of a ring .

Undergrad Proving Subsets: A Venn Diagram Approach

Graduate How to construct a character table from the group and its classes

Graduate Is M a Subspace of V if S and T are Linear Maps from V onto W?

Graduate What's the difference between abstract algebra and number theory?

Graduate Given S, T, prove that ST and TS have the same eigenvalues.

Graduate Using Quadratic formula in other fields

Undergrad How to find eigenvalues/eigenvectors

Undergrad Can matrices be used to solve systems with different degree variables?

Graduate Is there a proof for the new Mersenne numbers conjecture?

Graduate Regarding Diagonalization of Matrix by Spectral Theorem

Undergrad Subspaces of R2 and R3: Understanding Dimensions of Real Vector Spaces

Graduate Conjecture re form x^2 + Mxy + y^2

High School Why use cosine not sine for the scalar product of vectors

Graduate Why is H a normal subgroup of its normalizer?

High School : simple problem 3x = 1 (mod 16), find all possible values of x mod 16

Graduate Parallel discrete logs (continues: modular arithmetic)

Undergrad What is the use of the convolution theorem in multiplying large numbers?

Graduate How to Prove the Eigenvalue Property of CrA(x)?

Graduate Understanding Composition of Point Symmetry Generators in Lie Algebras

Graduate Why is d(x^TCx) equal to x^T(C+C^T)dx?

Graduate Is Symmetry Crucial in Understanding Group Theory?

High School Simple problem 3x = 1 (mod 16), find all possible values of x mod 16

Graduate Difference between self-adjoint and Hermitian operators

Undergrad Solving 2^k ≡ n mod p with Modular Arithmetic

Graduate Can you define +0 and -0 as the same element in integers?

Graduate Is 0 Considered a Prime Element in an Integral Domain?

Graduate How Does the Cross Product Work in Geometric Algebra?

Graduate Generation of isomorphic fields by separate algebraic elements

Graduate Equivalence of Irreducibility Tests for Polynomials Under Variable Substitution

High School What is number theory?

Graduate Matrix Binomials: Struggling to Interpret Question

Graduate Proving A = I + uv^T is invertible when u^T v ≠ -1

Graduate How can we accurately compute the matrix exponential?

Graduate Conversion from Cartesian to toroidal coordinates

Undergrad Showing a mapping is onto and/or one to one

Graduate Physics and Mathematics - what are the unsolved problems?

Undergrad Do vectors that span a space have to be linearly independent?

Graduate Maximal ideal question, + invertibility

Graduate Conjugate and Inverse Quaternions

Undergrad How do you determine the intersection of two vector subspaces?

Graduate Reference for commutative algebra of graded rings and modules

Graduate Is Idempotent Equivalence in Rings Transitive?

Undergrad Proving Singular Matrix A Has Nonzero Matrix B: Linear Algebra Problem

High School What is number theory?

Graduate Good Algebra Textbook: Basic to Graduate Level

Graduate Asymptotic expansion for Mertens function

Undergrad Why divide a vector by its norm to get a unit vector

Undergrad Why do determinant expansions by different rows give the same result?

Undergrad Books and websites for learning category theory from abstract algebra

Graduate Help With Proving a is Zero Divisor Mod n iff gcd(a,n)>1

Undergrad Making a Set a Basis: Is V Spanned?

Undergrad What is the value of ||\vec{x}||How to Approach a Vector Projection Problem?

Undergrad Infinity subtracted from infinity is undefined.

Graduate Linear Operators: False for Non-Finite Dimensional Vector Spaces

Graduate General form of all matrices in SO(3)

Undergrad What is the Solution to Finding a Set of n+1 Integers from 2n?

Graduate Irreducibility in multiple dimensions

Graduate Proving N(H) is a Subgroup of G to Normalizers in Group Theory

Graduate Proving a group is commutative if ax³a = x for all x

Graduate Q1: Does A and its transpose have the same eigenspace?

Graduate Generating Rings with Ideals: The Possibilities and Implications

Undergrad Why Is Matrix Multiplication Defined the Way It Is?

Graduate Proving a Dimensional Inequality for Null Spaces of Linear Transformations

Undergrad How Can We Represent and Sum the Rows of This Manipulated Pascal's Triangle?

Graduate Conjecture about Dirichlet series.

Graduate Proof of Infinite Cyclic Group Isomorphism to Z

Graduate How Do Quotient Spaces Relate to Periodic Boundary Conditions in Mathematics?

Undergrad Can isomorophisms be really random?

High School How do you check if a vector is constant?

Graduate Fast algorithm to test if a number is a semiprime

Graduate General Form of 3x3 unitary matrix

Undergrad Can linear least squares be used for inverse function approximation?

Graduate What is the correct method for transforming a matrix to a new basis?

Undergrad Can I Use Linear Algebra to Prove the Equation det(AB) = det(A) det(B)?

Undergrad Distributive Properties of the Determinate

Undergrad Why Does a Subset of a Vector Space Need the Zero Vector to Be a Subspace?

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Undergrad Why is linear algebra useful for quantum mechanics and engineering?

Graduate Proving Vector Space of F[x]/(g(x)) with Degree n

Graduate Is 1 considered the zero vector in this scenario?

Undergrad Solving Linear Algebra Problem: Eliminating p_2 with Diagonal D

High School Why Do Solutions Sometimes Differ from Absolute Values?

Undergrad Linear Algebra: need suggestions for learning

Graduate Is the Real Number Set Countable with a Special Function?

High School Zero product property for integers

Undergrad MIT OpenCourseWare Linear Algebra

Graduate What is the role of the Axiom of Choice in algebraic structures?

Graduate Constructing a Stiffness Matrix for Research on Rat Scoliosis

Graduate Inner products, operators, equality

Graduate Proving 0v=0 using only the 10 Axioms

Graduate A quesion about Field of quotients

Graduate Irreducible reps of maximal tori

Undergrad 196-Algorithm (palindromic numbers)

Undergrad Understanding Coset Representation and its Role in Group Theory

Graduate Digit cycle length in base k for 1/b and 1/b²

Graduate A group G has exactly 8 elements or order 3