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.
Undergrad How can I prove Newton's Sums?
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Undergrad Cross Product of Vectors a & b: Why 0?
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Graduate Hyperplanes H1 and H2 have dimensions p and q
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Graduate Why is a semigroup called a semigroup?
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Graduate Investigating a Function which Mimics Prime Numbers
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Graduate Subgroup of Sym(n) Isomorphic to S_(n-1) Except n=6
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Graduate Is There an Isomorphism Between S(X) and S(Y) Given a Bijection Between X and Y?
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Graduate Structure constants of su(2) and so(3)
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Graduate Conjunction of Sets: x,y in Rm+n vs Vector z in R(m+n)
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Graduate Normal Subgroup Equality: Closure of a Group?
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Graduate Diagonalizing a square matrix with degenerate eigenvalues
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Undergrad Matrix multiplication of an nxn matrix is the scaling
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Graduate Infinite cyclic groups isomorphic to Z
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High School Solve Large Numerical Values Without a Calculator
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Undergrad Understanding Rotation Matrices for nxn Orders
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Graduate Proof of normal matrix criterion
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Graduate Vector Spaces over Real and Complex Numbers: A Comparison
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Graduate What is the extension of the Unique Factorization Theorem to Gaussian Integers?
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Graduate How to evaluate Nonorthogonal basis?
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Graduate What is the Role of Formal Constructions in Algebraic Equivalence Classes?
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Graduate Is Michael Artin's Algebra Harder Than Spivak's Manifolds?
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Undergrad Drawing Protein Helix with Twists and Curves: How to Proceed?
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Undergrad Is it possible to rotate circles in 3D using coordinates and normals?
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Graduate Simple question on disproving a group isomorphism
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Graduate Proving Group Properties of Finite Sets
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Graduate Pauli Matrices and Structure Constants
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Undergrad What is the significance of the number e?
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Undergrad Cross product in matrix determinant form
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Graduate Difference between a vector space and a field
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Graduate Is Isomorphism of Matrix Groups Always Expressed by Linear Maps?
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Graduate Findng a group between two groups
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Undergrad Understanding Matrices and Vectors: Operations, Significance, and Applications
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Undergrad Eigenvalues & eigenvectors of N x N matrix?
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Graduate Does Cholesky Decomposition Change for Complex Matrices?
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Graduate Explaining the Riemann Hypothesis and Other Famous Math Problems
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Undergrad Basis of Vector Space V: Subset of B = Basis of U?
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Graduate Polynomial equations whose coefficients are all matrices (was I shouldnot )
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Graduate Quick Question About Tensor Products
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High School Where Can I Find Online Lectures for Linear Algebra?
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Graduate Fermat Last Theorem: a^n+b^n<c^n
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Undergrad Prime Number Formulas: Find the Nth Prime
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Graduate How to Compute Eigenvectors for Large Matrices Efficiently?
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Graduate Is the Set of Products of Two Ideals Always an Ideal?
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Undergrad Constructing Proofs in Mathematics: Where do I Begin?
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Graduate Constructing the Generators of SU(8) Group in String Theory
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Graduate How Do We Prove \(\forall n\in\mathbb{N}\;\varphi(n)\mid n\) Is False?
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Undergrad For lack of a better word, Modifiers.
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Undergrad Linearly independent but not orthogonal, how come?
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Undergrad Eigenvalues of A: Same Eigenspaces for A^-1, Transpose, A^k
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Graduate Can Infinite Sets Still Form Groups Under Closure Conditions?
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Undergrad Question regarding multiple steps in linear mapping
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Graduate Simple prime/GCD proof question
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Graduate How Do You Rotate One Vector to Another and Apply the Same Rotation to a Matrix?
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High School Pascal Triangle & Its Applications.
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Undergrad Understanding Summation and Latex: A Simple Explanation
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Graduate Barry Mazur's current BAMS article
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Graduate How to diagonalize NxNxNxN matrix
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Graduate Solve Cryptography Exercises: Rabbin & RSA Protocols
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Undergrad Solving Radicals for A,B,C and D: 2^11-1
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Graduate Why not randomness for primes' distribution?
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Graduate Can a Finitely Generated Group Contain an Infinitely Generated Subgroup?
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Graduate Connection between polynomials and groups
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Graduate Dimension of eigenspace, multiplicity of zero of char.pol.
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Undergrad Having difficulty with an Ax=b problem and understanding it
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Graduate Proving a Subgroup of a Solvable Group is Solvable
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Graduate Prime factorization of rationals
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Graduate Euler's theorem as primality test?
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High School Is it possible to multiply by 'undefined'?
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Graduate Riemann Hypothesis: Question on Critical Line
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Graduate Is Tensor Product Uniqueness Dependent on the Choice of Linear Functions?
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Graduate What Can We Learn from Finite Presentations of Groups?
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Graduate What Does It Mean for a Group to Be Generated by Two Subgroups?
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Graduate Transforms that Preserve The Dominant Eigenvector?
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Graduate Field on R^3 and isomorphism between C and R
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High School Ancient Numbers: Expressing Values, Devision & Subtraction
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Graduate Eigenvalue kind of nilpotent problem
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Graduate Understanding Oiler's Approach to the Zetha Function: A Math Book Review
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Undergrad Algebraic inequality subject to some specific constraints.
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Undergrad Find the point D such that all the triangles have the same area.
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Undergrad Problem with dot product of vectors
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Undergrad What is the significance of the structure of numbers?
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Undergrad Proving Let A & B be Square Matrices of n x n & AB = 0n
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Graduate Proving the Unsolvable: Lagrange's Theorem and 4 Squares
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High School Boolean Algebra: What Audio Engineering Majors at UMiami Need to Know
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Graduate Units and prime elements in euclidean rings
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Graduate Adjoint Multiplicity: A* x A* = (A^2)*?
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Graduate Normed space and its double dual
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Graduate Why is the trivial ring excluded in the definition of a field?
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Graduate Recognizing a product of two 3d rotations (matrices)
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Graduate Exploring Bertrand's Postulate: Maximal Prime Gaps and Conjectures
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Graduate Symbolic Vector Manipulation Software?
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Graduate How Can a Cyclic Group Define a Field Using Only Addition?
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High School Learn Linear Algebra Before Calculus?
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Undergrad Transforming base vectors in Matrix.
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Undergrad What is the formula for finding the determinant of a 10x10 matrix?
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Graduate Is My Integer Factorization Algorithm Flawed?
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Graduate What Is the Tensor Product of Vector Spaces?
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Graduate Proving the 2:1 Ratio of a Triangle's Medians at the Centroid Using Vectors
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Undergrad Casey's thread of annoying Linear Algebra questions
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Graduate Verifying a Finite Non-Abelian Group with Set of 2x2 Matrices Modulo p
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