Linear and Abstract Algebra Forum

Undergrad Do you learn proofwriting in modern algebra or real analysis?

Graduate Finding Area Under a Helix: A Stumper Problem

Graduate The proof that an odd perfect number does not exist

Graduate Matrix multiplication preserve order Block matrix

Graduate Existence of Roots for Quadratic Forms Modulo Prime Numbers

Graduate Orthogonal Basis in 3d is flipping.

Graduate Why a torsion-free module over an integral domain need not be free

Graduate Proving LCM Formula and GCD for Non-Integers

Graduate Column Space of A'*A: Subset of A'?

Graduate Matrix form - completing the square

Undergrad How Can Analogies Simplify Group, Ring, and Field Concepts?

Graduate Dot/bilinear product in C^n / Orthogonality

Graduate Understanding Transvections:T_W:V->V Tv=v+w

Undergrad When Does a Square Matrix Ensure Unique Solutions?

Undergrad Can C= (pi)d Be Solved with Any Prime Values?

Graduate Difference between algebraic closure in E and algebraic closure of F

Graduate Is Q(√2) isomorphic to Q[X]/(X²-2)?

Undergrad What was the motivation to define what a vector space is?

Graduate Eigenvalues of a symmetric operator

Graduate Why does [E:F] denote both field extension degree and subgroup index?

Graduate Is the determinant a linear operation?

Graduate Counting elements in S_5 conjugacy classes by cycle type

Undergrad If a matrix has nullity 1, what spans its null space?

Graduate Testing optimality via complementary slackness

Graduate Brocard's Problem: No Solution for n! Containing Prime^2, n>7?

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Graduate Find the sum in this given question very interesting and analytical

Graduate Finitely generated modules as free modules

Graduate Transforming association matrix to a functional matrix

Graduate How to Prove Aut(H ⊕ K) ≅ Aut(H) ⊕ Aut(K)?

Graduate When p ≡ 1 mod 4, why does ((p-1)/2)!)² ≡ -1 mod p?

Undergrad Is W a Subspace of R^3 and What is Its Geometry?

Undergrad Determining whether sets of matrices in a vectorspace are linearly independent?

Graduate Solving ai = bijkcjk for c without flattening indices

Graduate Word for one-to-one correspondence between ideals and modules of an algebra

Undergrad Why Is the Transpose of a Matrix Important in Linear Algebra?

Graduate Group representations on tensor basis.

Undergrad Theorem of mutations in a numeral sequence

Graduate Request for introductory book on graph theory

Graduate Proof: n okay blocks burn completely by day n+1 in infinite grid fire

Undergrad [Linear Algebra]- Simultaneous equation. Deriving the general solution.

Graduate Find subgroups of finitely generated abelian groups

Graduate Does the Picard Group Vanish for Semilocal Rings?

Graduate Two Prime Fields Isomorphic to Zp and Zq

Graduate Why Does H ∩ K = {e} Imply G Has Only One Element of Order 3?

Graduate Convex set for similarity constraint

Graduate Formulation of a linear programming model

Graduate Calculating angles between matrices

Graduate Sum of squares of prime factors

Graduate Derived Subgroup (In particular Q8)

Undergrad Formula for multiplication of trinomials

Graduate Linear Transformation to Block-wise Stack Matrix

Undergrad How to solve for matrix V ? A = V*S*V'

Undergrad Hyperplane equation through point with normal vector in R4

Graduate About Vector fields and vector valued functions

Graduate How can the Cauchy-Schwarz inequality be applied to L^2 functions in a book?

Graduate Does the Chain Rule Apply to Derivatives of Inner Products?

Graduate Convolution and a specific function

Undergrad Solve Linear Algebra Matrix Equation

Graduate Explicit construction of SO(n)

Graduate Brocard's problem: why my approach excludes 4, 5, 7

Undergrad Setting up equations for investment portfolio allocation

Graduate Physical meaning of Eigenvalues/vectors/functions

Undergrad Finding k for infinitely many solutions in a 2×2 system

Undergrad Why does the dot product formula axbx + ayby + azbz = ab*cosΘ work in 3D?

Graduate Rank of Matrix A with Kronecker Symbol and Sum Condition

Graduate What Engaging Real-Life Applications Can Make Abstract Vector Spaces Exciting?

Undergrad Proposed proof of FLT for odd exponents using elementary methods

Graduate What is the Visual Prime Pattern Based on Trig and Harmonics?

High School Where Did the Binomial Theorem Originate?

Undergrad Complex Numbers in Linear Algebra

Graduate Effect on eigenvalues of multiplying by a diagonal matrix

Graduate Why are adjoint operators important in vector and Hilbert spaces?

Graduate Odd prime triples where p²+1≡0 (mod q), q²+1≡0 (mod r), r²+1≡0 (mod p)

Graduate New Sieving Method, Goldbach's Conjecture

Undergrad Divisibility question; consecutive numbers

Undergrad Checking weather any positive number is zero or not

High School Why do we need to normalize vectors for?Is it just to cut down on

Graduate Structure theorem for abelian groups

Undergrad Using a matrix to select specific elements from another matrix

Undergrad Oriented angle between vectors

Graduate Are the number of operations countable or uncountable?

Undergrad Map rotated rectangle coordinates to axis-aligned rectangle

Undergrad Find values for k in a system of equations

Graduate Infinitesimal volume element in different coordinate system

Graduate Change of coordinates for functions

Graduate Therefore, (mn)! is divisible by m!(n!)^m.

Graduate Computation of Continued Fractions of irrational numbers

Graduate Why an odd perfect number, if exists, is not divisble by 3?

Undergrad Linear maps between finite dimensional spaces

Graduate Find a solution for a Pell's equation

Graduate Complementation=orthocomplementation? (Distributive lattices)

Graduate What's the motivation for coset and quotient structure?

Graduate Diagonalization of symmetric bilinear function

Graduate Rearranging redshift formula for v

Graduate Extending automorphism groups to inner automorphism groups.

Graduate Can this transformation matrix between spherical and Cartesian vectors be factored?

Graduate Question in Proof of second order condition with linear constraints

Undergrad Sum of first n Fibonacci numbers with respect to n?

Graduate What Is the Arithmetic Gamma Function \(\gamma_{m}(n)\)?

Graduate Are Order 1 Alternating Tensors Different from Normal Tensors?