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.
Graduate Laplace transform as rotation. In what space?
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Graduate Solve the Euler Totient Puzzle: Find k such that phi(k+n)=0 mod 79
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Undergrad Are These Linear Algebra Statements True or False?
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Graduate Number system with an irrational base
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Undergrad What Is the Difference Between a Transition Matrix and a Jacobian?
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Graduate Is \( u^p \) a root of \( f(x) \) over \( GF(p) \) if \( u \) is a root?
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Graduate Linear Algebra Preliminaries in Finite Reflection Groups
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Undergrad Is Dummit & Foote's Abstract Algebra the Ultimate Guide for Mathematicians?
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Graduate Maximizing Distance in the Travelling Salesman Problem: Is it Possible?
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Graduate Maximizing Sum of Finite Sets: Solving Simple Arithmetic Question
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Graduate Representation Theory of Finite Groups - CH 18 Dummit and Foote
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Graduate Is Number Line Density Constant or Variable?
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Graduate Negative diagonal elements in Incomplete Cholesky Decompostion
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Graduate Logarithmic Integral and Primes
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Graduate The Orthonormality of real valued Functions
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Graduate Are any two infinite-dim. V.Spaces isomorphic?
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Graduate Product of two subgroups and intersection with p-subgroup
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Undergrad Minimum number of elements to in one set to sum to all in another.
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Graduate Proof of the Order Divisibility Property
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Graduate Can Dependent Variables Defy E(X)E(Y) = E(XY) in Probability?
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MHB Number of elements in a ring with identity.
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MHB Is 1_R Equal to 0_R in a Ring? Understanding the One-Element Ring Concept
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Graduate A general condition on polynomial roots
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Graduate Order of error for rational approximation of irrationals
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Graduate How Can You Find the Number of Conjugation Permutations in a Group?
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Graduate Reduced Grobner basis form a regular sequence?
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Graduate A question regarding arithmetic progressions
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Graduate Infinitely many solutions ? n*phi(n)=k
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High School Proofs and puzzles for beginning mathematicians
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Graduate Primality Criteria for Wagstaff numbers
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MHB Proving Determinant: u,v in R^n | Det(I + uv^T) = 1 + v^Tu
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Graduate Is V a vector space? and Show that W is not a subspace
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Graduate Would someone tell me about the importance of number theory?
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Undergrad Proving A = B in Linear Algebra using (A-B)D = 0 and Inverses
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MHB System of Equations: Advice Needed - Rank(A|B) Explained
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Undergrad Which Book Should I Start With for Learning Number Theory?
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Graduate Number Theory Proof Help: Show p-1 & p^(e-1)|∅(n)
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MHB Proving Irreducibility of x^4 −7 Using Polynomial Theorems
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Undergrad Associative Property of Convolution?
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MHB Which Coefficient Ring Makes f=x^2+1 Irreducible?
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Undergrad Similar to Collatz Problem (Please Read)
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Graduate Proving the Infinitude of Primes: Euler's Proof and Its Limitations
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Graduate Graphical modeling of a dynamic system Help
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MHB Ring Theory: Proving Subrings and Ring Generation
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Undergrad How were these linear motion equations derived?
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Graduate Is the concept of prime numbers biased by their factorization definitions?
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MHB Which Permutations Should Be Excluded in Leibniz Formula for Determinant?
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Graduate Problem with minimizing the matrix norm
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Graduate Is i^i equal to e^-(pi/2 + 2npi)?
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Undergrad Can't understand technique for computing transformation matrix
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Undergrad What is the Proof of the Size of Divisors for Integers?
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Graduate Understand Affine Subsets & Mappings: Research Project for Undergrads
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Graduate Squared norms: difference or notational convenience
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MHB Proving Finite Domain Identity Element: Tips & Tricks
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Undergrad How can the endless square root problem be solved?
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Undergrad What is the Correct Way to Find Eigenvalues and Eigenvectors of a Matrix?
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MHB Prove Ring with Identity on Set S with One Element x
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Undergrad Gram-Schmidt Method for orthogonal basis
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Graduate The approach to project out certain vector
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Graduate Symmetry Groups Algebras Commutators Conserved Quantities
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Is (a,b) the GCD of a and b in a Divisibility Proof?
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Graduate Algebra Isomorphism: Complex Numbers C over Reals R
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Graduate Determine if a matrix if positive definite
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Graduate Some Flat Equation Prime Number Aproximations
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Graduate How Do You Calculate the Dimension of F(u,v) Over F(u)?
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Graduate Nilpotent operator or not given characteristic polynomial?
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Graduate A prime limit that seems to approach a constant
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Graduate Can You Find the Prime Factors of m Using Euler's Totient Function?
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High School How to Add Base-Six Numbers and Express the Sum 3546 + 4326 as a Base-Six Number
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Graduate Linear or conjugate operators and automorphisms on the lattice of subspaces
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Graduate New Test for Primes form 8n =/- 3
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Graduate Consecutive Numbers in the Fibbonacci Sequence and Sums of Two Squares
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Graduate Do Quasiperfect Numbers Really Exist?
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Graduate How to factor a polynomial modulo p?
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Graduate Product of a third- and second-order tensor.
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High School Easy algorithms to produce big numbers
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Undergrad Linear Algebra. Proving differentiable functions are a vector space.
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Graduate An error related with matrix exponential
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Graduate Qube root of 2, zero of second order polynomial
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Graduate Verifying Subring: Check Closure with ℂ & \alpha
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Graduate Fibonacci sequence- advanced realations
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Graduate Solving Exercise 12 from Hoffman & Kunze's Linear Algebra
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Undergrad Can Extending Vectors from ℝm to ℝm+1 Alter Their Representation?
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High School Simple Polynomial Factorization
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MHB Solve x^6=7 in F19: 6 Solutions
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Graduate Some questions about solving eigenproblems to do modal analysis
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MHB Subgroups of a Cyclic Group G of Order 12
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MHB Which statement about eigenvalues and eigenvectors is not true?
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Graduate What are Mirror Planes and Distinct Symmetry Transformations in Mathematics?
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Graduate Orthogonal Transformations _ Benson and Grove on Finite Reflection Groups
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Graduate Cosets and Vector Spaces Question
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Graduate Finite abelian group into sequence of subgroups
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Graduate Why Do 'Forbidden Zones' Exist in Goldbach Partitions?
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Graduate Erdos conjecture on arithmetic progression
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Graduate Gauss-Seidl, Gauss-Southwell, Jacobi
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Undergrad Why is this theorem on coplanar vectors true (LINEAR ALGEBRA)?
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Undergrad Why does the half of the absolute value of a matrix formed with its coordinates give
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Undergrad Confusion about linear equations
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Graduate Is the direct sum of cyclic p-groups a cyclic group?
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Graduate Finiteness of a converging random number series
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