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 Complicated definitions of linear independence
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Undergrad Vector Geometry and Vector Spaces
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Graduate Revisiting Andrew Wiles' Proof of Fermat's Last Theorem: A Critical Analysis
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High School Checking for Prime Numbers: A Quick Guide
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Graduate Can we find the value of log(p) using the Chebyshev function?
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Graduate Can Column Deletion Create a New Linear Code?
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Graduate Finding units in polynomial quotient rings
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Undergrad Congruence Question: Proving m=n (mod p-1)
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Graduate A question on Hilbert space theory
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Graduate Is A Required to Have Orthonormal Basis?
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Graduate Pi in Base 16 - special formula
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Graduate What Are Free Groups, Free Products, and Isomorphisms?
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Graduate What Makes Freely Indecomposable Groups Essential in Mathematics?
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Undergrad How to Prove that (Z,+) is a Group?
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Undergrad Inner products and orthogonal basis
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Graduate Algorithms for quantifying intersections of subspaces
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Graduate Is x^2/y^2 an Ideal in the Ring F[x, y]?
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High School Sierpinski Spiral: An Intriguing Pattern of Prime Numbers
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Graduate Can the Poincare Conjecture Simplify 3D Objects for Mathematical Calculations?
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High School How to Find the Equation of a Parabola from Three Points?
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Undergrad How is R4 space represented geometrically?
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Undergrad Is it legitimate to treat matrices this way?
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Graduate Primorial: asymptotics and bounds
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Undergrad Solving Upper Congruences: Step-by-Step Guide for x^{n}+a=mod(b)
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Graduate Tangent Vector Spaces: Clarifying Dimension and Interpretation
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Graduate What Are Codomains, Morphisms, and Transfinite Numbers in Mathematics?
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Graduate Convergence of \psi(x)/x and \pi(x)/Li(x) to 1: How Fast?
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Undergrad Forming a Basis in R^3 - Explain the Correct Solution
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Graduate Show Automorphism Group Generated by s and t for \mathbb{Z} Graph
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Undergrad Find all vectors in R^3 that are perpendicular to [1; 3; -1]
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Graduate Basis of set of skew symmetric nxn matrices
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Undergrad Find Polynomial of Degree <2 to Satisfy (1, p), (2, q), (3, r)
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Undergrad Proving gcd(rs , r + s)= 1: I'm in Over My Head!
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Graduate Understanding Abstract Algebra to Groups, Modules, and Representations
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Undergrad Birthday Minimum to cover all 365 days
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Graduate What is the direct limit for a nested family of subobjects?
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Graduate Understanding the Adjoint of a Linear Transformation on an Inner Product Space
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Undergrad Is the Trace Method the Key to Proving Ab-ba=i Has No Solution?
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High School Why are primes important in mathematics?
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Graduate Can the commutator subgroup of a free group have infinite index?
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Graduate The Formula for K-th Twin Prime - Is There One?
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Undergrad Vague question about polar coordinate basis
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Graduate Simple question regarding formulae for power series
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Undergrad How do you explain x+y+z=5 is a plane?
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Graduate Understanding the Integers Modulo n Groups in Abstract Algebra
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Undergrad Divisibility of n by 7: Elementary Proof
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Undergrad Parameter Within A Linear Equation Conjecture
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Graduate Why Does the von Mangoldt Formula Exhibit Discontinuities at Powers of Primes?
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Undergrad Valid Methods for Proving Statements: Assumption and Contradiction
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Graduate Equivalent sets in different vector spaces?
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Graduate Is There a Way to Solve the Integral Equation for Pi(x) Numerically?
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Undergrad What is the Proper Notation for Inductive Proofs with Multiple Variables?
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Graduate Question Regarding Goldbach's Conjecture
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Undergrad Something i didn't know about polynomials
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Graduate Is the Proof for the Nearest Point in a Cone Valid?
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Graduate Can We Conjecture Asymptotic Behavior for Prime Number Series Beyond PNT?
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Graduate Moebius Transform Sum: Understanding the mu(x) Function for Prime Numbers
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Graduate Please double-check me (easy, important?)
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Undergrad A Clarification on the Summation symbol
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Undergrad Interpretation of matrix multiplication?
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Undergrad Matrices - finding a general solution.
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Graduate Is the Lim Sup of the Difference of Primes Equal to 1?
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Graduate Pocklington's Criterion: A Closer Look
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Graduate Finding small primes (fast determanistic tests)
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Undergrad Prime Number Gaps - What's the Largest Integer Difference?
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Undergrad Solution to the general congruence
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Undergrad Proving geometric theorems by vector method
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Undergrad How to Solve 32n + 3 = 0 mod p When p is Prime?
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Graduate The product between quaternion
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Undergrad Does ab ≡ 0 (mod m) imply a|m or b|m?
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Undergrad Any matrix as product of elementary matrices
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Graduate Can Trigonometric Series be Evaluated Using Euler-Maclaurin Sum Formula?
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Graduate Proving F^\int as an Infinite Vector Space
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Graduate Understanding the Hardy-Littlewood Circle Method: An Explanation and Example
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Graduate Does the Laplace Transform Have an Orthonormal Basis in Hilbert Space?
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High School Solving for a: A Constant Value Equation
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Undergrad Why is the Triangle Inequality |X+Y|<|X|+|Y| True?
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Graduate An elementary problem equivalent to the Riemann hypothesis
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Undergrad Vector rotation (possibly Euler angles)
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High School Help! How Many Variations of a 4 Digit Number Exist?
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Graduate Finding Matrix A from Dynamics x'=Ax
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Undergrad Example of a Nonlinear Operator | Math Definition
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Graduate Proving Theorem by Frobenius: The Number of Subgroups of Order p^k in a Group G
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Graduate Determinant of a matrix over the integers mod n
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Graduate Associating Abstract Spaces with Real Intervals: A Puzzling Continuity
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Undergrad Basics of multiplication of matrices
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Undergrad Need help please with combinding two equations
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Graduate What is the explicit formula for h(n)?
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Graduate What is an Algebra? Formal Requirements Explained
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Graduate Is This Proof of the Prime Number Theorem Too Simple?
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Graduate Which Unitary Matrices Keep A - UBU† Positive Definite?
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Undergrad How Many Elements Can the Set of Squares X Have?
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Graduate How Does Clifford Algebra Apply to Quantum Physics?
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Graduate How Can the Quotient Group G/Go Act Effectively on X?
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Graduate Is 2^n a Divisor of Binomial Coefficient B(2^n, m)?
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Graduate Cayley-Hamilton Theorem: A Simple, Natural Argument
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Graduate Does Erdos' Unresolved Conjecture Involve n-term Arithmetic Progressions?
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Graduate Optimizing Number Isolation: Equal vs. Unequal Bisection Strategies
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Graduate Explaining Quotient Topology: Step-by-Step with Examples
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Graduate Proving KerD^2=KerD and ImD=ImD^2 with Linear Transformations
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