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.
How Can You Prove This Number Theory Function?
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R3: U & Uperpendicular Vector Logic
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Definition of Orthogonal Matrix: Case 1 or 2?
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Decrypting RSA: Using d_K, d_p, d_q, M_p, M_q and x_p,x_q to Prove y^d=x mod n
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Can a matrix A be decomposed if it doesn't have n distinct eigenvalues?
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Multiple of prime p + multiple of (integer<p) = 1 proof?
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Theoretical linear algebra final in 14 hours
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Proving the Equivalence of Solving Equations and Finding Functions
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Prime number dividing fractions.
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Dimension of a subspace of polynomials with certain coefficients
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Consequences of Godel's Theorems
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Rank of sample covariance matrix
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Kernel, Range, Basis (linear algebra)
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What is A2 when N(A) = C(A) and the columns of A are in the nullspace of A?
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Practice problem with invertible matrices
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Linear Algebra Theorems for Graduate Level Course
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A Proof of Fermat's Little Theorem
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Fitting a quadric function to a set of points
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The Forward Direction of "V: a + iTa=b+iTb, iff a=b"
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Computing Modular Cube Roots Modulo a Prime
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Does Finding an Eigenvalue Guarantee an Eigenvector?
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Is This a Vector Space?
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Can Direct Sum Isomorphism Imply Module Equality in PID?
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Counting Lattice Points in a Circle: A Math Contest Question
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Adjoint of a Differential Operator
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Maximise this quadaratic form, subject to these constraints.
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Polynomials f(x) & g(x) in Z[x] Relatively Prime in Q[x]
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What Are the Ring Homomorphisms from Z[X] to Z[X]?
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Raising a bunch of matrices to a power
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Proving Perfect Number Equivalency with Mod 10
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How to express as a quotient of base n integers
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Proving a Finite Group is Not Simple
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Proving a Group is Cyclic - A Guide for Beginners
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How to Convert Least Squares Problems into Independent Equations
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Arbitrary cycle of digits in rational number?
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What Are Elliptic Curves and Their Connection to Fermat's Last Theorem?
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Proving Triangular Matrix Inverse is Also Triangular
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Is convolution a linear operator?
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Modulo in solving numbers raised to high exponents
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Least Squares Approx. for Life Expectancy
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Prove the following is irrational
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What Is the Euclidean Analog of the Poincaré Group?
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Proving Normal Subgroup of S4 in Alternative Ways
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What is the proof that there is no greatest natural number?
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Help simplify the matrix equation
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How Many nth Roots of Unity Exist for k-Sized Matrices?
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Need Help with Abstract Algebra Please
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PLEASE HELP How to Cross Product Two 3x3 matrices
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Vector Space Basis: Standard or Odd?
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How to find eigenvectors of a matrix
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Is α a Primitive Element Modulo p Given α^q ≡ -1 mod p?
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Eigenvalue and eigenvectors of COMPLEX matrix
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Proving a linear transformation is an isomorphism
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How Do Number Theory and Group Theory Interconnect?
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Eigen values and cubic roots question
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Finding groups by semidirect products
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Compute transformation matrix in nth dimension
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Are Z21 and C2*C6 Isomorphic?
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How to Simplify This Equation with x=z+1?
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Significance of a singular matrix
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The Chinese Remainder Theorem for moduli that aren't relatively prime
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Understanding Span: Multiple Elements in <x>
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Have questions about Fermat's little theorem? Learn more here!
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Why Do We Prefer the Decimal System in Mathematics?
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Normal and Simple Subgroups in Finite Group G: Proof of Equality for K and H
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Rotations in nth Dimensional Space
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Homomorphisms into an Algebraically Closed Field
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Diagonalization, which eigenvector is found?
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Isomorphism without being told mapping
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Can Principal Ideals in Infinite Monoids Have Non-Empty Intersections?
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What Are Shankar's Inner Product Axioms in Quantum Mechanics?
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What Is the Name for the Product of Unique Prime Factors?
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Strongly connected primitive matrix
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What is the optimal point in the nullspace of A using Lagrange multipliers?
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Can 2^n-1 Be Proven to Always Be Prime for Real Integer n Greater Than 1?
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How Does Stirling's Approximation Simplify Poisson to Normal Approximation?
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Finding Natural Numbers n Satisfying a Congruence
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Eigenvalues of positive definite (p.d) matrix
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Can Bezout's Theorem Prove Coprime Relationship in Modular Arithmetic?
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Gaus -jordan elimination compared to cofactor method
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Can Constant Vectors Solely Satisfy the Kernel Conditions of a Quadratic Form?
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Relationship between primitive roots of a prime
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Understanding Factor Groups of Infinite Groups: Examples and Solutions
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Is it Possible to Create a Sequence That Visits 0, 1, and 5 Infinitely Often?
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Determinant of (A+B) in GA: where is the mistake?
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How Many 2x2 Matrices Equal I?
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Are prime fractals, or have a fractal geometry ?
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Are Irreducible Polynomials of Degree 4 Always Reducible?
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A problem with basis and dimension
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Integral equation for Xi-function
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Modulo arthmetic solve for x^N .
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What Prerequisites Should I Review Before Learning Linear Algebra?
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What are the best linear algebra textbooks for self-study?
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Navigating Research on Riemann Hypothesis
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Runner Alignments on Circular Tracks: Meeting Times and Speed Combinations
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Show the reflections over the line do not have group structure?
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How do I find the power of (3-i)^12 using trigonometric form?
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Is Unitarity Preserved by Different Inner Products?
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Diophantine and coprime solutions x,y
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Vector expressed in a basis noncoplanar, neither orthogonal nor of unit length
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