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.
Multidimensional cross product vector
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Constructing a 2D Matrix for Solving Equations with Multiple Unknowns
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No problem, glad I could help! Keep up the good work in your studies.
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Proof of R Transpose and Inverse Equals Identity Matrix
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How can the recurrence relations for Eisenstein series G_k(z) be proven?
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Proof of the Cauchy Shwarz inequality
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Ideal/Submodule Query - Proving R is Principal Ideal Domain
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Discover the Cute and Simple Formula for Pi Derived from the Dirchlet Function
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Riemann hypothesis and number theory
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Finding a smaller subset within a set
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Eigenvalues of sum of a Hermitian matrix and a diagonal matrix
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Find a basis for the space of 2x2 symmetric matrices
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Inverse of b mod n: Find, Steps, Examples
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Solving Pell's Equation: I'm Stuck!
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Can Fractals Predict Prime Positions Through Partition Numbers?
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Right handed frames and Orientation
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Is the Tensor Product Associative?
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Fundamental theorem of Orthogonality
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So, do negative prime numbers exist?
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I don't get Eigenvalues or Eigenvectors
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How Can You Roll a 13 Using 2 Dice?
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Efficient Fortran Subroutines for Matrix Diagonalisation: Small Matrices
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Good luck!Proving the Relationship between Fibonacci and Lucas Series
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What Are the Key Concepts in Understanding Genus 2 Hyperelliptic Curves?
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Proving the Sum of Hermitian Matrices is Hermitian
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Is the Conjugate of a Polynomial the Same as Its Conjugate Field?
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Is an un-spannable vector space automatically considered infinite dimensional?
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What Is the P-adic Volume of the P-adic Circle x² + y² = 1?
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Proof of an identity in determinants
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A Surjective Function for All [R]
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Is every element in F algebraic over Q?
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|G|=4. Prove the group is either cyclic or g^2=e
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Is There a Connection Between Ken Ono and Factoring?
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What do French, German, and Russian texts call the Cauchy-Schwarz inequality?
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How to scale an input number range ?
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|G|=p^k. Prove G has an element of order p.
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Show K⊂R⊂F Fields: Algebraic Over K => R is a Field
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Number Theory Puzzler: Proving N-S is a Multiple of 9
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Proving the Number of Digits in a Number Formula: A Scientific Exploration
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The units of a cartesian product?
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Prove that G is a linear vector space
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Is f(x) Idempotent for Any Matrix B in M2(R)?
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What is the significance of k being a multiple of 2 or 3?
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Is sqrt(5) Rational? Understanding the Proof by Contradiction
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Is this statement about the rank of a linear map true or false?
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Matrix inverse equals power-series
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How do you prove that the operations on cosets in rings are well-defined?
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Relating Two Notions of Tensor Product
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Change of Basis + Geometric, Algebraic Multiplicities
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Harmonic series, slowest diverging series?
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Logical Systems+new Principles+attempt To Solve Collatz Conjecture
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Tensor Rank of 2X2 Matrix: Is It Always 2?
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Expected Value and covariance of matrix
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What is the definition of affine n-space in algebraic geometry?
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How Do I Prove Ring Properties and Understand Their Structures?
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Why Define Inner Products for Complex Vector Spaces Using Complex Conjugation?
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Euler's number e and Jacob Bernoulli's expression
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What Are All the Homomorphisms from Z to Z?
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Proof of Idempotent Matrix with Inverse = Identity Matrix
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Is it possible to generalize it?
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HELP Mathematical notation needed for a prime mod 12 pattern
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Why Do Physics & Engineering Tools Form Groups?
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Simplifying Square Roots: Unraveling the Mystery of the Square Root Function
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Derivative (mimization) of matrix trace
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Finding coefficients using dual basis
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Motivating Matrix Addition/Multiplication Without Appealing to Linear Maps
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How to prove (p-1) = -1 (mod p), p is a prime.
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The largest number not in the form of ax+by, with gdc(a,b)=1.
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Can a Vector Space Over Field F Contain Entries from Other Fields?
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The geometric mutiplicity of a matrix
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Complex conjugation and vector space duality
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Is an Ideal Always a Linear Space?
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What is the intersection of nullspaces of S1, S2, and S3?
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Square matrix with no eigenvectors?
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To PI or not to PI challenge. Stern-Brocot
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Green's Relations and Their Congruences
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Vector Space of Functions & Matrices: Notation Explained
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2*T_x + 1 is Triangular & 3*T_x + 1 is also Triangular
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Prove that any two elements of order 3 in GL(2,Z) are conjugates.
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How can you determine if a composite extension is purely inseparable?
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How to count the total # of non-invertible 2x2 matrices
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(Not a Proof of) Goldbach's Conjecture
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Similarity transformation to the transpose
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Breaking RSA if you know m^k = 1 mod n
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Collatz Conjecture Paper: Check it Out & Give Opinion
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Why is it possible for 1 to equal 0 in a trivial ring?
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Understanding TM* (tensorproduct) TM*: Let's Break it Down!
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Linear dependence of square matrices
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How do I numerically compute a state-space equation?
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Efficient Goldbach Partitions Formula with Intuitive Reasoning
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Observation: A Prime / Mersenne / (Ramanujan) Triangular Number Convolution
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Why were the Greek and Roman systems of numbers not used for actual calculation?
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How Can We Determine the Inverse Image of Euler's Totient Function?
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Gaussian Elimination Solution to the 2D Poisson Equation
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Deriving Nilpotent Matrices: I+N^-1 = I - N + N^2 - N^3...
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Is Q a Positive Definite Matrix in this Mathematical Proof?
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Is the Equivalence Relation on Complex Numbers Related to Determinants?
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What Are the Axioms of Algebra?
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Are all solutions of x^4=-1 in the complex plane valid?
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Resources for learning how to do proofs Linear algebra
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