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.
Proving the Vector Space Property: cv = 0, v ≠ 0 → c = 0
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Proof of Fermat's Little Theorem: g Generator of Fp*
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Rotating a Parabola: 30o Anti-Clockwise About Origin
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Understanding Linear Mapping: A Non-Technical Explanation
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Can P(F) be written as a direct sum of two subspaces?
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What is the significance of g(x) in number theory?
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What is the proof for Byron's Conjecture? Define Znx and prove its properties.
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Proving Inequalities: Multiplying 2 Negs Becomes a Positive
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What is the Proof for (p-1)!≡±1 (mod p) in Number Theory?
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Polynomial Expansion of a Constant and Variable
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Quadratic Form Q: Matrix A & Lambda Calculation
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Plane Fitting with Linear Least Squares
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Nilpotent Matrices: How to Determine If Matrix is Nilpotent
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Determinant Divisibility: Learn How to Show Without Evaluation
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The most accurate integral for the value of pi
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Is There an Alternative Addition for Complex Numbers or Quaternions?
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Riemann Hypothesis & Ulam's Spiral: Patterns & Relations
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Solving Systems of Equations: Cramer's Rule vs Standard Method
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Is it possible for matrices to be equal but their columns not equal?
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Ellipsoid Equation: Finding the Classical Form with Rotated Radii
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Do Bernoulli Numbers Always Have Unique Prime Factors in Their Denominators?
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Is the Symmetric Difference of Finite-Dimensional Subspaces Well-Defined?
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Monster Group Talk: Recommended Books for 1st Year Math Grads
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How Do Linear Transformations Form a Basis in Finite Dimensional Spaces?
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Help for zeta functional equation
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Find b from a=b^x mod x^2 given a,x,p,q
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Sums of Subspaces: Is Addition Commutative & Associative?
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A seemingly simple combinatorial problem
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What Are the Applications of Linear Algebra in Physics and Astronomy?
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I can't understand most of the topics on my Linear Algebra Book.
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Isomorphism: What's the Difference Between 1x1 Matrices and Scalars?
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A question about the characteristic equation
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Related to partition theory, ways of representing a number
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Is H a Subgroup of GL(n,R)?
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Solutions to a set of polynomials (Commutative Algebra)
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Parseval's equality and theorem?
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Vector Space Q: Is Additive Identity Unique?
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Understanding Casimir Operators: Explained for Non-Mathematicians
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Determinant of an orthogonal matrix
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Where n is an odd positive integer
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System of linear equations-unique, infinitely many, or no solutions
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Does a=-g Imply a*x^1=-g*x^2 in Lie 3-Algebras?
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How Does the Length of a Kronecker Product Relate to Its Component Vectors?
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Understanding and Calculating Matrix Determinants - Step by Step Guide
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Projection of vectors and scalars
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Which Pairs (p,q) Satisfy 2^p+3^q and 2^q+3^p Being Prime?
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Normalizer subgroup proof proving the inverse
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How do I integrate dA(t)A^-1(t)=Bdt?
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Trace of a matrix and an expansion of eigenvectors
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Characteristic Zero: Explaining Rationals & Subfield Isomorphism
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Infinite product of consecutive odd/even, even/odd ratios
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Möbius function and prime numbers
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Need help to using matrix to solve.
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How Can Group Theory Describe Human Social Interactions?
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Why is 0^0 considered 1 while 0^1 equals 0?
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Solving Root Finding Problem with Sparse Matrix | Krindik
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Find All Transitive G-Sets Up to Isomorphism w/ Subgroups of G
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Dot Product Notation Clarification
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How to find a basis of a subspace V = {(x1; x2;….; xn) | Σni=1 xi=0}
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Understanding Matrices Infinite: Case 3
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Quotienting a Category by an Object: Explained
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How Do F(X,n) and Q(n) Relate Through Partial Summation?
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Minimising a vector over a restricted range
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Proving (a^n -b^n) Does Not Divide (a^n + b ^n): Divisibility Question
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How can I learn about the maximum and eigenvalues of matrices?
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Can I use back substitution to invert a matrix?
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Residue Problem: Seeking Alternative Solutions
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How Can College Students Master the Math Behind Kalman Filters?
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Number of Solutions to d(p) vs F(n) Modulo Prime?
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Midterm Practice: Find the last digit of a number
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Linear Combinations: Finding Vectors of (x,y)
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A couple of Infinite Series questions
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Help using Cramer's rule to show properties of determinants
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Landau Notation: Writing Functions in Terms of Other Functions
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Twin Prime Sieve - A Unique and Efficient Method for Generating Twin Primes
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How is Isomorphism Related to Cayley's Theorem?
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Find a permutation of order 15 in S8.
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Linear transformation between bases
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Construction of lines from points
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Group Action and a Cartesian Product
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Consisity of non-homogenous systems of linear equations
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What to make out of series like 1+2+3+ = -1/12 ?
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Must every linear operator have eigenvalues? If so, why?
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How Can Eigenvalues and Eigenvectors Be Explained Geometrically?
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Mystery equation written by an 8yr old
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Prove Square of Integer Ends in 0, 1, 4, 5, 6, 9
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Proof of inner product for function space
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How Can I Differentiate Various Group Types in Algebra?
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Solution Guide for Hoffman and Kunze Problems: Does it Exist?
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Conjugate of a matrix and of a function
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Norm of a Function vs. Length of a Vector
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Hermitian inner product btw 2 complex vectors & angle btw them
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Lorentz Force Equation: Geometric Interpretation
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What happens when I put cube and square doubles in a matrix?
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How can we use induction to prove that (xy)^{3} = y^{3}x^{3} for all x,y in G?
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Prove that 12 | n^2-1 if g.c.d. (n,6)= 1.
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Getting comfortable with homological algebra
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Eigenvalue with multiplicity k resulting in k orthogonal eigenvectors?
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Polar Decompositions: Purpose of sqrt(T*T)
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Norm of a function ||f|| & the root mean square of a function.
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