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 Injection, surjection, and bijection
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Graduate Can NNLS algorithms solve overdetermined systems with positive constraints?
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Undergrad Vector spaces and matrices question
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High School What Are the Basics of Game Theory in Morton D. Davis' Introduction?
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Undergrad Proving Linear Injectivity in Finite-Dimensional Vector Spaces
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Graduate How can the inverse of a Householder matrix be verified using the given proof?
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Graduate Suppose A^k=0 for some integer k is greater than or equal to 1
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Graduate The order and signature of a k-cycle
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Graduate Clearer Understanding of Permutation and Transpositions
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Graduate Problem regarding computation of factor groups.
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Graduate How to Solve a Homogeneous System with Norm Constraint?
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Undergrad Can You Reduce Simultaneous Equations by Eliminating Variables?
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Undergrad What Is The Purpose Of Matrix Algebra?
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Graduate Linear Algebra Problem: n, k Positive Ints, W, V, T
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Undergrad HOw can this determinant be 0 ?
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Graduate Exponential of (Markov Chain) Transition matrix
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Graduate Characteristic polynomial for nilpotent matrix.
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Graduate Solving Gen. Eigen Probs w/ Real Sym Indefinite A & Definite B
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Graduate Symmetries and shift of coordinates in 3D
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Graduate Finite Field Elements: F2n (1-8)
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Graduate Eigen values/vectors large symetric matrix
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Graduate What is the dot product of tensors?
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Graduate Square root of 1 with mod how to prove it?
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Graduate Proving the Vector Space Property: cv = 0, v ≠ 0 → c = 0
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Graduate Proof of Fermat's Little Theorem: g Generator of Fp*
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Undergrad Rotating a Parabola: 30o Anti-Clockwise About Origin
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Undergrad Understanding Linear Mapping: A Non-Technical Explanation
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Graduate Can P(F) be written as a direct sum of two subspaces?
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Graduate What is the significance of g(x) in number theory?
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Graduate What is the proof for Byron's Conjecture? Define Znx and prove its properties.
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High School Proving Inequalities: Multiplying 2 Negs Becomes a Positive
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Graduate What is the Proof for (p-1)!≡±1 (mod p) in Number Theory?
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Graduate Polynomial Expansion of a Constant and Variable
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Graduate Quadratic Form Q: Matrix A & Lambda Calculation
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Graduate Plane Fitting with Linear Least Squares
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Undergrad Nilpotent Matrices: How to Determine If Matrix is Nilpotent
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Undergrad Determinant Divisibility: Learn How to Show Without Evaluation
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High School The most accurate integral for the value of pi
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Graduate Is There an Alternative Addition for Complex Numbers or Quaternions?
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Graduate Riemann Hypothesis & Ulam's Spiral: Patterns & Relations
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Undergrad Solving Systems of Equations: Cramer's Rule vs Standard Method
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Undergrad Is it possible for matrices to be equal but their columns not equal?
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Graduate Ellipsoid Equation: Finding the Classical Form with Rotated Radii
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Graduate Do Bernoulli Numbers Always Have Unique Prime Factors in Their Denominators?
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Graduate Is the Symmetric Difference of Finite-Dimensional Subspaces Well-Defined?
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Undergrad Cross product of row and column vector
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Graduate Monster Group Talk: Recommended Books for 1st Year Math Grads
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Graduate How Do Linear Transformations Form a Basis in Finite Dimensional Spaces?
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Graduate Help for zeta functional equation
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Graduate Find b from a=b^x mod x^2 given a,x,p,q
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Graduate Sums of Subspaces: Is Addition Commutative & Associative?
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Graduate A seemingly simple combinatorial problem
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Undergrad What Are the Applications of Linear Algebra in Physics and Astronomy?
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Undergrad I can't understand most of the topics on my Linear Algebra Book.
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Undergrad Isomorphism: What's the Difference Between 1x1 Matrices and Scalars?
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Undergrad A question about the characteristic equation
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Graduate Related to partition theory, ways of representing a number
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Graduate Is H a Subgroup of GL(n,R)?
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Graduate Solutions to a set of polynomials (Commutative Algebra)
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Graduate Proof about commutator bracket
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Undergrad Parseval's equality and theorem?
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Undergrad Vector Space Q: Is Additive Identity Unique?
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Graduate Understanding Casimir Operators: Explained for Non-Mathematicians
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Undergrad Determinant of an orthogonal matrix
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Graduate Where n is an odd positive integer
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Undergrad System of linear equations-unique, infinitely many, or no solutions
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Graduate Does a=-g Imply a*x^1=-g*x^2 in Lie 3-Algebras?
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Graduate How Does the Length of a Kronecker Product Relate to Its Component Vectors?
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Undergrad Understanding and Calculating Matrix Determinants - Step by Step Guide
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High School Projection of vectors and scalars
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Undergrad Is there a unique identity element for matrices?
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Graduate Which Pairs (p,q) Satisfy 2^p+3^q and 2^q+3^p Being Prime?
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Graduate Normalizer subgroup proof proving the inverse
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Graduate How do I integrate dA(t)A^-1(t)=Bdt?
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High School Help with Solving a System of Equations
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Graduate Trace of a matrix and an expansion of eigenvectors
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Graduate Characteristic Zero: Explaining Rationals & Subfield Isomorphism
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Graduate Infinite product of consecutive odd/even, even/odd ratios
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Graduate Möbius function and prime numbers
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Undergrad Need help to using matrix to solve.
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Graduate How Can Group Theory Describe Human Social Interactions?
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High School Why is 0^0 considered 1 while 0^1 equals 0?
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Graduate Solving Root Finding Problem with Sparse Matrix | Krindik
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Graduate Find All Transitive G-Sets Up to Isomorphism w/ Subgroups of G
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Undergrad Dot Product Notation Clarification
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Graduate Angular velocity from two Matrices
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Graduate How to find a basis of a subspace V = {(x1; x2;….; xn) | Σni=1 xi=0}
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Undergrad Understanding Matrices Infinite: Case 3
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Graduate Quotienting a Category by an Object: Explained
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Graduate How Do F(X,n) and Q(n) Relate Through Partial Summation?
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Undergrad Minimising a vector over a restricted range
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Graduate Proving (a^n -b^n) Does Not Divide (a^n + b ^n): Divisibility Question
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Undergrad How can I learn about the maximum and eigenvalues of matrices?
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Undergrad Can I use back substitution to invert a matrix?
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Graduate Residue Problem: Seeking Alternative Solutions
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Graduate How Can College Students Master the Math Behind Kalman Filters?
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Graduate Number of Solutions to d(p) vs F(n) Modulo Prime?
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Undergrad Midterm Practice: Find the last digit of a number
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Undergrad Linear Combinations: Finding Vectors of (x,y)
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Graduate A couple of Infinite Series questions
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