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 Are Eigenvalues Used in Real Life?
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The subtle difference between matrices and linear operators
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Density of primes between square numbers
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What are the key definitions in Linear Algebra?
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Is This Formula for Generating Primes New?
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System of nonlinear algebraic equations
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Can Vector v Be Expressed as a Linear Combination of v1, v2, v3, and v4?
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Proof on Order of Elements in a Group
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Numerically solving the null vector
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Does Randomness in Function f(n) Impact the Riemann Hypothesis?
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Factorizing Expressions: 216x2y2+150x2+6y2+72xy2+360x2y+48xy+40x+8y+7
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How can we fairly distribute points in a peer evaluation with 6 classmates?
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Simple category theory isomorphism
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Poisson distribution and binomial distribution questions
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Rank of a Matrix - Physics Forum | Jennifer
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Testing a Lanczos (tridiagonalization) algorithm
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How Can Vector Identities Be Proved Using Index Notation?
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I need a second opinion on a Graph Theory proof.
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Why are the casimirs independent of the representation
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Let A be an n x n matrix such that A^3 = On
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Is There a Function f: Z -> Z Such That f(f(n))=-n for Every Integer?
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Linear independence of eigenvectors
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Checking Graph Colorability: How Many Colors are Needed?
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What is the meaning of this expression ?
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Learning Algebra: Questions and Advice
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Applications of Abstract Algebra?
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Embed Symmetric Group in Alternating Group A(n+2)
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Can Music Notes Be Transformed into Mathematical Algorithms?
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Unknown primes less than largest known prime?
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Constructible root from cubic polynomial
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Is Gamma Irrational? Investigating the Irrationality of Pi and e
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Solving an example, vectors as rows or columns of a matrix = same solution.
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Definition of the determinant i = 1
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Changing the subject of a formula
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Counting partitions with two givens
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Less notorious, but still important numbers
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Determinant of nxn Matrix as Linear Function of Each Row
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Characteristic Polynomials and Minimal polynomials
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Understanding Phi Function and Multiplicativity
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About the isomorphism of 2 infinite-dimensional vector spaces
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About the basis of a quotient space
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Eigenvectors and Manipulations on the Matrix
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Playing around with imag. numbers.
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Can Representation Theory Be Applied to Homomorphisms and Finite Abelian Groups?
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Proving R is Infinite-Dimensional & Solving 3 Variable System
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Basis is finite set of vectors that are linearly independant
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Are there any such symbolic representations of Pi or ex?
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Finding Values of k for 6k2+4k in the Form 6ab+5a+b?
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Determining Irreducibility of f(x) and Third Degree Polynomials in Q[x]
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Proving Abelian Property of Galois Group in Q(z) over Q
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Proving Finite Field Roots for Z_p
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Basic question, vectors into matrices
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Is Linear Algebra More Important Than Calculus in Physics?
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What is the difference between the two definitions of Schur decomposition?
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Proof about an odd degree polynomial
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Is the Union of W and Its Orthogonal Complement Equal to V?
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Little bit confuse on vector space
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Matrix Eigenvectors: How Many Are Linearly Independent?
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How to show two rings are not isomorphic
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I was wondering what Q/Z, or the rational numbers modulo the integers.
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Newbie Asks: ONTO Surjection Help
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Universal Algebra: Why Isn't It More Widely Studied?
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Is this MathWorld page wrong? (it's about hyperplanes)
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Isomorphisms between cyclic groups? (stupid question)
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Two sets are isomorphic to each other
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Co/contra/in-variance of tensors in abstract algebra
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Non-Zero Orthogonal Vectors: Show m<=n
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Are There Any Other General Forms of Prime Numbers Besides 6n+/-5 and 6n+/-1?
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What's the Difference Between x_transpose*x and x*x_transpose?
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How Can Ramanujan's Identity Simplify Summing Powers of Integers?
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What does it mean for a matrix to have rank 0 ( zero) ?
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Theorem: Rank of a Matrix: Proof & Questions
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Solving simultaneous linear difference equations
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Tips on finding the eigenvalues of a 3x3 matrix
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Complex Vectors in Geometric Algebra
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A question about the rank of the sum of linear transformations
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Prove: n ≡ 3 (mod 4) Cannot be Sum of Two Squares
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A^3 + b^3 = c^3 where a, b, c, are sides of a triangle?
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Jordan Can. Form of Frobenius map
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Vectors & Angles: Find Relationship between \alpha & \beta
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Is the Rank-Nullity Theorem Always True for Linear Operators?
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Structure of elements of the unitary group
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Suppose that{u1,u2, ,um} are non-zero pairwise orthogonal vectors
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Q(sqrt(2)) and Q(sqrt(3)) not isomorphic?
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Question about primes and divisibility abstract algebra/number theory
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The generalized rank-nullity theorem
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Applications of Linear Inequalities?
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Find a nonzero vector u with initial point P(-1.3.-5) such that
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An small question about RSA algorithm
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A question about the rank of a linear operator
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How Does the Change of Coordinate Matrix Transform an Ellipse Equation?
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Singular Values & Linear Transformations
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What is the Limit of Prime Number Frequency?
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Why Do Hermite Polynomials Form a Basis for P3?
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Characteristic value of Fibonacci Sequences
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Determining Possible Values of N for Irreducible Polynomial in GF(2^2)
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Is Prime Number Density Uniformly Distributed Among Integers?
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Is Span{u1,u2,...,um} a Subspace of R^n?
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Calculating Real Values of Expressions
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[(2*(n^2)+1] MUST be divisible by 3
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