Linear and Abstract Algebra Forum

High School Finding a formula for a sequence with recurring digits

Graduate What is the suitable representation of a linear operator of matrices?

Undergrad Question on reducing 3 equations with 3 unknowns

Graduate Equidistribution of points on a sphere

Graduate Finding A in Non-Square Matrices: Pseudo Inverse vs Gradient Search

Undergrad Is There a Recognizable Pattern in the Distribution of Prime Numbers?

Undergrad Why is T(1)=2 in the matrix of a linear mapping?

Graduate Linear algebra question, quadratic forms.

Graduate Is Real Numbers an Ordered Field Under <?

Graduate Distance between two linear subspaces

Graduate Is this a short, marvelous proof of Fermat's Last Theorem?

What is an Abelian group and why is it useful in mathematics?

Graduate Linear Operator T on Vector Space V: Unique Matrix A in Ordered Bases B

Graduate Finding Anti-commuting Complex structures

Notation for Element-Wise Matrix Operations

Graduate Minkowski Metric and the Sign of the Fourth Dimension

Undergrad Linear system of equations and its solution(s)

Undergrad Cross product and matrix multiplication

Graduate Product Groups and their dimensions

Graduate Simple linear algebra problem (points on circle for a given vector and angle)

Undergrad Trying to derive a transformation Matrix from a set of known points

Undergrad Solving Integer Cubes & Squares: 7k & 3k?

Graduate Work on unit vector notation for matrices?

Undergrad Prove (n(n+1)(2n+1))/6 is Integer - Div Alg

Graduate Riemann sphere in infinite dimensional space?

Rank of the product of two matrices

Undergrad Another reminder on finding eigenvectors

Graduate Repeated Eigen Values and their Eigen Vectors

Graduate What Basis Spans Square Integrable Functions with Exponential Tails on [0,∞)?

Graduate Developing Inner Product in Polar Coordinates via metric

Graduate Representation theory question

Graduate Finding Linearly Dependent Rows in a Large Matrix

Graduate Proving Closure of Set of Operators w/ Property P Under Addition

Undergrad Learn Determinants: Visualizing What are Determinants & How to Use Them

Graduate Why do we only work with vector space isomorphisms over a fixed field?

Graduate How to Prove an Inequality Involving a Hermitian Negative Definite Matrix?

Graduate Matrix Algebra: Info on M^{-1}_{i} M_{j} + M^{-1}_{j} M_{i} = 2\delta_{ij} I

Graduate 90 - The Only Deficiently Perfect Imperfect Number ?

How Can Basis Vectors Simplify Real-World Problems?

Graduate What is the purpose of this matrix operator?

Graduate Relationship between the eigenvalues of a matrix acting on different spaces.

Graduate Every prime greater than 7 can be written as the sum of two primes

Undergrad Why isn't 80 mod (-11) equal to 3?

Graduate Dimension of a multivariate polynomial space

Undergrad Vector intersecting other vectors in a specific manner

Graduate Understanding Equation XI.31 in Lie Algebras

Undergrad Prove that this number is not a prime number

Undergrad Is it always possible to find the G.C.D of two polynomials?

Graduate By Listing Them Randomly, Could we Count the Irrationals?

Graduate Problem with SU(3) generators's trace

High School Repeated elements within a group - possible?

Undergrad Can someone explain why the exponents behave like this

Graduate Determinat formula in Einstein notation

High School Classifying a group into two different ways

Graduate A Possible Proof for Brocard's Problem

Undergrad Proofs in Algebra vs Proofs in Analysis

Undergrad What are the Eight Weight Combinations that Can Weigh up to 3280g?

Graduate Trouble with deducing the contradiction

Graduate How to compute the determinant of this matrix?

Undergrad What kind of mathematical order is this?

Graduate Torsion-free simple linear group

Graduate Right-handed, left-handed systems for different coordinate systems, et al

Undergrad Inverting a system of equations technique?

Graduate Wigner's little group, massless case

Graduate New approach to FLT Proof for prime powers of n

Undergrad Pivot Variables in Reduced Row Echelon Form

Undergrad Context Free Grammar (eliminate the unit of production rules)

Can the Algebraic Result of a Dot Product be Applied to Vectors?

Why do you divide the components by the magnitude when finding a unit vector?

Graduate Sums of Legendre Symbols Question

Graduate How can one prove P(τ)S(τ) = S(τ)P(0)?

High School How does the exponential function work?

Undergrad Multiplication Of Vectors with a Vector As An Element

How Do Dot and Cross Products Enhance Backface Culling in Java Graphics?

Graduate How Does the Euler Totient Function Apply to Multiplicative Proofs?

Undergrad Defining an ellipse with the major axis and a point

Square root in Q(root 2) means its in Z[root 2]

Graduate Pseudoinverse - change of basis?

Solving this system of equations.

Graduate Normal matrix that isn't diagonalizable; counterexample?

High School Where Can I Find More Information on Patterns in Mathematics?

Graduate Another interesting number theory tidbit

Graduate Solving a three-variable Diophantine

Splitting field does not seem to exist... :O

Graduate Least squares approximation: Is smaller normal distance always better?

Can Vectors Be The Key to Motivating Students in a Linear Algebra Course?

Undergrad Mathematical Iteration for Alignment of 4 Points

Determinants in Introductory Linear Algebra Courses

Graduate What Are General Linear Transformations of p Vectors from R(n) to R(m)?

Undergrad Column picture for representing a system of equations

High School How does a matrix times a vector yield a vector?

Graduate How Do You Prove the Dimension of a Direct Sum Equals the Sum of Dimensions?

Graduate Deriving the Formula for the nth Term of the Fibonacci Sequence Using Matrices

Undergrad The importance of determinants in linear algebra.

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Undergrad Revisiting an old problem with startling new mathematical results

Graduate Comparing definitions of groups, rings, modules, monoid rings

Graduate A pseudo-orthogonalization process

Basis for the eigenspace corresponding

Prove that G is a p-group iff every element of G has order a power of p