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 Why is T(1)=2 in the matrix of a linear mapping?
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Graduate Linear algebra question, quadratic forms.
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Graduate Is Real Numbers an Ordered Field Under <?
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Graduate Distance between two linear subspaces
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Graduate Is this a short, marvelous proof of Fermat's Last Theorem?
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MHB What is an Abelian group and why is it useful in mathematics?
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Graduate Linear Operator T on Vector Space V: Unique Matrix A in Ordered Bases B
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Graduate Finding Anti-commuting Complex structures
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MHB Notation for Element-Wise Matrix Operations
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Graduate Minkowski Metric and the Sign of the Fourth Dimension
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Undergrad Linear system of equations and its solution(s)
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Undergrad Cross product and matrix multiplication
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Graduate Product Groups and their dimensions
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Graduate Simple linear algebra problem (points on circle for a given vector and angle)
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Undergrad Trying to derive a transformation Matrix from a set of known points
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Undergrad Solving Integer Cubes & Squares: 7k & 3k?
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Graduate Work on unit vector notation for matrices?
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Undergrad Prove (n(n+1)(2n+1))/6 is Integer - Div Alg
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Graduate Riemann sphere in infinite dimensional space?
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MHB Rank of the product of two matrices
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Undergrad Another reminder on finding eigenvectors
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Graduate Repeated Eigen Values and their Eigen Vectors
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Graduate What Basis Spans Square Integrable Functions with Exponential Tails on [0,∞)?
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Graduate Developing Inner Product in Polar Coordinates via metric
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Graduate Representation theory question
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Graduate Finding Linearly Dependent Rows in a Large Matrix
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Graduate Proving Closure of Set of Operators w/ Property P Under Addition
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Undergrad Learn Determinants: Visualizing What are Determinants & How to Use Them
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Graduate Why do we only work with vector space isomorphisms over a fixed field?
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Graduate How to Prove an Inequality Involving a Hermitian Negative Definite Matrix?
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Graduate Matrix Algebra: Info on M^{-1}_{i} M_{j} + M^{-1}_{j} M_{i} = 2\delta_{ij} I
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Graduate 90 - The Only Deficiently Perfect Imperfect Number ?
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MHB How Can Basis Vectors Simplify Real-World Problems?
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Graduate What is the purpose of this matrix operator?
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Graduate Relationship between the eigenvalues of a matrix acting on different spaces.
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Graduate Every prime greater than 7 can be written as the sum of two primes
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Undergrad Why isn't 80 mod (-11) equal to 3?
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Graduate Dimension of a multivariate polynomial space
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Undergrad Vector intersecting other vectors in a specific manner
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Graduate Understanding Equation XI.31 in Lie Algebras
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Undergrad Prove that this number is not a prime number
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Undergrad Is it always possible to find the G.C.D of two polynomials?
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Graduate By Listing Them Randomly, Could we Count the Irrationals?
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Graduate Problem with SU(3) generators's trace
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High School Repeated elements within a group - possible?
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Undergrad Can someone explain why the exponents behave like this
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Graduate Determinat formula in Einstein notation
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High School Classifying a group into two different ways
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Graduate A Possible Proof for Brocard's Problem
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Undergrad Proofs in Algebra vs Proofs in Analysis
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Undergrad What are the Eight Weight Combinations that Can Weigh up to 3280g?
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Graduate Trouble with deducing the contradiction
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Graduate How to compute the determinant of this matrix?
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Undergrad What kind of mathematical order is this?
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Graduate Torsion-free simple linear group
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Graduate Right-handed, left-handed systems for different coordinate systems, et al
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Undergrad Inverting a system of equations technique?
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Graduate Wigner's little group, massless case
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Does the elegant proof to the Fermats last theorem exists?
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Graduate New approach to FLT Proof for prime powers of n
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Undergrad Pivot Variables in Reduced Row Echelon Form
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Undergrad Context Free Grammar (eliminate the unit of production rules)
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MHB Can the Algebraic Result of a Dot Product be Applied to Vectors?
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MHB Why do you divide the components by the magnitude when finding a unit vector?
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Graduate Sums of Legendre Symbols Question
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Graduate How can one prove P(τ)S(τ) = S(τ)P(0)?
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High School How does the exponential function work?
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Undergrad Multiplication Of Vectors with a Vector As An Element
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MHB How Do Dot and Cross Products Enhance Backface Culling in Java Graphics?
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Graduate How Does the Euler Totient Function Apply to Multiplicative Proofs?
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Undergrad Defining an ellipse with the major axis and a point
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MHB Square root in Q(root 2) means its in Z[root 2]
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Graduate Pseudoinverse - change of basis?
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MHB Solving this system of equations.
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Graduate Normal matrix that isn't diagonalizable; counterexample?
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High School Where Can I Find More Information on Patterns in Mathematics?
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Graduate Another interesting number theory tidbit
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Graduate Solving a three-variable Diophantine
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MHB Splitting field does not seem to exist... :O
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Graduate Least squares approximation: Is smaller normal distance always better?
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MHB Can Vectors Be The Key to Motivating Students in a Linear Algebra Course?
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Undergrad Mathematical Iteration for Alignment of 4 Points
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MHB Determinants in Introductory Linear Algebra Courses
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Graduate What Are General Linear Transformations of p Vectors from R(n) to R(m)?
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Undergrad Column picture for representing a system of equations
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High School How does a matrix times a vector yield a vector?
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Graduate How Do You Prove the Dimension of a Direct Sum Equals the Sum of Dimensions?
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Graduate Deriving the Formula for the nth Term of the Fibonacci Sequence Using Matrices
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Undergrad The importance of determinants in linear algebra.
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Undergrad Revisiting an old problem with startling new mathematical results
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Graduate Comparing definitions of groups, rings, modules, monoid rings
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Graduate A pseudo-orthogonalization process
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MHB Basis for the eigenspace corresponding
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MHB Prove that G is a p-group iff every element of G has order a power of p
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Undergrad Definition of vector addition, Cartesian product?
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Graduate What is the significance of 744 in Heegner Numbers?
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High School Why Can I Move Vectors in a Coordinate System?
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Undergrad How can the common divisor theorem be proven using proof by induction?
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Graduate Existent solution to the linear system Ax=b
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Undergrad What are Some Real-Life Applications of the Cayley Hamilton Theorem?
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