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.
Finding Linearly Dependent Rows in a Large Matrix
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Learn Determinants: Visualizing What are Determinants & How to Use Them
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Why do we only work with vector space isomorphisms over a fixed field?
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How to Prove an Inequality Involving a Hermitian Negative Definite Matrix?
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Matrix Algebra: Info on M^{-1}_{i} M_{j} + M^{-1}_{j} M_{i} = 2\delta_{ij} I
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90 - The Only Deficiently Perfect Imperfect Number ?
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MHB How Can Basis Vectors Simplify Real-World Problems?
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What is the purpose of this matrix operator?
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Relationship between the eigenvalues of a matrix acting on different spaces.
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Every prime greater than 7 can be written as the sum of two primes
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Why isn't 80 mod (-11) equal to 3?
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Dimension of a multivariate polynomial space
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Understanding Equation XI.31 in Lie Algebras
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Prove that this number is not a prime number
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Is it always possible to find the G.C.D of two polynomials?
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By Listing Them Randomly, Could we Count the Irrationals?
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Repeated elements within a group - possible?
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Can someone explain why the exponents behave like this
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Determinat formula in Einstein notation
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A Possible Proof for Brocard's Problem
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Proofs in Algebra vs Proofs in Analysis
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What are the Eight Weight Combinations that Can Weigh up to 3280g?
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Trouble with deducing the contradiction
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How to compute the determinant of this matrix?
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What kind of mathematical order is this?
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Torsion-free simple linear group
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Right-handed, left-handed systems for different coordinate systems, et al
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Inverting a system of equations technique?
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Wigner's little group, massless case
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Does the elegant proof to the Fermats last theorem exists?
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New approach to FLT Proof for prime powers of n
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Pivot Variables in Reduced Row Echelon Form
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Context Free Grammar (eliminate the unit of production rules)
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Sums of Legendre Symbols Question
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How can one prove P(τ)S(τ) = S(τ)P(0)?
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How does the exponential function work?
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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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How Does the Euler Totient Function Apply to Multiplicative Proofs?
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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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Pseudoinverse - change of basis?
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MHB Solving this system of equations.
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Normal matrix that isn't diagonalizable; counterexample?
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Where Can I Find More Information on Patterns in Mathematics?
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Another interesting number theory tidbit
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Solving a three-variable Diophantine
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MHB Splitting field does not seem to exist... :O
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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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Mathematical Iteration for Alignment of 4 Points
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MHB Determinants in Introductory Linear Algebra Courses
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What Are General Linear Transformations of p Vectors from R(n) to R(m)?
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Column picture for representing a system of equations
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How does a matrix times a vector yield a vector?
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How Do You Prove the Dimension of a Direct Sum Equals the Sum of Dimensions?
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The importance of determinants in linear algebra.
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Revisiting an old problem with startling new mathematical results
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Comparing definitions of groups, rings, modules, monoid rings
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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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Definition of vector addition, Cartesian product?
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What is the significance of 744 in Heegner Numbers?
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How can the common divisor theorem be proven using proof by induction?
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Existent solution to the linear system Ax=b
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What are Some Real-Life Applications of the Cayley Hamilton Theorem?
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How was the irrationality of pi proven?
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Solve for x, a and b in matrix equation aAx + bBx = C
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How do I isolate S in this Matrix and Vector Equation?
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MHB What is the basis for each eigenspace?
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Rotating tensors (different from vectors?)
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MHB What does the notation $||A-B||_{2,a}$ represent in terms of matrix norms?
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Diagonalize Large Hermitian Matrices Efficiently?
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Imaginary Numbers: My Number System & Research Paper
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MHB Sylow p-Subgroups of Symmetric Group: Orders & Explanation
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Significance of difference between ring and algebra
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Direct Product of Groups: Subgroup Realization and Diagonal Subgroup
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P primary group and the correspondence theorem
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Why P^-1AP forms a triangular matrix
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Help understanding x,y,z equations
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Farrel Polynomials: Is It the Same as "Feral"?
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PARI/GP or comparable number theory program?
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Analytical Solution for Lower Triangular Matrix w/ Non-Zero Nth Column
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Is it called ring because of a clock?
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How to Convert Given Grammar to Chomsky Normal Form?
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Abelian group with order product of primes = cyclic?
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Linear Algebra: Rotation Matrix Qθ+φ
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Solving Wilson's Theorem w/ Odd Prime & Permutation
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Determining the Point and Angle of Rotation
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Why do morphisms in category of rings respect identity
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What are the implications of calculating the determinant of a matrix?
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How Can You Combine Bases from Subspaces in Linear Algebra?
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Can a group have monomorphisms in both directions and still not be isomorphic?
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How to Deduce the Normal Vector from a Given Vector Equation?
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Is the Prüfer Group Presentation Proof for Z_{p^\infinity} Possible?
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Is the signature of this matrix zero?
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How Can Polynomial Remainders Reveal Patterns in Algebra?
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Numerical method: iteratation to converge on root
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Creating a least-squares matrix of partial derivatives
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