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.
Effect on eigenvalues of multiplying by a diagonal matrix
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Understanding Adjoint Operators in Vector & Function Spaces
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Odd Prime Triples: Find & Explore Solutions!
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New Sieving Method, Goldbach's Conjecture
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Divisibility question; consecutive numbers
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Checking weather any positive number is zero or not
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Structure theorem for abelian groups
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How Do You Construct a Matrix to Select Specific Elements from Another Matrix?
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Are the number of operations countable or uncountable?
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Mapping points inside one 2D rectangle into another smaller one
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Find values for k in a system of equations
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Infinitesimal volume element in different coordinate system
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Change of coordinates for functions
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Therefore, (mn)! is divisible by m!(n!)^m.
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Computation of Continued Fractions of irrational numbers
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Why an odd perfect number, if exists, is not divisble by 3?
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Linear maps between finite dimensional spaces
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Find a solution for a Pell's equation
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Complementation=orthocomplementation? (Distributive lattices)
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What's the motivation for coset and quotient structure?
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Diagonalization of symmetric bilinear function
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Rearranging redshift formula for v
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Extending automorphism groups to inner automorphism groups.
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Matrix Factorization: Spherical & Cartesian Vectors
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Question in Proof of second order condition with linear constraints
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Sum of first n Fibonacci numbers with respect to n?
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What Is the Arithmetic Gamma Function \(\gamma_{m}(n)\)?
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Are Order 1 Alternating Tensors Different from Normal Tensors?
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Conjecture: Sophie Germain Triangles & x | 2y^2 + 2y - 3 = z^2
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Pictures of abstractions behind mathematical equations?
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Linear equations for calculating position for the GPS
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Easy question on the Second Sylow Theorem
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What is the significance of rings in understanding Fermat's Last Theorem?
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Is Rank(A) Equal to Trace(AA*) and When Does AB-BA=I Hold?
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What is the Relationship Between Sine and Inverse Pi as n Increases?
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Why Rank is the Trace of a Projection
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Vector Spaces of Infinite Dimension
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Is Every Matrix Similar to Its Transpose?
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Properties of Gl(n,R); R a ring/division ring
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Is the Leech Lattice a Lie Group?
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What determines the orientation of a vector space?
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How to prove 'infinite primes' kind of problem
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All Square Numbers Follow a Recursive Series?
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Is Multiplication Really Just Repeated Addition?
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Orthogonal Matricies and rotations.
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Recurrence formula in Pell's equation
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SVD vs Eigenvalue Decompositon (Diagonalizability)
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The mapping to alternating tensors
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What are the applications of group theory?
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What are some recommended books for learning linear algebra?
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Determining if Subset is a Subgroup by using Group Presentation
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How to extend a set to form a basis?
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Would Number Theory Collapse if Riemann's Hypothesis is Proven True?
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Can orthonormal columns lead to orthonormal rows in a square matrix?
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Quantifiers - does this order matter?
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Unique volume element in a vector space
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What is the rotation group of a cube?
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Convex set : characteristic cone
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Is √N Always Irrational for Non-Square Integers?
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Grad textbook on abstract algebra
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Irreducible Polynomials over Finite Fields
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Primes and arithmetic progressions.
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Which is the Correct Jordan Form?
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Alt Tensor: If Alt(\omega)=\omega, Is \omega Alternating?
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Matrix & Basis: Find D Matrix for V
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Proving Normality of a Quotient Group: A Shortcut Method
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Invariance of scalar products on Lie algebras
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How many ways to express a prime (= 1 mod 4) into sum of 2 squares ?
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Does the set of solutions for Ax=b form a subspace?
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Does infinite solutions imply the row vectors are linearly dependent?
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What Are the Divisibility Patterns of Repunit Numbers?
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Expressing Matrix Product Ax as Linear Combination of Column Vectors in A
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Meaning of Eigenvectors in a Graph
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When p(A)=0 iff p(B)=0 for any polynomial,why same minimal polynomial?
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Why is the minimum norm solution commonly used for underdetermined systems?
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Can Any Matrix Be Similar to Itself Without Being a Scalar Multiple?
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Is Q^{-1}AQ^{-1} Always Hermitian?
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Triangular Similar Matrix question
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Prove the column space of AB is contained in the column space of matrix A
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Proving Invertible Matrix A Creates New Basis from {X1,X2,X3..Xn}
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Is There Always a Solution for b^x - b^y to be Divisible by a?
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Approximating an area by rectangles
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Classes of polynomials whose roots form a cyclic group
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Finding basis and dimension of W = {(a,b,c,0)} where abc are real numbers
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Is \mathcal S Equipped with a Convex Structure?
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How Can You Accurately Draw the Riemann Xi Function Curve?
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Reciprocal basis and orientation
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Proving AB & BA Have Same Characteristic Polynomial - Simple Ways
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Product of two systems of linear differential equations
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Finding values of t for which the set is linearly independent
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Understanding the Geometric Interpretation of the Gram-Schmidt Process
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Any fast way to compute the fixed vector of a Markov chain transistion matrix?
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Does this set of polynomials span P3?
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Ken Ono and Hausdorff dimensions
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Congruence: Solving Let p be a Prime Number
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Row reducing the matrix of a linear operator
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Differentiability of eigenvalues of a positive matrix
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Finding eigenvectors of similar matrices
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Is a 2x2 Complex Matrix with N^2=0 Always Similar to a Specific Form?
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Can you prove this inequality involving factorials and powers?
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