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.
Group of symmetries on a regular polygon
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Understanding Group Action for Graeme
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If A is nilpotent square matrix then I+A is invertibl
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Basic Solutions and Linear Combinations
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Does the Set S Span P3? Solving for Linear Span in Vectors
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Proving Linear System Ax=b Consistent iff Rank A = m
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Why Does the Field Choice Affect Maschke's Theorem Application to Group C2?
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What Is the Best Website to Learn About Induction and Onboarding?
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Can ax + by + cz = d have an integer solution?
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Questions about the concept of subspace of linear transformation
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A question about the solution of linear equation
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Multiplicativity/Additivity and homomorphisms
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String Theory & Riemann Hypothesis: Is There a Connection?
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How Do Matrix Transpose and Adjoint Relate to the Original Matrix?
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Proving Subspace in R^3 with Fixed Matrix A: W={x \in R^{3} :Ax=[^{1}_{2}]}
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Eigenvector existence in complex space
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Why does Euler's Formula work for finding the remainder of 2^999 modulo 100?
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Have you seen this new recursive series identity?
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Solving Linear DE Systems | Step-by-Step Guide for Finding Solutions - Gaganaut
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Couple of Linear Algebra Questions
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Find the highest power of 2 dividing n
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Explained: Decomposing Lie Groups in Theoretical Physics
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Algebraic integers of a finite extension of Q has an integral basis
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Understanding a Proof: Uniqueness of R Determined by W Explained
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Give the ranks of both the matrix of coefficients and the augmented
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Please help me find the automorphisms of order 2 in Gl_3 (F_2)
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What Jobs Utilize Linear Algebra and Matrices?
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Construct a 2x2 matrix that is not the zero vector
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A question concerning matrix norms
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Which Prime Numbers Satisfy These Divisibility Conditions?
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Question about injectivity/surjectivity => bijectivity
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Coin toss with rule +1 if it is a head and -1 otherwise
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Are GL(n = 2, Z_p) and Corresponding Dihedral Groups Isomorphic?
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Proving AB is Idempotent: A=A^2, AB=BA
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Vector subspace notation question
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How to Prove that (n-1)!= 0 (mod n) for Composite n?
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Is 1/5*n^5 + 1/3*n^3 + 7/15*n Always an Integer for All n?
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Isomorphism and direct product of groups
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Linear Operator T Property: U{f(x)*g(x)}=U{f(x)}*U{g(x)}
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Dimension of symmetric and skew symmetric bilinear forms
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How to Find an Explicit Formula for T-Inverse?
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Matrix representation of complex space
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Say I have 5 computers. How many permutations are available?
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What is the Linear Combination of Recursive Series?
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Is U(t)=exp(-iH/th) a Lie Group in Quantum Mechanics?
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What is the Zero Density Cube?
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Lie Algebra: Why is 2D Nilpotent Lie Algebra Abelian?
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Exploring Nilpotent Lie Algebras: Examples and Properties
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Can Arithmetic Progressions Form Infinite Relatively Prime Subsequences?
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Non-Standard Addition & Multiplication in R^2: Zero Vector
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Determine whether the set is a vector space
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Is (a_{k+1}*a_{k+2}) mod a_{k} = 0 for integer k in a recurrent sequence?
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Just quickly, what is a generator in a group?
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Another notation for the dual space
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Where can I find resources for mastering Advanced Linear Algebra?
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What is a Hamel Basis and How is it Used in Vector Spaces?
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Solving Stiffness Matrix: Multiplication & Addition of Matrices
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Congruence of all integers n, 4^n and 1 +3n mod(9)?
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Primigenial ring ideals question
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Can These Matrices Be Multiplied?
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What is the relationship between the rank of a matrix and its transpose?
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Projections on Banach and Hilbert spaces
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Proving Isomorphism without Explicit Functions in Abstract Algebra
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Proving that cube root 7 is irrational
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A vector is a vector is a vector
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Determining Finiteness of (ZxZ)/H for a,b,c,d
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Numbers with a prime factor > sqrt
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Solve Difficult Problem on R^4 with Two Conditions
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Adjoint of an operator definition
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Creating an Optimizer - What is the correct Math Model or formula to use ?
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Ensuring injectivity of an operator
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Complexification of a vector space
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Dimension & Linear Maps: Does U=V?
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Are There Any Lower Bounds for Skewes' Number?
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Proving Even Divisibility of p^2-1 for Primes p≥5 in Number Theory
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Proving Matrix Equality with Inverse Properties
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Minimal Prime Tuplets and Nontrivial Bounds for A008407 Sequence
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What Is the Significance of Representation Theory in Mathematics and Physics?
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Gaussian Integers and Pythagorean Triplets
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What Happens When a Group Leaves a Subset of a Countably Infinite Set Stable?
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What Group Contains Elements a and b in Abstract Algebra?
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Does Continuity Play a Role in Modern Algebra?
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Is Galois' groundbreaking paper on solvable groups still relevant today?
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What Insights Exist on the Summation of \(\sum_{n=1}^{\infty} \frac{1}{n^3}\)?
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How does ending in 5 impact the divisibility of x by 7 in Pell's equation?
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Correct reasoning about direct sums proof?
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Young Tableux and representation theory
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How to compute row-reduced echelon form and understand upper triangular matrices
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Why Adjoint Representation Has a Higher Dimension Than Basis Matrices?
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Linear independence after change of basis
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What is the kernel of a field morphism and how is it related to ideals?
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Can Monads Transform the User Experience on YouTube?
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Construction of a cyclic sequence re the Golden Ratio
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Lie algebra, ideal and isomorphism
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Are Algebraic Closures of a Field Isomorphic?
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Demonstration/proof advice needed
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Galois Solvable Group and Realizability over \mathbb{Q} for |G|=p^n
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Number Theory: Find Multiplicative Order for (a,n) = 1
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Number Patterns and Multiples of 9: Investigating Interesting Sequences from 2-9
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Irreducibility test for polynomials over Fp
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