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.
Graduate Every finite subgroup of isometries of n-dimensional space
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Graduate Group of symmetries on a regular polygon
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Graduate Understanding Group Action for Graeme
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Graduate If A is nilpotent square matrix then I+A is invertibl
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Undergrad Basic Solutions and Linear Combinations
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Undergrad Does the Set S Span P3? Solving for Linear Span in Vectors
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Undergrad Proving Linear System Ax=b Consistent iff Rank A = m
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Graduate 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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Undergrad Can ax + by + cz = d have an integer solution?
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High School What is the equation for combining two vectors using the parallelogram rule?
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Undergrad Questions about the concept of subspace of linear transformation
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Undergrad A question about the solution of linear equation
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Graduate Multiplicativity/Additivity and homomorphisms
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Graduate String Theory & Riemann Hypothesis: Is There a Connection?
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Undergrad How Do Matrix Transpose and Adjoint Relate to the Original Matrix?
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Graduate Proving Subspace in R^3 with Fixed Matrix A: W={x \in R^{3} :Ax=[^{1}_{2}]}
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High School Evaluating the Dot Product of 3D Vectors
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Graduate Eigenvector existence in complex space
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Undergrad Why does Euler's Formula work for finding the remainder of 2^999 modulo 100?
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Graduate Have you seen this new recursive series identity?
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Undergrad Solving Linear DE Systems | Step-by-Step Guide for Finding Solutions - Gaganaut
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Undergrad Couple of Linear Algebra Questions
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Undergrad Find the highest power of 2 dividing n
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Graduate Explained: Decomposing Lie Groups in Theoretical Physics
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Graduate Algebraic integers of a finite extension of Q has an integral basis
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Graduate Understanding a Proof: Uniqueness of R Determined by W Explained
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Undergrad Give the ranks of both the matrix of coefficients and the augmented
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Graduate Please help me find the automorphisms of order 2 in Gl_3 (F_2)
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Undergrad What Jobs Utilize Linear Algebra and Matrices?
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Undergrad Construct a 2x2 matrix that is not the zero vector
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Undergrad Hi all i need a little help with Jordan form
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Graduate A question concerning matrix norms
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Graduate Which Prime Numbers Satisfy These Divisibility Conditions?
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Undergrad Question about injectivity/surjectivity => bijectivity
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Undergrad Coin toss with rule +1 if it is a head and -1 otherwise
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Graduate Are GL(n = 2, Z_p) and Corresponding Dihedral Groups Isomorphic?
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Graduate Proving AB is Idempotent: A=A^2, AB=BA
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Undergrad Vector subspace notation question
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Graduate How to Prove that (n-1)!= 0 (mod n) for Composite n?
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Undergrad Is 1/5*n^5 + 1/3*n^3 + 7/15*n Always an Integer for All n?
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Graduate Solving for the 0's of a polynomial in a ring
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Graduate Isomorphism and direct product of groups
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Undergrad Linear Operator T Property: U{f(x)*g(x)}=U{f(x)}*U{g(x)}
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Graduate Dimension of symmetric and skew symmetric bilinear forms
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Graduate How to Find an Explicit Formula for T-Inverse?
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Undergrad How can I solve [x]^13 + 7*[x] + 5 = 0 in ring 91 efficiently?
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Undergrad Solution to Simple Matrix Equation
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Graduate Matrix representation of complex space
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High School Say I have 5 computers. How many permutations are available?
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Graduate What is the Linear Combination of Recursive Series?
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Undergrad Diffrence between a transform a map
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Graduate Is U(t)=exp(-iH/th) a Lie Group in Quantum Mechanics?
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Undergrad What is the Zero Density Cube?
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Graduate Lie Algebra: Why is 2D Nilpotent Lie Algebra Abelian?
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Graduate Exploring Nilpotent Lie Algebras: Examples and Properties
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Graduate Can Arithmetic Progressions Form Infinite Relatively Prime Subsequences?
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Undergrad Strange simultaneous eqution problem?
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Graduate Non-Standard Addition & Multiplication in R^2: Zero Vector
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Undergrad Determine whether the set is a vector space
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Graduate Is (a_{k+1}*a_{k+2}) mod a_{k} = 0 for integer k in a recurrent sequence?
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Undergrad Just quickly, what is a generator in a group?
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Graduate Another notation for the dual space
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Graduate Where can I find resources for mastering Advanced Linear Algebra?
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Graduate What is a Hamel Basis and How is it Used in Vector Spaces?
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Graduate Solving Stiffness Matrix: Multiplication & Addition of Matrices
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Graduate Congruence of all integers n, 4^n and 1 +3n mod(9)?
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Graduate Primigenial ring ideals question
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High School Can These Matrices Be Multiplied?
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Undergrad What is the relationship between the rank of a matrix and its transpose?
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Graduate Projections on Banach and Hilbert spaces
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Graduate Is this an inner product on R3?
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Graduate Proving Isomorphism without Explicit Functions in Abstract Algebra
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Undergrad Proving that cube root 7 is irrational
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High School A vector is a vector is a vector
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Graduate Determining Finiteness of (ZxZ)/H for a,b,c,d
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Graduate Numbers with a prime factor > sqrt
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Undergrad Matrices Paper: Problem Modeling & C++ Solutions
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Graduate Solve Difficult Problem on R^4 with Two Conditions
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Graduate Quaternions and the ather hypercomplexe numbers
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Graduate Adjoint of an operator definition
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Undergrad Creating an Optimizer - What is the correct Math Model or formula to use ?
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High School What is the Definition of a Vector in Mathematics?
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Graduate Ensuring injectivity of an operator
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Graduate Complexification of a vector space
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Undergrad Dimension & Linear Maps: Does U=V?
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Graduate Are There Any Lower Bounds for Skewes' Number?
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Graduate Proving Even Divisibility of p^2-1 for Primes p≥5 in Number Theory
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Graduate Proving Matrix Equality with Inverse Properties
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Graduate Minimal Prime Tuplets and Nontrivial Bounds for A008407 Sequence
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High School Understanding Algebraic Expressions: Simplifying Subtraction as Addition
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Graduate What Is the Significance of Representation Theory in Mathematics and Physics?
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Graduate Gaussian Integers and Pythagorean Triplets
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Graduate What Happens When a Group Leaves a Subset of a Countably Infinite Set Stable?
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Graduate What Group Contains Elements a and b in Abstract Algebra?
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Graduate Does Continuity Play a Role in Modern Algebra?
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Graduate Is Galois' groundbreaking paper on solvable groups still relevant today?
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Undergrad How can I find Y from two equations WITHOUT using X?
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Graduate What Insights Exist on the Summation of \(\sum_{n=1}^{\infty} \frac{1}{n^3}\)?
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Graduate How does ending in 5 impact the divisibility of x by 7 in Pell's equation?
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