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 Prove if a belongs R, then (a^2)^1/2= |a|?
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Graduate Mathematica: Eigenvalues for a large symbolic matrix
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Undergrad Orientating objects to align with a specific axis
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Graduate Space of continuous functions C[a,b]
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Graduate A stupid question on norm and trace of fields
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Graduate Proving Only 2 Positive Integer Solutions for x3 = y2 – 15
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Graduate HELP Find all abelian groups (up to isomorphism)
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Graduate Nonsingularity of matrix of squares (help)
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Graduate How is a non-quadratic matrix singular?
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High School Understanding the Proof: Factorial of 0 is 1
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Graduate Solutions to equations in the padic integers (rationals)
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Graduate Infinite-dimensional vector spaces and their bases
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Graduate Isomorphism of Hom_K(V,K) and Hom_K(V⊗V,K)
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Graduate Every nonzero vector space can be viewed as a space of functions
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Graduate Spaces of continuous functions and Wronskians
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Undergrad Why does commuting matrices have same eigenvectors?
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Graduate How to find vector coordinates in non-orthogonal systems?
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Graduate Sum over primes asymtotics
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High School Elaboration on matrix operations.
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Graduate Prime Factorial Conjecture: Investigating p! Mod p2 for Prime Numbers
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Graduate How Can Optimal Bounds for Sum of Reciprocals Between Two Numbers Be Determined?
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Graduate Is the Goldbach Conjecture part of a larger pattern?
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Graduate Is a Cayley Table a Reliable Indicator of a Finite Set Being a Group?
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Graduate Is the Proof for Rank(T) = Rank(L_A) Correct?
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Graduate Why Is There an Isomorphism on Sets If They Lack Algebraic Structure?
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Graduate How to Prove the Limit of a Logarithmic Function Ratio?
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Graduate Hensel's lemma (Understanding it's Proof)
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Graduate Division algorithm in A[x] (A NOT a field)
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Graduate Is Pi More Complex than E? Insights from Number Theory
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High School Rational Numbers: Is Any Whole Number a Rational?
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Graduate Is the Twin Prime Conjecture Finally Proven? A Scientist's Perspective
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Graduate Product of reflection matrices without eigenvalue 1
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Graduate What Matrix is This? References for Structured Matrix
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Undergrad Determinants By Row Reduction/Row Echelon Form
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Graduate Can a New Formula Factorize Large Prime Products in a Single Step?
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Undergrad Anyone know how to solve a quintic or quartic?
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Graduate Do I Understand Parametric Equations for Lines and Planes Correctly?
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Graduate Quadratic forms with p-adic coefficient
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Graduate ALL TITLE:Is k[x^2,x^3] a Dedekind domain?
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Graduate Sequence of integers and arithmetic progressions
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Undergrad Is a Matrix Invertible in Modular Arithmetic if det(A) and n are Coprime?
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Undergrad Understand Vectors: Math Made Simple
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Graduate Finding Coefficients for Simple Partial Fraction Formula | Mathematica Help
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Graduate Understanding Tensor Products: From Dyads to Triads and Beyond
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High School Integral solution to pi numeric result
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Graduate Solving Rational Dependence in Vector Spaces
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High School What is the concrete meaning of the imaginary number i in math?
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Graduate Explaining the Transitivity of SU(n) Action on U(n)/O(n)
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Graduate Is NH Always a Normal Subgroup of G When N and H Are Normal Subgroups?
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Graduate Compact Operators on a Hilbert Space
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Graduate Is There a User-Friendly Program for Checking Radical Ideals in Polynomials?
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Graduate What does Up to Isomorphism mean?
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Graduate Are Unitary Transformations Always Linear?
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Undergrad Is Row Echelon Form an Upper Triangular Matrix?
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Graduate What is the relationship between det(M) and det(X+iY)?
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Undergrad The square root of a 2x2 matrix
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Undergrad Plotting T2 and T1 with Variable q: Tips for Graphing Equations
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Graduate Is Squaring an Equation Adequate for Proof in Analysis?
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Graduate Is A/B' = A/B a Sufficient Condition for B' = B in Abelian Groups?
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Graduate Struggling with Linear Algebraic Groups? Need help finding simple examples?
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Undergrad Can you give me a least squares example?
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Graduate Prove Existence of Real Invertible Matrix Q for A & B 2x2 Similar Matricies
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High School Tips and tricks for finding determinant of 3x3 matrix?
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Graduate Subspace of A and a matrix formed by row operation
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Graduate Linear Algebra Proof, Is it correct?
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Graduate Cauchy -schwarz inequality help
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High School Need something solving PROBLEM AHOY
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Graduate Can Randomness Be Proven in Sequences of Numbers?
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High School Solve Linear Equation for Extra Credit: f(x+a)=f(x^2+a)
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High School LCM Proof: Check My Work and Find Errors | Easy Method
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Graduate Solution to an eigenvalue problem ?
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Graduate What is the significance of duality in vector spaces?
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Graduate Invariant Subspace: Understanding Definitions
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Graduate Is Every Element in a Finite Commutative Ring a Unit or Zero-Divisor?
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Graduate Need material to study Galois theory
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Undergrad Easy way of checking for matrix invertability?
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Undergrad Silly Matrix Algebra/Regression Question
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Undergrad Are Cyclic Groups with x^n = 1 the Only Finite Groups?
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What is the deal with this theorem? does anyone have any attempted
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Graduate Understanding Halmos's Definition of Tensor Product of Vector Spaces
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Undergrad Physical interpretation of a determinate?
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Graduate Solutions of a particular equation
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Undergrad Is the Range of a Countable Function also Countable?
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Undergrad Proving Invertibility of a Matrix: Ax=e1
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Graduate Dirichlet Inverse: Find G in Terms of F
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Undergrad Need help testing vector separation.
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Undergrad Reduced row echelon form question
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Graduate Diophantine equation x^4 - y^4 = 2 z^2
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Undergrad Is direct product of subgroups a subgroup?
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Graduate Question about monoid (Grothendieck's) group-completion
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Graduate How to probe the group SU(2) is simply connected?
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Graduate Isomorphisms and Actions: Can a Bijection Preserve Group Actions?
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Graduate Fields: Characteristic 0 and Beyond
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Graduate A,B similar <=> Rank(A) = Rank(B)?
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Graduate Question on group actions on vector spaces
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Graduate Understanding the Euclidean Algorithm for Finding GCDs in Q[sqrt 3]
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Undergrad Simple Linear Algebra (determinant invertibility)
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Undergrad Proving Non Singularity of Square Matrix is Necessary for Invertibility
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Undergrad How Do I Factorize Large Polynomials by Hand?
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Undergrad Quick question about free variables
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