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.
Linear Algebra HELP: Closest Vector to v in R^4
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Is <Z,+> with <Z,+> a valid isomorphism? Why or why not?
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Solve Matrix Hyperplane: Find A & B | Please Help!
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Prove Beta is an isomorphism of groups
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Nullspace and Column Space Question
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What is the group of automorphisms of S_3?
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Eigenvalues Problem: Show Inverse of Diagonalizable Matrix A
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How Does Euler's Formula Lead to e^(iπ) = -1?
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Number of Elements of Order 5 in S7 Permutation Group
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How Do You Find Automorphism in a Group G?
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Existence of a Polynomial Divisor for Roots in a Field Extension
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Proving Finite Solutions of phi(x)=n for Fixed Integer n
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Write the system in equation form?
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What Is the Relationship Between m, n, and x in the 3x+1 Problem?
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Finding the Basis for Repeated Eigenvalues: Explained
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Is There a Solution to the Equation A=x^b mod p?
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Prove Pythagorean Triples: 3k, 4k, 5k | Answer Yay/Nay
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What is the relationship between GCD, LCM, and relatively prime numbers?
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RSA Encryption: Finding Primes to Make Decryption Difficult
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What Is the Alphabetical Rank of Ought and Tough?
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Why Does [d/[n]^2] * n Find the Closest Point to the Origin on a Plane?
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Geometric Descr. of 1-1 Function from Square to Circle
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Column Spaces and Rank of Matrix Multiplication: Insights and Proof
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Is a Progression a Series or a Sequence?
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Group Actions on Sets: Understanding the Permutation Group S_3
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Are Non-Prime Numbers Affected by Reimann's Critical Line?
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Solving Equation ABXC = D with Matrix Inverses
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How Can a^r = 1 mod N Be Expressed Differently If a and N Are Coprime?
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Have You Discovered This Recursive Formula for Sums of Powers?
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Why is Perpendicularity in 2D and 3D Important?
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How to Deduce the Sum of Squares of Divisors from Canonical Representation?
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Solving AxB = (B-1A-1)-1: Inverse Matrix Proof
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Number of possible electoral college ties
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Coordinate transformation matrix?
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Solve Laplace Expansion Determinant -2a,-2b,-2c,2p+x,2q+y,2r+z,3x,3y,3z
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How Does Pi Squared Relate to Integer Pythagorean Triples?
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A primality test for Fermat numbers faster than Pépin's test ?
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Is the Matrix A with Entries aij=min(i,j) Always Invertible?
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Vector Operations in Polar Coordinates?
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Division theoryand Prime Number theory
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Generator redefined more rigorously
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Finding all solutions of Ax = y
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How Can Gram-Schmidt Prove dim(w)=dim(V)-1?
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How can we show that x^m is in a normal subgroup N of G if |G/N| = m?
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Prime Factorization of 49 + 39 - MathFest 2004
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Proving Triangle Midpoint Sum Equals Side Length Sum
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An Algorithm to find a Prime Decompisition
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What Does This Subspace Expression Mean?
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Got a bizzare question, appreciate any hints
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How Do Splitting Fields Relate to Each Other?
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Proving Invertibility of Matrices: A Small Difference Makes a Big Impact
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Solving a 4x4 Determinant for Math Projects
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What is the Basis for the Subspace V in R3 with the Equation x+2y+3z=0?
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How Do Prime Numbers Divide Factorials?
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How to Solve a Polynomial with Reciprocal Roots?
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How Can You Prove a Spanning Set Theorem Without Summation?
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Showing the Inclusion of Infimum and Supremum in the Closure of a Bounded Set
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Solve 6th Grade Sequence: 1,5,13,25,41,61
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Embarassing question about eigenvectors
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Question: Elements of Order 2 in Finite Abelian Group
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Question about finding the right inverse of a matirx
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Prove that Q under addition is not isomorphic to R+
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Efficiency: prime test vs prime generator
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Can a Semigroup with Finitely Many Elements and the Cancellation Law be a Group?
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How Can We Determine Convergence of A^n * b in Linear Algebra?
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Can a set of units in a ring form a group under multiplication?
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Clarification of Permuatation Question
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Generators of Modular Prime Systems
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Prove property of diophantine equation
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Is an Odd Order Permutation Always an Even Permutation?
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Projection of the vector (2,2,1) on the plane
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Solve Recursion Equation: (n-1)*a[n+1] - n*a[n] + 10*n = 0
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An interesting matrix identity problem
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Why Do Commuting Invertible Matrices Have a Unique Form?
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Embarassing question about eigenvectors
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Can Ax=0 Be Inconsistent? Solving Linear Equations with a Zero Constant
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Checking Solution for c1, c2, and c3=0
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Are Even and Odd Functions Orthogonal?
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Finding the Intersection Point of Two Lines in Vector Form
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Solving a Matrix Problem: Help Appreciated!
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Finding primes given a condition
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Finding the Inverse of Cubic Functions
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Why do orthogonal matrices have a specific number of independent parameters?
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What Are Multi-Dimensional Vectors?
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Understanding Matrix Powers: Explained for Linear Algebra Students
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Tension Vectors - Grade 12 Algeo
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Trouble w/ Lemma: Nullity U Ignored in Finite Vector Space
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What is the Composition Calculation Method for External Direct Products?
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How Do Permutations Like (a, b)(b, c) Result in (a, b, c)?
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Understanding Permutations: Transpositions, Compositions, and Order Explained
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Is SL(2,Z3) the Only Group with 24 Elements?
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How many elements of order 5 are in S7?
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What are the range of values of k for the equation (k+1)x^2+4kx+9=0?
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What is the proof for triangle ABC with known sides and angle relationships?
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What Are Vector Subspaces in Linear Algebra?
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How Does Number Theory Apply to Cryptography?
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Congruences, Fermats Little Theorm
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Is Every Group with Self-Inverse Elements Abelian?
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Arithmetic-geometric mean inequality
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Proving Induction Problem: P(x) is an Integer for all Natural Numbers n
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