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.
Proof of Infinite Cyclic Group Isomorphism to Z
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How Do Quotient Spaces Relate to Periodic Boundary Conditions in Mathematics?
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Can isomorophisms be really random?
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Fast Test for Semiprimes: Deterministic or Probabilistic?
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Can linear least squares be used for inverse function approximation?
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What is the correct method for transforming a matrix to a new basis?
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Can I Use Linear Algebra to Prove the Equation det(AB) = det(A) det(B)?
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Distributive Properties of the Determinate
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Why Does a Subset of a Vector Space Need the Zero Vector to Be a Subspace?
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Linear Algebra in Physical Science and Engineering: Theory and Applications
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Proving Vector Space of F[x]/(g(x)) with Degree n
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Is 1 considered the zero vector in this scenario?
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Solving Linear Algebra Problem: Eliminating p_2 with Diagonal D
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Why Do Solutions Sometimes Differ from Absolute Values?
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Linear Algebra: need suggestions for learning
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Is the Real Number Set Countable with a Special Function?
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Zero product property for integers
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MIT OpenCourseWare Linear Algebra
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What is the role of the Axiom of Choice in algebraic structures?
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Constructing a Stiffness Matrix for Research on Rat Scoliosis
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Inner products, operators, equality
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Proving 0v=0 using only the 10 Axioms
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Irreducible reps of maximal tori
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196-Algorithm (palindromic numbers)
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Understanding Coset Representation and its Role in Group Theory
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Problem Dealing with Digit Cycles
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Can 2z^n(z^n + x^n + y^n) Ever Be a Perfect Square for Prime n Greater Than 2?
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Conjecture on triangular numbers T(n)
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Group Theory-solution to polynomial equations
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What are the v_j vectors in Cahn's representation of the Lie algebra of SO(3)?
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Help with Proof: GCD(a,bk) = GCD(a,k)
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Solving Galois Group Problem Q7: Step-by-Step Guide
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Prove a few theorems about vector spaces using the axioms
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Why Use a - b Instead of a + b in Equivalence Classes of Rings?
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Can a Direct Proof Show That 1-A is its Own Inverse?
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What is the value of this finite sum?
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Vector spaces + proving of properties
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Lie Groups and Algebras: Proofs and Potential Errors
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Is there a relationship between remainders and positive integers?
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Puzzling Equation: x^y=y^x - Are There Solutions?
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Problem on linear independence and matrices
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Is Cubing a Permutation in Zp for Primes Equivalent to 2 Mod 3?
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Derivation of Euler's formula for phi(m)
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Finding Solutions for 2^k=n in $\mathbb{Z}/p$: Suggestions?
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Proving feasibility of convex linear combination in LP problem
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Is There a Faster Way to Find Conjugacy Classes in Group Theory?
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Help me construcing finite field,
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Can Multilinear Maps Be Represented with Matrices?
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Understanding the core idea behind determinants
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Quaternions or Vectors: Which is the Better Choice for Electromagnetism?
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Cutting equal numbers of different length pieces from a known length
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What groups have exactly 4 subgroups?
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Is the A_n Group the Same as the Dihedral Group D_n?
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Can there be a largest prime within the concept of infinity?
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Partitioning Problem: Solving for Pairs & Triplets
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How to Solve the Tough Diophantine Equation?
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How Can I Understand the Representation Theory of Lie Algebras?
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Need help with easy linear algebra proof
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Transforming Simultaneous Equations into Simplified Form for Easy Solving
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If X divides YZ, T divides XY, write OT as linear comb. of OX & OY
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Vector Space Algebra of Minkowski Space
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De Moivre's Theorum and Double-Angle Formulas
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Dot product cross product, where did they come from?
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Why Isn't the Inverse of My Fundamental Matrix Correct?
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Is Showing the Uniqueness of Highest Weight a Valid Proof of Irreducibility?
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Rank of Matrices: Why Equal to Transpose?
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Proving Divisibility of n by 6: A Simple Guide
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Free Vector Space Explained: Geroch & Matheinste
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Is there a connection between row reduction and linear maps?
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Show Equal Sums in Subset of {1,2,...2048} w/ Size 15
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Can someone help me prove a^2+ab+b^2=c^2 for a 120 degree triangle?
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Prove a^2 + b^2 = 3(s^2 + t^2) implies both a and b must are divisible by 3
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Can Injectivity of a Matrix Guarantee a Left Inverse?
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Matrix Equations: Solving for a, b, c, and d | Elementary Linear Algebra Help
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Linear Transformation to Shrinking/Expand along a given direction
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Proving the Continuity of Projections in Vector Spaces
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Finding Integer Solutions for y^2 = x^3 + n
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What is the Inverse of an Element in Free Vector Spaces?
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Eulers and Fermats Theorems Help
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Negative-definite inner products
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Identifying elements in V(x)W, V,W V.Spaces
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How Do You Solve Group Ring Isomorphisms in Mathematics?
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Given a real nxn symmetric and non-positive definite matrix,. .
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Finding a Subspace W of R^4 for Direct Sum V(+)W
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I'm trying to prove that a linear map is injective
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Is Every Integer in the Decimal System Divisible by 5?
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Prove the Irrationality of the Golden Ratio & Phi
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Help Diagonal matrix similar to upper triangular matrix?
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What are the possible values of the determinant of an orthogonal matrix?
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What Is the Linear Property of Determinants?
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Find Dimension of Nullspace A with Basis Calculation
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Order of 2x2 matrix group under mult. mod p
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Counterexample so that (ab)^i=a^ib^i for two consecutive integers
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Remember Isomorphism Theorems: Intuition Guide
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Vector spaces, Spans and Matrix Determinants
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What Do Homomorphisms on Rings Really Mean?
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Counterexample for an alternate definition for a group
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Galois and Klein 4: Isomorphic or Cyclic?
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Matrix algebra over finite fields
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Least amount of structure for vector space.
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