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.
Solving Prime Algorithm Unit Circle on Zp - Complexity?
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Understanding the Simplicity of Tensor Products: Bishop and Goldberg's Approach
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What Metrics Can Be Defined on a Symmetric Group Beyond the Discrete Metric?
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Good linera algebra books for beginners
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Understanding Zeros of the Riemann Zeta Function
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Predicting the Next Term in Recursive Derivatives Series
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Building Projection Matrices from \delta_{ij} and M_{ij}
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Understanding Direct Limits: $\mathbb{Z}\sqcup\coprod(\mathbb{Z}-2\mathbb{Z})$
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Solving Equations of the Form Ax - By = 1
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How Do Ideals Generated by Powers of an Element Relate in Commutative Rings?
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What Are Wyckoff Symbols and How Are They Used in Identifying Atomic Positions?
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Integer Representation Through Multiplication of Integers
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What Does It Mean When Col A Is a Subspace of the Null Space of A?
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Solving a Systems of Linear Equations and Matrices Problem
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How to Determine Galois Groups and Subfields?
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Orthochronal subgroup of the Lorentz group
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Transforming a 3D vector using matrix
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Finding Splitting Field of x^4-2: Q[x] vs F_5
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Transformation matrix, vector algebra word problem
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Grander than the Riemann Hypothesis
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On the invertibility of symmetric Toeplitz matrices
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Answer: Lie Algebras: Adjoint Representations of Same Dimension as Basis
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Quandles are associated with knot theory
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How can you determine if a set of given vectors can span a subspace in R^n?
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Clock Design for Zeta Zeros Mechanic Calculator
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Can [F: F ∩ E] Differ from 2 in Quadratic Field Extensions?
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Points on an unit circle over finite field
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Symmetric Matrices to Jordan Blocks
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Matrix pseudo-inverse to do inverse discrete fourier transform
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Example of Kronecker Delta Identity in 3D Matrix R
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Proving ab|c: The Proof for (a,b)=1
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Why Do the Determinants of a Matrix and Its Transpose Equal?
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Is Every Ideal in a Ring the Kernel of a Homomorphism?
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Do Linear Space Properties Ever Fail in the Real and Complex Planes?
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Eigenvalues - real and imaginary
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Number of groups of a given order?
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Converting rational number to a new base.
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Understanding Exterior Algebra: Determinant from Wedge Product
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Dashed arrow and solid arrow in category theory
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Localization of Z: Understand What It Is
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Need to find eigenvector that corresponds to max eigenvalue
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Trace of a matrix equals sum of its determinants?
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Can a Basis for a Subspace Always Include Specific Elements of a Larger Basis?
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Dot product between Spherical and Rectangular.
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Homomorphism from Z into a nonabelian group
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Studying Geometric Algebra: Degenerate & Nondegenerate Forms Explained
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Laplace transform as a dual space
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Solving Complex Equations with x, y, z
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Vector subspace as the space of solutions to matrix multiplication
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What is the transitivity of the complex orthogonal group on generalized spheres?
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Matrix S^n: Generalizing Matrix Operations
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What the equivalence class suppose to be
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Why Do O(V) and SO(V) Have the Same Lie Algebra?
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Proving transpose(AB)=transpose(B)*tranpose(A) Help Needed
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Is there a version of Jordan-Hölder theorem for infinite composition series?
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Hubbard's & Hubbards Concrete To Abstract Function
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Difficult Question on Permutations
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Viewing Polynomials from k[x,y] as Elements of k[y][x]
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I'm already clueless about simple algebra word problems. Dreams = *POOF*
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Is Rank(TS) Always Less Than or Equal to Rank(T)?
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Linear independence and orthogonaliy
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Fermats little theorem on permutations
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Rot Matrix for nxn: Group of Rotations
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Dimension of U,V and W over K: Do they Equal?
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Trace and Determinant Relationship: Proving the Relation with O(x^2)
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Understanding Matrix Dimensions: Calculating Entries and Recognizing Symmetry
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Matrix Exponential Theorem: Proving Formally with Cayley-Hamilton
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Is {x+y(cuberoot of 3) + z(cuberoot of 9) | x,y,z is in Q} a Subfield?
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Explain an Orbit: Simple Definition & Example
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Factorization of Polynomials over a field
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Fast primality test for small numbers
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Minimal Invariant Subspaces: The Role of Orthogonal Linear Transformations
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Is 550 the Correct Remainder for the Sum of the Series in Modular Arithmetic?
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What is the relationship between p-adic and l-adic numbers?
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Understanding the Addition of Subspaces in Linear Algebra
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Challeng in simplifying the Grammer
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Why is M Torsion-free & Rank 1 but Not a Free R-Module?
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Where Can I Find Resources for Learning Linear and Abstract Algebra?
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Are Relatively Prime Numbers Always Coprime?
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How many fish were originally caught by Mr X in total?
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Rule of Division by 23: What is it?
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Matrix multiplication: Communicative property.
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How Are Lagrange Polynomials Computed and Proven?
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Complex Zeros in Riemann Zeta Function: Is it Possible?
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What Are the Key Questions About Inner Product Spaces?
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How can I prove the Riesz representation theorem?
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Is Abstract Algebra a Necessary Foundation for Mathematical Maturity?
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Elementary Row Operations - only need two?
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Is there a simple way to determine if an element is a primitive root modulo n?
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Rows that get zeroed out during elimination
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Is 0.9999... Equal to 1? Debunking the Myth and Understanding the Concept
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Correspondence between between tensor product and bilinear maps
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Divisor Function t(n): Proving $2n*(n)^{1/2}$
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Linear Dependence Check: [-1, 1]
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Show that Polynomials p0 to pn Form Basis of F[t] ≤ n
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Matrix of a Parabola? (It's my first day)
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Need help designing a model and using excel
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One-parameter subgroups and exponentials
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What Makes Natural Isomorphisms Important in Vector Spaces?
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Linear transformation and its matrix
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