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.
Finite Prime Ideals in Noetherian Ring - Atiyah-McDonald
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Dual basis and differential forms
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Anyone have any suggestions on books on chebyshev polynomials?
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Where Can I Find a Good Reference Book on Group Theory in Physics?
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Efficiently Solving Large Equation Systems in Particle Penetration Calculations
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Can Kummer Extensions of p-adics Prove a Contradiction?
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Is the Series Sum of Cubes Necessarily Convergent?
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Elegant Solution for the Snooker ball Problem
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Condition for a matrix to be Positive semi-definite
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Relatively Prime Quadratic Integers
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Riemann Hypothesis and Quantum Mechanics
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True Randomness - What Does it Mean?
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Understanding Additive Factor Group Q/Z
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Relationship between determinants and basis formation
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Finite Dimensional Inner-Product Space Equals its Dual?
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What's the difference between complex numbers and vectors?
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Proof of Basis Rep Theorem: Let n=a_0k^s+...+a_tk^t
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Can a Quintic Polynomial be Factored Using a Nonlinear System?
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Calculating the position of the 'other' focus point of an orbit
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How can the Langford-Skolem problem be solved?
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Could this be a demonstrtion of following lucky strikes?
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How Do You Apply the Alt Operator to a Differential 2-Form in R^4?
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Determinant of a symmetric matrix
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How Do You Derive the Least Squares Solution in Linear Regression?
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I'm curious about a number series
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Semilinear Transformation, Kernel
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Rotations in spherical coordinates
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Theorem about p-groups, similar to 3rd Sylow Theorem
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Fermat's Last Theorem - Exponent Three
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Why is T* the definition of an adjoint operator in functional analysis?
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Proving Group Equality for Normal Subgroups
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Proving Frobenius Norm of Matrix A
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Is y'' = y solvable by using a homomorphism and understanding its kernel?
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Find all solutions to 3^a - 1 = 2b^2 - B.M.O. problem
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Testing Change of Basis in Linear Operator
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Coordinate System Transformations
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What am I doing wrong with finding the equation of this plane?
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Cholesky decomp vs A = L'DL decomp.
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Finding determinant with upper triangular matrix
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Linear Algebra Help for Norske-Norske Petrol Company
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Dimension of 7x7 Matrices w/ Zero Trace: 48
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Is there more than one possibility for eigenvectors of a single eigenvalue
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Null Space and Eigenvalues/Eigenvectors
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The VERY last part of finding an eigenvector
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How can I accurately continue the zeta function to the entire complex plane?
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Riemann Hypothesis: Explaining \zeta(s) & Diagrams
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Existance of solutions to set of quadratic equations
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Help with 3 proofs (integers/diophantine equations)
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General Questions on Polynomials, Vectors, and Matrices
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Extracting yaw, pitch, roll from transformation matrix
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Proving a solution exist? (mod p)
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Measuring how similar to a parallelogram
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Visualizing the Dot Product Inequality of a, b & c in R^d
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Divisibility rules using sum of digits
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Metric that isn't translation-invariant?
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Computeing the coordinate vector
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Why Are 3x3 Systems with Arithmetically Increasing Constants Always Infinite?
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Finding A Matrix, given eigenvalues, and eigenvectors
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What does the notation S_4(2) mean?
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Similarity Transformation of Matrices: Decide w/o Eigenvectors
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What is the composition of T and T in terms of linear transformations?
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Derivatives of functions with matrices
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Cross product order of operations
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How Do You Find the Modular Multiplicative Inverse?
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How Can You Determine Roots of a Quadratic in Any Field?
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Can someone tell me what this is called?
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Question about order of an element
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Finding matrices with very specific properties
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What is an Image in Abstract Algebra?
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Help proving gcf(a,b) = gcf(a-b,2b-a)?
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Can X^4+nY^4 Always Produce a Prime Number?
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Using the First Isomorphism Theorem
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Which Positive Integers Can Be Written as x4 + 4y4 to Form Prime Numbers?
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Testing the Usefulness of Prime Number Test
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Prove PGL(V) Acts 2-Transitively on P(V) Projective Space
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Here f:Z36 to Z4 x Z9 is group isomorphism given by f(n+36Z)= (n+4Z,
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Shilov's Linear Algebra determinant notation.
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Orthogonal Matrix: Properties & Conditions
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Is (2^(p-1)) * ((2^p) - 1) a perfect number if (2^p) -1 is prime?
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Proving Sum of Two Primes is Never Twice a Prime
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Exponential of nonconstant matrix
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In how many ways can I write n as a sum of integers?
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Inverse matrices with scalar multiplication.
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Unique representation in graded modules
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What is the meaning of \textbf{nn} in matrix multiplication?
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Convolution with a normalised function
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Can you Prove that {2}_{}an+1 = _{}an _{}an+2 =(-1)n for the Fibonacci series?
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Is there a formula for calculating the derivative of the largest eigenvalue?
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Position-Space Kinetic Energy Operator: Does Representation Matter?
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The Tetraktysal Kissing Triangle (TK_n) & Lower Bounds of Kissing Numbers to D=10
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Understanding the Limitations of the Projection onto a Subspace Equation
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General form of an inner product on C^n proof
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I don't know how to make a thesis, how to present it, and my
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Proving Double Inner Product of Derivative of 2nd Order Tensor w/ Another
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Question about inner product spaces
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How to Find a Basis for W in P4[x] Using the Gram-Schmidt Process?
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Group action on cosets of subgroups in non-abelian groups
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DIVISIBILITY CONGRUENCE question
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Category Theory Used in Physics.
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I tried with comparing highest exponents
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