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 Physical Intrepretation of cofactors
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Graduate How Does Graduate Math Differ from Undergraduate Algebra?
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Undergrad How can you simplify the quadratic formula using completing the square?
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High School A logical (and simple) explanation for (-1*1=-1)?
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Undergrad How to define the new vector in my case?
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Graduate Understanding the Confusion: Tensor Product vs. Dyadic Product for Vectors
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Undergrad Would does it mean to say that two matrices or functions are
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Graduate Properties of the super-golden ratio?
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Graduate What Is the Physical Significance of the Norm of a Function in a Vector Space?
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Undergrad Eigenvalues and eigenvectors of a matrix
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Graduate Integral of the reflection operator in arbitrary symmetric spaces.
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Graduate Why Are 10-adics Not a Field?
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Undergrad Physics of Roulette: Spin, Friction, Wind, Momentum, Bounce
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Graduate What Does the Homomorphism from Z[x] to Z[i] Reveal About Its Ideals?
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Undergrad What is positive and negative eigenspaces? Can you recommend me a
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Graduate Prove a=0 for Ring Theory Question with m,n Positive Ints
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Graduate Why E's representation marix is unit matrix
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Graduate Collatz Conjecture - Bouncing Ideas
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Graduate What is the solvability condition for the matrix equation A_1x_2 = A_2x_1?
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Graduate Powers of a superdiagonal matrix
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Graduate Understanding the Linearity Test for Inner Products
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Undergrad Where are the irrational numbers?
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Undergrad Goldbach's Conjecture (Theorem?)
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Undergrad Is the column space of a matrix always a full span in practice?
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Graduate Director product expansion of Lie groups.
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Graduate Is Group Decomposition Unique in Semidirect Products?
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Undergrad Matrix Dot Product: Solving Linear Algebra
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Graduate How Does the Cyclic Decomposition Theorem Simplify Matrix Analysis?
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Undergrad Question about projections and subspaces
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Undergrad Classic problems about parity property
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Graduate Determinant Identity for A-B and B A Matrices
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Undergrad Can a Singular Matrix Always Find a Partner Matrix to Result in Zero?
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Graduate Groups of order 21 (Need help understanding an inference)
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Graduate What puts the analysis in analytic number theory?
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Undergrad A question about fourier analysis
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Graduate At what point do the sums of the reciprocals converge?
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Undergrad Debating the Validity of the Inscribed Hexagon Theorem
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Graduate What Is the Multilinear Eigenvalue Problem Called?
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Graduate Group Homomorphism: Definition & Examples
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Graduate Finding Solutions for x12+x22=1 on Finite Fields Zp using Prime Number Algorithm
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Graduate Reconsidering Pi: Examining the Controversy Surrounding its Accuracy
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Graduate What is the Relationship Between Vectors and Newton's Second Law?
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Graduate How do primes come out of Peano arithmetic?
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Graduate Tensor transformations for change of coordinate system
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Graduate Is There a Limit to the Number of Elements in a Coproduct/Direct Sum?
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Undergrad Why the roots of Eq. x^2 + a*x + b = 0 and of Eq. x + a*Sqrt[x] + b =
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Graduate Group Isomorphism: Proving f: Us(st)->U(t) is Onto
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Undergrad Minimum Absolute Value of a nxn Matrix Determinant
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High School Solve Tricky Sequence: 1,2,3,4,5,8,7,16,9
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Graduate Proving a set of derivatives to be a subset of real functions
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Undergrad Shortcut method for order 4 and above.
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Undergrad An efficient way to find perfect squares?
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Undergrad Proving a set to be a vector space,
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Undergrad Determining the Number of Invertible Elements in Zn
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Graduate Is Every Complex Matrix Similar to Its Transpose?
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Undergrad Galois Theory Intro Cut Short - Seeking Resources
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Undergrad True or false eigenvalue problem
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Graduate Bilinear Forms associated With a Quadratic Form over Z/2
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Graduate Solution to System with Unknown Variables n > 4
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Graduate How can I find a basis for the span of some eigenvectors?
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Undergrad Condition number of a matrix is 1 but determinant is almost 0
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Graduate Counting continued fraction numbers
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Graduate Grothendieck decompostion simple example
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Graduate External direct product- homomorphism
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Graduate Additive Prime Numbers: Is There Anything Known About them?
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Undergrad Can't get my head into vector spaces and subspaces
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Graduate Nonzero R-Module over commuttaive ring, all submodules free => R PID?
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Graduate Why Is Proving the Infinity of Fibonacci Primes So Challenging?
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Undergrad Proof of the Possibility of Division
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Graduate Rings as Algebras: Definitions & Questions
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Graduate Wiles Proof of Fermat's Last Theorem
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Graduate Understanding Graham's Number: A Comprehensive Guide
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Graduate Ellipsoid algebra: converting forms
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Undergrad Spherical Vector Addition Process
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Graduate Can Least Squares be Applied to Matrices for Solving a Complex Equation?
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Undergrad Notation in linear algebra and rule for square of matrix norm
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Undergrad Number Theory, Linear & Abstract Algebra
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Graduate Finite-Index Subgroups of Infinite Groups.
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Graduate Confused about the concepts of dual spaces, dual bases, reflexivity and annihilators
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Graduate Question on maximal ideals in an integral domain
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Undergrad Why cant i learn linear algebra?
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High School Why do vector multiplications result in different types of quantities?
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Graduate Difficult linear algebra problem
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Graduate Composition of permutation cycles
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Graduate |a+b| = |a| + |b| implies a and b parallel?
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Undergrad How can a column vector be transformed into a diagonal matrix?
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Graduate Finding rotation matrix with given new and old frame
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Graduate Understanding Tensors: Comparing gαβAβ and Aβgαβ
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Undergrad Examining the Taylor Series - Confused?
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Graduate Dirichlet's Theorem on Arithmetic Progressions
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Graduate Why is the number of fixed points divisible by p in Cauchy's Theorem proof?
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Graduate If x and y are parallel, then ha = b?
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Undergrad Matrix Multiplication and Rank of Matrix
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Undergrad Modern Algebra & Real Analysis: Learn Proofwriting?
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Graduate Finding Area Under a Helix: A Stumper Problem
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Graduate The proof that an odd perfect number does not exist
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Graduate Matrix multiplication preserve order Block matrix
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Graduate Existence of Roots for Quadratic Forms Modulo Prime Numbers
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Graduate Orthogonal Basis in 3d is flipping.
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Graduate What is the Connection Between Rank and Free Modules?
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