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.
Graduate What fields of number theory do I need to learn to understand Wiles' proof?
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Graduate Why Can't a Module Have Finite & Infinite Basis?
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Undergrad Why is matrix multiplication necessary for representing linear transformations?
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Undergrad Where Can I Find Lattice-Theory Exercises for Beginners?
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Undergrad Bases, Invertibility and Injectivity Query
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Undergrad How is the dot product used to find perpendicular lines?
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Graduate Can we reach all the irrationals?
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Graduate Transforming a 6x6 stiffness matrix
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Undergrad Strang's book, question about exercise
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Graduate What is the derivation of the character formula for SU(2) representation?
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Undergrad For vector AB, how to find vector B given vector A and the angle between
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Graduate How Do Cosets in the Gaussian Integer Ring Relate to Its Ideals?
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Graduate What do the directions of eigenvalues represent?
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Undergrad Composition of Linear Transformation and Matrix Multiplication2
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Undergrad Solving a linear set of unknown Vectors
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Graduate Topological properties on Linear spaces
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Undergrad Can Vector Spaces be Considered Spans?
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Undergrad Reasons why infinity hasn't been implemented into modern math
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Graduate Do Algebra Representations Impact Theoretical Physics and Pure Mathematics?
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Graduate A nonlinear system of algebraic equations
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Graduate Finite abelian group of size p-1
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Undergrad How do I convert a parametric equation to cartesian form for calculus analysis?
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Undergrad Are Elements of Z/60 Invertible Based on GCD with 60?
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Graduate Computer Vision, Corners and Eigenvalues
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Graduate Order of 3 modulo a Mersenne prime
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Graduate Is the Tensor Product of SU(2) Representations Reducible?
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Graduate Various proofs I just want to verify
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Undergrad Coordinate Transformation - velocity?
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Undergrad Solving the Prime Numbers Problem: Proving p=q with p and q as Prime Numbers
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Undergrad Map vector A onto line l would that mean the projection of A
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Graduate Quartic with complex coefficients
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Undergrad Surjective Function: A to B Mapping
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Graduate Math Physics: Kronecker Delta Fn in Cylindrical/Spherical Polar Coords
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Undergrad On proving real vector spaces (subspaces)
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Undergrad Surjective Function: A to B Mapping
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Graduate Optimizing a Linear Function with Constraint: A Tutorial on Lagrange Multipliers
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Undergrad Dot product for non-orthogonal co-ordinate systems
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Graduate Nilpotency of Matrix with one eigenvalue
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Undergrad Invertible Matrix A & B: True Formulas
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Undergrad Can You Find Matrices B and C Where AB = AC but B ≠ C?
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Graduate Whether the morphism has special name
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Graduate What is the minimal subgroup that contains two arbitrary subgroups?
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Graduate Some help with a continued fraction?
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Undergrad Factors of product of n distinct primes
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Undergrad Why is the formal derivative of a polynomial important in algebra?
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Graduate Exercise 56 in chapter 1 of Lang's algebra
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Undergrad I still don't quite get the idea of subspaces, span, and range
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Graduate Inverse (LS) problem for binary data
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Graduate Union of subspaces of a linear space
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Graduate Determine whether or not something is a subspace
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Graduate Proving Normality of [G,G] in G: A Commutator Question
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Graduate Most Unreliable Technique in the World to compute pi
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Graduate How can I convert this grammar into a normal form?
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Graduate Linerization of non-linear models
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Graduate Is There a Specific Name for This Endomorphism or Subset?
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Graduate A simple question about isomorphisms
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Undergrad Are prime numbers truly unpredictable?
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Undergrad Are these statements TRUE or FALSE and why?
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Graduate Proving Injectivity and the Identity Map for Finite Dimensional Linear Maps
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Graduate How Can Subgroups Be Defined in Universal Algebra?
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Undergrad Proving Linear Independence: Vectors in R^5 and Their Span
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Graduate Analysis of A-Module Endomorphism \phi: Understanding Kronecker Delta Function
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Undergrad Linear Algebra: Finding the Inverse of a Matrix
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Graduate How to formalize this unary operation?
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Undergrad Really quick question on linear spans
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Graduate What is the meaning of det V and det V* in Generalised Complex geometry?
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Undergrad Linear algebra question about matrices
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Graduate How Can Equation (13) Be Converted into the Matrix Form Ax = B?
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Graduate What Is the Order of \(a*b\) Given the Orders of \(a\) and \(b\)?
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Undergrad Can a Function be Composed with Itself to Solve a Differential Equation?
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Graduate Are Binomial Coefficients and Fibonacci Numbers Related?
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Graduate What do we call the function in this diagram?
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Graduate Levi-Civita Tensor: Index Interchange Identity
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Undergrad Silly question, could use some assistance
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Undergrad Algorithmic Complexity and Big-Oh notation
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Undergrad What is the subspace spanned by a single vector in function space?
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Graduate How Many Involutions Can Be Defined in the Set of Real Functions?
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Undergrad Can Cosine Affect Whether Three Nonzero Vectors Must Lie in the Same Plane?
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Undergrad Give a good explanation of determinants?
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Graduate Solving Prime Algorithm Unit Circle on Zp - Complexity?
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Graduate Understanding the Simplicity of Tensor Products: Bishop and Goldberg's Approach
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Graduate What Metrics Can Be Defined on a Symmetric Group Beyond the Discrete Metric?
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Undergrad Mapping a Vector to a Vector Preserving Operations
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High School Good linera algebra books for beginners
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Graduate Understanding Zeros of the Riemann Zeta Function
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Graduate Predicting the Next Term in Recursive Derivatives Series
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Undergrad Finding the Sin of an Angle Between Two Vectors
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Graduate Building Projection Matrices from \delta_{ij} and M_{ij}
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Graduate Understanding Direct Limits: $\mathbb{Z}\sqcup\coprod(\mathbb{Z}-2\mathbb{Z})$
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Undergrad Solving Equations of the Form Ax - By = 1
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Graduate How Do Ideals Generated by Powers of an Element Relate in Commutative Rings?
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Undergrad What Are Wyckoff Symbols and How Are They Used in Identifying Atomic Positions?
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High School Can both of this vector combine become the following matrix?
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Undergrad Integer Representation Through Multiplication of Integers
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Graduate What Does It Mean When Col A Is a Subspace of the Null Space of A?
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Undergrad Solving a Systems of Linear Equations and Matrices Problem
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Graduate How to Determine Galois Groups and Subfields?
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Graduate Orthochronal subgroup of the Lorentz group
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Undergrad Transforming a 3D vector using matrix
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Graduate Finding Splitting Field of x^4-2: Q[x] vs F_5
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