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.
MHB Equation of Plane after Coordinate Transformation
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Proof of square root 3 irrational using well ordering
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Is the Term Vector Space Misleading Without Magnitude and Direction?
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Regarding transpose of matrix products
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How is rotation mathematically defined beyond the rotation matrix?
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What Is an Affine Space? Explained in Detail
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Finding roots to a recursively defined polynomial of degree n
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Mahalanobis Distance using Eigen-Values of the Covariance Matrix
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How Do Generators {2, 3} Form Z6?
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MHB Tensor multiplication 3 dimesnsions
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How Can We Achieve the Tensor Product of Two Vector Spaces?
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Finding an Idea for Exercise: Let's Explore Vector Spaces!
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What does the Eigenvalue of a linear system actually tell you?
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MHB Indicial notation - Levi-Cevita and Tensor
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MHB K-Algebra - Meaning and background of the concept
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Narcissistic/Plus Perfect/Armstrong
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K-Algebra - Meaning and background of the concept
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Is Multiplication Defined in This Field Sufficient for ℂ to be a Field?
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Rotation,angle of vector from axes ?
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MHB How to Expand and Simplify the Expression of Kronecker Delta?
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Algebraic structure of Dirac delta functions
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For the transposition (i j)(k), this is what I have in my
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Semidirect Product Page 5 - Honors Brown
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Group Actions: Prime Divisors & Smallest Prime | Dummit & Foote
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MHB Communitative ring, map R / ( I /\ J) -> R/I x R/J
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Question on Lie group regular actions
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MHB Indicial Notation: $\mathbf{v}\cdot\mathbf{v} = a^2b^2\sin^2\theta$
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Solve Mysterious Number Sequence Puzzle
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Show Injectivity of Mapping y=Ax for Finite Alphabet w/o Search Algorithm
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When is the kernel of a linear operator closed?
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What Is an Example of a Matrix Norm?
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How can I use different angles in linear algebra rotations?
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MHB Is Statement 3 Correct Concerning Non-Invertible Matrices in Linear Systems?
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L2 norm for complex valued vector
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Is Linear Independence Correctly Applied in These Examples?
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Linear combination of linear combinations?
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MHB Which one of these statements is wrong ?
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MHB Matrix representation of T with Basis B?
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Can You Explain the Relationship Between a Basis and Its Dual Basis?
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MHB Solving an Unsolved Math Problem: Ring A & Polynomials
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Matrix trace minimization and zeros
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MHB Indicial Notation 2: Proving $\mathbf{a}\times\mathbf{b}\cdot\mathbf{a} = 0$
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MHB For which values of k the matrix is diagonalized ?
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How to calculate rank of 2 by 1 matrix?
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Solving a system of 3 nonlinear equations
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Is the Empty Set a Vector Space?
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Abstract Algebra - Natural Numbers Proof
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MHB Solve Autoregressive Model Problem
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Question about SO(N) group generators
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Free R-Module Basics: What is a Copy of R?
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Generalized Associative Law for Groups
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MHB Technical problem with eigenvalues
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MHB Prove that this matrix equation has no roots
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MHB Vector Proofs: Constant Magnitude and Orthogonality in Finite Dimensional Spaces
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A question about invariant factors
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Nagging Math Ques #1: 'Pseudo-Inner Product'
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Mersenne Primes: Identifying & Eliminating Non-Prime Numbers
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Why Does a Singular Matrix Imply Infinite or Zero Solutions?
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Understanding generating sets for free groups.
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Is there a relationship between odd composite numbers and their factors?
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How Do We Prove Something is a Submodule?
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What is the difference between a vector field and vector space?
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Inverse of a Matrix - Understanding Why We Note Relatively Prime Expressions
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An optimization problem worthy of our attention
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Do Galois Theory Applications Influence Physics?
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Can a topologically bounded set in a tvs contain a ray?
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Is the set of prime pairs (p, p+2) finite?
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MHB Prove there exists a matrix with certain entries and determinant
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MHB Linear Dependency: Find x for a,b,c in R3
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Can Different Access Patterns Improve a Matrix's Condition Number?
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MHB Linear Dependence of Vectors Spanning a Space: Example Needed
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Number of unique ways of stacking n blocks
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New to Linear Algebra: Confused on Reduced Row Echelon Form
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How do I properly set up the matrix for polynomial regression?
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Questions about Proving R/I is not the Zero Ring
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The Spectral Theorem in Complex and Real Inner Product Space
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A Few Numbers With Strange Qualities
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Some technical questions about spans and bases
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Understanding 3x3 Matrices: An Overview
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Rank of a matrix and max number of missing values
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Transition Matrices: Solving X[T]X & T(v_1)=v_2
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Why do we choose to have perpendicular axis?
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MHB Question about Linear Dependency
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Complexity of a quadratic program
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MHB Linear Dependency: Proving Vector Independence in V
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Minimum table size to contain combinations 000 to 999 in adjacent squares
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How can matrices be used as a basis for linear mappings?
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Finding the Equation of a Plane in R3 Using Intersection Points and Distances
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What is the proof of this theorem in Vector Spaces ?
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New idea about Integer Factorization
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What Is a Pseudo-Orthogonal Matrix?
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Understanding 2-Transitivity in Multiply Transitive Groups
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Finite Difference Method, Leapfrog (2,4) CFL Condition
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General algorithm for a magic square
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If V is a complex inner product and T is an operator on V such that <Tv,v> = 0
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Proving Diagonalizability of Adjoint Operator on Finite Inner Product Space
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MHB Automorphism of order 2 fixing just identity. Prove that G is abelian.
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MHB Proving the Inverse of the Adjoint Matrix Property for nxn Matrices
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Can m(m+1) Equal kn for Natural Numbers m, k, and n?
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Inner Product Space of two orthogonal Vectors is 0 , Is this defined as it is ?
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