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.
High School How do I improve my proof writing style?
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Undergrad Proving Commutator Identity for Baker-Campbell-Hausdorff Formula
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High School Question about finding the force using vector projections
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MHB Interval of eigenvalues using Gershgorin circles
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MHB Is f in the vector space of cubic spline functions?
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MHB LU decomposition: Total pivoting
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MHB Null Space of A: Find Rank & Dim.
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MHB What is the determinant of the identity matrix in a larger matrix?
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High School Is ##\mathbb{Z}_2## a Field Despite the Zero Multiplication Dilemma?
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Undergrad When is a subset a subspace in a vector space?
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MHB E1.4b Determinant with zero column
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Undergrad Proving the Orthogonal Projection Formula for Vector Subspaces
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Graduate Particle swarm optimization for matrix inversion
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MHB Verifying $\beta$ as a Basis of $\Bbb{R}^2$ & Finding $|v|_{\beta-}$
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MHB The decomposition for a symmetric positiv definite matrix is unique
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MHB Graded Algebra: Understanding Color Dirac Spinors in Space-Time
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Undergrad Determining if the system is consistent
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MHB Proving General Associativity for Group by induction
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MHB Proof the set with the multiplication is a group
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MHB Matrices of Linear Transformations .... Poole, Example 6.76 ....
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Undergrad How to Write a Matrix on a Webpage?
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MHB Determine vec {{x},{y},{3x+2y}} in R^3 form a vec space
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MHB Is This a Valid Vector Space with Unusual Operations?
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MHB Two versions of Gram Schmidt orthogonalization method
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Undergrad Can't understand a step in an LU decomposition proof
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MHB Matrix Addition: OK - No Examples Found
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MHB Is a Group Abelian if Inverses Commute?
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MHB Is the Kernel of Trace Equal to the $F$-Subspace of $V_\sigma$?
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Graduate Quaternions and Video Game Design
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MHB A and solution are known find B matrix
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MHB Can $[a] \times [b]$ be an element of ${\Z / n\Z}^{\times}$?
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Insights Lie Algebras: A Walkthrough - The Representations
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MHB Show that the tridiagonal matrix is positive definite
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MHB LR decomposition with column pivoting
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MHB What is the determinant of the given matrix and why do the scalers change sign?
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High School Linear combination of functions -- meaning?
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MHB Is A Invertible When Each Diagonal Element is Nonzero?
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MHB Find $(AB)^T$: Calculate Matrix Product & Transpose
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MHB Linear Combination - missing data ?
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MHB 5.2 another Ax=B with an inverse
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High School Vector addition- Positive x axis.
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MHB Are These Sets Vector Subspaces of R^3?
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MHB What is the solution for x in the equation 1.4x + 9 = -2?
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Graduate Why does the Lie group ##SO(N)## have ##n=\frac{N(N-1)}{2}## real parameters?
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MHB Combination of Linear Transformations
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MHB Dual Spaces .... Friedberg et al, Example 4, Section 2.6
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MHB A question about surjective module-homomorphisms
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MHB Matrices- conditions for unique and no solution
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Undergrad Orthogonal transformation and mirror transformation
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MHB Find Matrix A: Determining Inverse of Matrices
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Undergrad How to show that commutative matrices form a group?
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Undergrad Representing nonlinear functions involving vectors
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MHB Proof of vector dimensions using inequalities
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MHB What distinguishes a Field from a Ring?
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MHB Find the angle between 2 vectors w=i+3j, vector v=<5, 2>
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MHB Kernel of Linear Map $\theta$ in $\mathbb{F}_{q^n}$
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Undergrad How to properly understand finite group theory
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Undergrad The cases in proving that group of order 90 is not simple
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Undergrad Understanding a Sylow theory proof
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Undergrad Singular matrices and complex entries
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Undergrad Understanding Proof: Clarifying the Relationship Between K and H
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Undergrad Dimension of a set with vector function
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MHB Find Linear Mapping: Help Solving $V \setminus (W_1 \cup \cdots \cup W_m)$
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MHB Find the sin angle between two 2d vectors
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MHB What are the correcting words for matrices with equal integral entries?
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MHB Vector space - Prove or disprove
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MHB Multiplicative Inverse Proof Problem
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MHB Additive & Multiplicative Properties of Ordered Field
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Undergrad Can Multiplicative Cosets Form a Group for a Subring in a Ring Homomorphism?
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MHB How to Visualize Vectors and Subspaces in a Coordinate System?
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MHB What are the basis subsets of a 5-element vector space with additional vectors?
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High School Bounds for the index of a radical
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MHB Sum of basis elements form a basis
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MHB Notion of a ring with identity 1=0
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High School Number of independent entries of a matrix
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Graduate Representation of elements of the Grassmannian space
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MHB Condition number - Relative error
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MHB The axioms of a vector space are satisfied
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Undergrad DSP: Recurrence Relations in a Linear Algebra Equation
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MHB Transitivity as property of relation
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MHB Are Non-Ordered Numbers More Than Complex Numbers?
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MHB Reading Comprehensive - Transitivity Relation
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Graduate Solution?: Quintic Equation from Physical System
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Graduate Partial of the divergence of a gradient?
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Undergrad Images of elements in a group homomorphism
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Undergrad Adjoint Representation Confusion
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MHB What is the Polynomial Function with Given Zeros and Real Coefficients?
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MHB Ordered numbers - limited or not
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High School How can I properly distribute fractions when solving a set of linear equations?
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Undergrad Showing that the union of conjugates is less than |G|
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MHB Irreducible factors of polynomial
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MHB -412.7.3 decide if cosets of H are the same
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Undergrad Why must the group N be finite in this result?
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Undergrad Ladder operators and SU(2) representation
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Graduate Linearly independent function sets
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MHB What are Left Cosets and How Do You Find Them?
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Undergrad The quotient group of a group with a presentation
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High School The definition of “vector” in math and physics
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Undergrad Can any matrix be expressed as the product of two vectors?
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MHB Is Triviality the Same as Intuition?
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