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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 Vector Space Question: Basis Vectors and Relatedness Explained
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Undergrad External Direct Sums and the Sum of a Family of Mappings ....
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Graduate Infinite matrices and the Trace function
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Undergrad Coordinate systems in ##\mathbb{R}^2##
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Undergrad Finitely Generated Modules and Maximal Submodules
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MHB Equivalent Norms: Proving $\|A\| \leq \|A\|_{Eucl} \leq \sqrt{n}\|A\|$
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Undergrad Noetherian Modules and Submodules
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Undergrad Noetherian Modules - Bland, Example 3, Section 4.2 ....
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MHB Noetherian Modules - Bland, Example 3, Section 4.2 ....
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MHB Proving Identities Using Axioms of Equality
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MHB Short Exact Sequences and Direct Sums .... Bland, Proposition 3.2.7 .... ....
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MHB Are These Polynomial Factorizations Correct in Z7?
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Undergrad Short Exact Sequences & Direct Sums .... Bland, Proposition 3.2.7
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MHB Help Needed: Vectors - Calculate Plane Velocity & Direction
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Undergrad Understanding Z2 Graded Vector Spaces: Definition and Examples
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Undergrad Split Epimorphisms .... Bland Proposition 3.2.4 ....
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MHB Split Short Exact Sequences .... Bland, Proposition 3.2.6 .... ....
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Undergrad Split Short Exact Sequences .... Bland, Proposition 3.2.6 ....
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MHB Does Proposition 3.2.6 Imply g'(y) = x' - f(f'(x'))?
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MHB Split Epimorphisms .... Bland Proposition 3.2.4 ....
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Undergrad How to Write the Inverse of a Matrix Using Einstein Summation Notation?
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Graduate Hermitian Operators and Projectors in Linear Algebra
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Undergrad Split Monomorphisms .... Bland Defn 3.2.2 & Propn 3.2.3 ....
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MHB Split Monomorphisma .... Bland Definition 3.2.2 & Proposition 3.2.3 ....
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MHB Free Modules, Bases and Direct Sums/Products - Bland, Proposition 2.2.3
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MHB Ring Direct Products .... Bland Problem 3(a), Problem Set 2.1, Page 49 ....
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Undergrad Eigenproblem for non-normal matrix
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MHB Finitely Generated Modules - Bland Problem 1(a), Problem Set 2.2
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MHB Understanding Determinants of 2 x 2 Matrices
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MHB Irreducible Polynomial g = X^4 + X + 1 over F2
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Undergrad Understand homomorphisms from Z^a --> Z^b
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MHB Find position vector using midpoint of two other vectors
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Undergrad Inverse of the sum of two matrices
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Undergrad What is difference between transformations and automorphisms
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Undergrad Linear Programming: how to identify conflicting equations
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MHB How to Compute Matrix Powers with Sage
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Graduate Are Eigenvalues of Hermitian Integer Matrices Always Integers?
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Undergrad Why Is Reflection in a Hyperplane a Linear Function?
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MHB External Direct Sums and Direct Products .... Bland Problem 1, Section 2.1 ....
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MHB Checking My Solution to Problem 2(c) of Problem Set 2.1: Seeking Critique
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MHB Is \(\bigoplus_\Delta A_\alpha\) a Right Ideal of \(\prod_\Delta R_\alpha\)?
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Undergrad How Do SU(2) and SO(3) Relate to Spinors and Vectors in Physics?
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Graduate Solve Badly Scaled Problem with Newton-Chord Technique
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MHB Help with Problem 2(a), Rings & Modules, Paul E. Bland
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MHB Understanding Categories: A Question on Commutativity
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High School What does î(o) represent in vectors?
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Undergrad Astrodynamics Question: Derivation of Sp. Orbital Energy?
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Undergrad Difference between R^n and other vector spaces
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Undergrad Direct Products of Modules .... Canonical Injections ....
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MHB How Is u_alpha an Injective Mapping in Proposition 2.1.4?
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Undergrad Clarification of a specific orbit example
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Undergrad Direct Products of Modules .... Bland Proposition 2.1.1 ....
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MHB Direct Products of Modules .... Bland Proposition 2.1.1 .... ....
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MHB F[x]: Congruence Solutions | Math Q&A
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MHB Ideals and Ker(f) Solution for (a), (b), and (c)
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High School How does matrix non-commutivity relate to eigenvectors?
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Undergrad Understanding SU(2) and SO(3) Representations
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MHB Understanding Proposition 2.1.1 in Paul E. Bland's Rings & Modules
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Undergrad Direct Products of Modules ....Another Question .... ....
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Undergrad Can You Add a Scalar to a Matrix Directly?
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MHB Simple Modules and Right Annihilator Ideals .... Bland, Proposition 6.1.7 ....
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MHB Homogeneous, underdetermined equation system
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Undergrad What are the best resources for learning about Lorentz group representations?
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Undergrad Proving only 1 normalized unitary vector for normal matrix
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MHB What is the determinant of a 3x3 matrix using various methods?
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MHB Noetherian Rings and Modules: Theorem 2.2 - Cohn - Section 2.2 Chain Conditions
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MHB Noetherian Modules .... Cohn Theorem 2.2 .... ....
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Undergrad Noetherian Modules .... Cohn Theorem 2.2 .... ....
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MHB Theorem 3.1.4 - Berrick and Keating - Noetherian Rings and Modules
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MHB Noetherian Modules - Maximal Condition - Berrick and Keating Ch. 3, page 111
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Undergrad How to model and resolve a static non-interpenetration constraint
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MHB How Do You Find the Inverse of a Matrix Using the Adjoint Method?
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Undergrad Example on Z-modules .... Dummit & Foote, Page 339 ....
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MHB Example on Z-modules .... Dummit & Foote, Page 339 ....
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Undergrad Linear mapping of a binary vector based on its decimal value
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MHB (R/I)-Modules .... Dummit and Foote Example (5), Section 10.1 ....
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Undergrad (R/I)-Modules .... Dummit and Foote Example (5), Section 10.1
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High School Build an affine/vector space for physics
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MHB Correspondence Theorem for Groups .... Another Question ....
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Undergrad Correspondence Theorem for Groups .... Another Question ....
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Undergrad Correspondence Theorem for Groups .... Rotman, Propn 1.82 ....
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MHB The Correspondence Theorem for Groups .... Rotman, Proposition 1.82 ....
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MHB Understanding Null Space and Column Space of a Matrix
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MHB Skype is a communication software and a notebook is a small portable computer.
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MHB Convergence of iteration method - Relation between norm and eigenvalue
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Undergrad Normalized basis when taking inner product
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MHB What Causes Discrepancies Between Rational Root Test and Modulo p Methods?
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MHB Is $\underline{k} = \langle 0,0,1 \rangle$ by Definition in Vector Notation?
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MHB Third Isomorphism Theorem for Rings .... Bland Theorem 3.3.16 .... ....
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Undergrad Third Isomorphism Theorem for Rings .... Bland Theorem 3.3.16
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Undergrad Second Isomorphism Theorem for Rings .... Bland Theorem 3.3.1
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MHB Polynomial Proof: Verification & Correction
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MHB Second Isomorphism Theorem for Rings .... Bland Theorem 3.3.15 .... ....
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Undergrad Quotient Rings .... Remarks by Adkins and Weintraub ....
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MHB Find determinant by row reduction in echelon
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MHB Quotient Rings .... Remarks by Adkins and Weintraub ....
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MHB Is x^4+x^3+1 Irreducible in Q[x] and Z[x]?
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MHB Solve Part (b) of Nonzero Polynomials | Help Needed
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Undergrad Representation Theory clarification
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Undergrad Finite Integral Domains .... Adkins & Weintraub, Propn 1.5
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