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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 Enumerating the cosets of a kernel
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Undergrad Proof of "Quotienting Out" by M: Is it True?
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MHB Oblique projection of a vector on a plane
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Undergrad Projection Matrix: Expressing Operator with Vectors
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MHB Proving the Dimension Bound for Intermediate Field Extensions
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MHB The polynomial is irreducible over Q(i)
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High School Dot product scalar distributivity
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Graduate Lagrange multipliers on Banach spaces (in Dirac notation)
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Undergrad Breaking down SU(N) representation into smaller groups
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Undergrad Karush Khan Tucker Gradient Conditions
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Undergrad Use of the density function in physics
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MHB Question on subgroup and order of the elements
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MHB Is ψ an Isomorphism from H to G?
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MHB 412.42 - Finding elements in S_3
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MHB Proving matrix group under addition for associative axiom
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MHB -412.4.2 list elements and subgroups oa Z_30
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Undergrad Parametrization manifold of SL(2,R)
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MHB -m99.54 List possible Jordan Canonical forms for A.
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MHB How about this? What is the inverse of a permutation cycle?
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MHB Find components of map with respect to basis
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MHB Linear Maps and Eigenvalues/Eigenvectors
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MHB Monoids .... Monos and Injective Maps .... Awodey, Example 2.3, Page 30 ....
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Undergrad Proving that a subgroup is normal
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MHB Substitution Method to solve linear simultaneous equation
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MHB Help w/ Awodey Exercise 5, Ch. 1: Functor from Slice Category to Any Category
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MHB How to Approach Awodey Exercise 8, Chapter 1 in Category Theory?
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MHB Is this the only right proposition?
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Undergrad Canonical form derivation of (L1'AL1)
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MHB Rel as a Category .... Awodey Section 1.4, Example 4, Pae 7 ....
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MHB Why is the order of b equal to the order of G/H ?
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MHB Diagram Chasing .... Simmons Example 2.1.2 .... .... very basic question ....
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MHB Determine a matrix C such that T = CA has echelon form
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MHB Linear Map, T^p(x)=0, Show Linear Independence
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MHB How can the product of two categories help us understand groups?
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Undergrad Can this type of transformation be non-linear?
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Undergrad Polynomial Ideals: Struggling with Ring Ideals
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MHB Number of Homomorphisms from $\mathbb{Z}_4$ to $S_4$: A Brief Exploration
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Undergrad Product of Categories .... Product of Groups as an example ...
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MHB *aa3.2 Let Q be the group of rational numbers under addition
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MHB Show that there is a basis C of V so that C* = Λ
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Undergrad Are three zeros always required in the third row for a matrix in echelon form?
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MHB Show by induction that the determinant is equal to n
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Undergrad Proof of 'Any Finite Dimensional Unitary Space is Complete'?
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MHB Orders of Elements in Groups $$\Bbb{Z}_{12}, U(10), U(12), D4$$
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Undergrad Calculating Dyadic Green's Function Expression
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MHB Find quantity of vector projection
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MHB Reconciling Awodey, Aluffi & Leinster's Products as Categories
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MHB Solving the Matrix Transformation: $B \to C$
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MHB Show equivalence of propositions
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MHB Eigenvalues are real numbers and satisfy inequality
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MHB Primitive Elements and Free Modules .... ....
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MHB Can a Unique Polynomial Satisfy Specific Integral Equations?
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MHB Change the form of equation of surface
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MHB What Are the Minimal Polynomials of Matrix Powers?
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MHB Category Theory .... Groups and Isomorphisms .... Awodey, Section 1.5 .... ....
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MHB Basis for set of solutions for linear equation
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MHB How Do We Find the Kernel and Image Bases Using Matrix C?
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MHB Is D3 Abelian Based on Its Cayley Table?
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MHB Is $s$ the unique vector that spans the solution space $L(A,0)$?
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MHB Is the Kernel of a Group Homomorphism isomorphic to $\mathbb{Q}^2$?
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MHB Which of the group axioms are satisfied?
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Undergrad Subspaces in Axler's Famous Textbook
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Undergrad Understand Wigner-Eckart Theorem & Dimensionality of Vectors
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MHB Why Are Inverses Unique in a Category?
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MHB The Category of Pointed Sets .... Awodey Example 1.8, Page 17 ....
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MHB Understanding Monoids as Categories: Awodey Section 1.4 Example 13
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MHB Why is \{ x_1, x_2, \ldots, x_{n-1}, x \} a basis for F in Proposition 4.3.14?
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MHB Monoids as Categories .... Awodey Section 1.4, Example 13 ....
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MHB Unstructured Sets and Monoid Morphisms in Category Theory
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MHB Universal Propeties in Category Theory .... Leinster Lemma 0.7 ....
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MHB What is the Equivalence Class for a Fixed Integer in Hurricane Lane's Aftermath?
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MHB 412.0.10 ok so going with dot product with 07312400508
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Undergrad Is this a good proof of Schur's Lemma?
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Undergrad About Arnold's ODE Book Notation
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MHB 412.0.6 Find all integers n for which this statement is true, modulo n.
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High School Help with a simple algebra problem
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Undergrad Primitive Elements and Free Modules .... ....
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Graduate Vladimir I. Arnold ODE'S book, about action group
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MHB GCD of a and b: Proving $gcd(a',b')=1$
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MHB Understanding Bland's Proof of Proposition 4.3.14: Primitive Elements of Modules
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MHB Intersecon between a line and hypershere in R4 to RN
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Undergrad How to keep the components of a metric tensor constant?
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MHB Intersection between line and plane in R4-RN
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Undergrad Expanding a given vector into another orthonormal basis
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High School Expressing Velocity in Vector Form
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MHB Help Understanding Bland's Proposition 4.3.14 in Rings and Their Modules
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MHB What Vector Spans the Line Defined by These Two Equations?
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MHB Show that G is a subset of the symmetric group
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MHB Understanding Lemma 4.3.12 in Paul E. Bland's Book: "Rings and Their Modules"
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MHB Why Does d and 1 Being Associates Imply 1 is a GCD?
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MHB How Can One Show That a Given Example is Not a Submodule?
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MHB Finding the Rotation Matrix for 60 Degree Rotation around (1,1,1) Axis
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Graduate Forcing conditions in a solution of an under-determined system
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MHB Irreducible Elements and Maximal Ideals in Integral Domains ....
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MHB How to Find the GCD and LCD in Mathematics?
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MHB Another Question on Torsion Elements .... D&F Section 10.1, Exercise 8 ....
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MHB Join the MA104 College Algebra Forum at Lehman College
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MHB Is \( n! > 2^n \) for \( n \ge 4 \)?
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Undergrad Confused by this result for the tensor product of two vectors
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MHB Matrix solutions with variable coefficient
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