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.
Threads
-412.7.3 decide if cosets of H are the same
- karush
- · Replies 3 ·
Undergrad Why must the group N be finite in this result?
- Mr Davis 97
- · Replies 6 ·
Undergrad Ladder operators and SU(2) representation
- kelly0303
- · Replies 1 ·
Graduate Linearly independent function sets
- hilbert2
- · Replies 12 ·
What are Left Cosets and How Do You Find Them?
- karush
- · Replies 1 ·
Undergrad The quotient group of a group with a presentation
- Mr Davis 97
- · Replies 1 ·
High School The definition of “vector” in math and physics
- Zeynel
- · Replies 3 ·
Undergrad Can any matrix be expressed as the product of two vectors?
- DuckAmuck
- · Replies 9 ·
Is Triviality the Same as Intuition?
- highmath
- · Replies 9 ·
Undergrad Enumerating the cosets of a kernel
- Mr Davis 97
- · Replies 1 ·
Undergrad Proof of "Quotienting Out" by M: Is it True?
- Mr Davis 97
- · Replies 1 ·
Oblique projection of a vector on a plane
- Evgeny.Makarov
- · Replies 8 ·
Undergrad Projection Matrix: Expressing Operator with Vectors
- Robin04
- · Replies 7 ·
Proving the Dimension Bound for Intermediate Field Extensions
- mathmari
- · Replies 4 ·
The polynomial is irreducible over Q(i)
- mathmari
- · Replies 16 ·
High School Dot product scalar distributivity
- archaic
- · Replies 2 ·
Graduate Lagrange multipliers on Banach spaces (in Dirac notation)
- Rabindranath
- · Replies 2 ·
Undergrad Breaking down SU(N) representation into smaller groups
- diegzumillo
- · Replies 3 ·
Undergrad Karush Khan Tucker Gradient Conditions
- mertcan
- · Replies 6 ·
Undergrad Use of the density function in physics
- kent davidge
- · Replies 4 ·
Question on subgroup and order of the elements
- himynameJEF
- · Replies 7 ·
Is ψ an Isomorphism from H to G?
- himynameJEF
- · Replies 1 ·
412.42 - Finding elements in S_3
- karush
- · Replies 7 ·
Proving matrix group under addition for associative axiom
- cbarker1
- · Replies 1 ·
-412.4.2 list elements and subgroups oa Z_30
- karush
- · Replies 1 ·
Undergrad Parametrization manifold of SL(2,R)
- Wledig
- · Replies 4 ·
-m99.54 List possible Jordan Canonical forms for A.
- karush
- · Replies 11 ·
How about this? What is the inverse of a permutation cycle?
- karush
- · Replies 1 ·
Find components of map with respect to basis
- evinda
- · Replies 15 ·
Linear Maps and Eigenvalues/Eigenvectors
- joypav
- · Replies 1 ·
Applying the UMP of the free monoid in Awodey example 2.3
- Math Amateur
- · Replies 6 ·
Undergrad Proving that a subgroup is normal
- kent davidge
- · Replies 8 ·
Substitution Method to solve linear simultaneous equation
- Yazan975
- · Replies 1 ·
Help w/ Awodey Exercise 5, Ch. 1: Functor from Slice Category to Any Category
- Math Amateur
- · Replies 2 ·
How to Approach Awodey Exercise 8, Chapter 1 in Category Theory?
- Math Amateur
- · Replies 4 ·
Is this the only right proposition?
- evinda
- · Replies 1 ·
Undergrad Canonical form derivation of (L1'AL1)
- Sanchayan Ghosh
- · Replies 2 ·
Identity arrows in the category Rel from Awodey section 1.4
- Math Amateur
- · Replies 6 ·
Why is the order of b equal to the order of G/H ?
- mathmari
- · Replies 6 ·
Diagram Chasing .... Simmons Example 2.1.2 .... .... very basic question ....
- Math Amateur
- · Replies 2 ·
Determine a matrix C such that T = CA has echelon form
- mathmari
- · Replies 4 ·
Linear Map, T^p(x)=0, Show Linear Independence
- joypav
- · Replies 1 ·
How can the product of two categories help us understand groups?
- Math Amateur
- · Replies 9 ·
Undergrad Can this type of transformation be non-linear?
- snoopies622
- · Replies 3 ·
Undergrad Ring ideal example: is {0,2} an ideal of Z/4Z?
- Wledig
- · Replies 12 ·
Number of homomorphisms from ℤ₄ to S₄
- evinda
- · Replies 11 ·
Undergrad Product category definition and group multiplication in C × D
- Math Amateur
- · Replies 22 ·
*aa3.2 Let Q be the group of rational numbers under addition
- karush
- · Replies 5 ·
Show that there is a basis C of V so that C* = Λ
- mathmari
- · Replies 3 ·
Undergrad Are three zeros always required in the third row for a matrix in echelon form?
- ver_mathstats
- · Replies 3 ·
Show by induction that the determinant is equal to n
- mathmari
- · Replies 10 ·
Undergrad Proof of 'Any Finite Dimensional Unitary Space is Complete'?
- kent davidge
- · Replies 1 ·
Orders of Elements in Groups $$\Bbb{Z}_{12}, U(10), U(12), D4$$
- karush
- · Replies 2 ·
Undergrad Calculating Dyadic Green's Function Expression
- Karthiksrao
- · Replies 2 ·
Find quantity of vector projection
- evinda
- · Replies 9 ·
Reconciling different definitions of product categories in Awodey, Aluffi and Leinster
- Math Amateur
- · Replies 2 ·
Solving the Matrix Transformation: $B \to C$
- evinda
- · Replies 1 ·
Show equivalence of propositions
- mathmari
- · Replies 15 ·
Eigenvalues are real numbers and satisfy inequality
- evinda
- · Replies 1 ·
Basis of free module in Bland's Proposition 4.3.14
- Math Amateur
- · Replies 2 ·
Can a Unique Polynomial Satisfy Specific Integral Equations?
- evinda
- · Replies 4 ·
Change the form of equation of surface
- mathmari
- · Replies 6 ·
What Are the Minimal Polynomials of Matrix Powers?
- evinda
- · Replies 4 ·
Proving every arrow is an isomorphism in Awodey Definition 1.4
- Math Amateur
- · Replies 3 ·
Basis for solutions to x+y-2z=0
- TheFallen018
- · Replies 6 ·
How Do We Find the Kernel and Image Bases Using Matrix C?
- mathmari
- · Replies 6 ·
Is D3 Abelian Based on Its Cayley Table?
- karush
- · Replies 6 ·
Is $s$ the unique vector that spans the solution space $L(A,0)$?
- mathmari
- · Replies 3 ·
Is the Kernel of a Group Homomorphism isomorphic to $\mathbb{Q}^2$?
- mathmari
- · Replies 4 ·
Which of the group axioms are satisfied?
- mathmari
- · Replies 9 ·
Undergrad Subspaces in Axler's Famous Textbook
- gibberingmouther
- · Replies 3 ·
Undergrad Understand Wigner-Eckart Theorem & Dimensionality of Vectors
- Silviu
- · Replies 1 ·
Why Are Inverses Unique in a Category?
- Math Amateur
- · Replies 3 ·
Objects, arrows and identity in the category of pointed sets
- Math Amateur
- · Replies 5 ·
Understanding Monoids as Categories: Awodey Section 1.4 Example 13
- Math Amateur
- · Replies 8 ·
Why is \{ x_1, x_2, \ldots, x_{n-1}, x \} a basis for F in Proposition 4.3.14?
- Math Amateur
- · Replies 4 ·
Monoids as Categories .... Awodey Section 1.4, Example 13 ....
- Math Amateur
- · Replies 4 ·
Unstructured Sets and Monoid Morphisms in Category Theory
- Math Amateur
- · Replies 3 ·
Universal Propeties in Category Theory .... Leinster Lemma 0.7 ....
- Math Amateur
- · Replies 3 ·
What is the Equivalence Class for a Fixed Integer in Hurricane Lane's Aftermath?
- karush
- · Replies 2 ·
412.0.10 ok so going with dot product with 07312400508
- karush
- · Replies 3 ·
Undergrad Is this proof of Schur's lemma correct?
- kent davidge
- · Replies 2 ·
Undergrad About Arnold's ODE Book Notation
- Martin T
- · Replies 14 ·
412.0.6 Find all integers n for which this statement is true, modulo n.
- karush
- · Replies 1 ·
High School Solving t/(2t-s) = 3s for t
- MartinJH
- · Replies 3 ·
Undergrad Proving basis of F in Proposition 4.3.14 of Bland's Rings and Their Modules
- Math Amateur
- · Replies 2 ·
Graduate Vladimir I. Arnold ODE'S book, about action group
- Martin T
- · Replies 4 ·
GCD of a and b: Proving $gcd(a',b')=1$
- karush
- · Replies 4 ·
Understanding Bland's Proof of Proposition 4.3.14: Primitive Elements of Modules
- Math Amateur
- · Replies 1 ·
Intersecon between a line and hypershere in R4 to RN
- LMHmedchem
- · Replies 2 ·
Undergrad How to keep the components of a metric tensor constant?
- snoopies622
- · Replies 4 ·
Intersection between line and plane in R4-RN
- LMHmedchem
- · Replies 17 ·
Undergrad Finding vector components in a different orthonormal basis
- Pushoam
- · Replies 1 ·
High School Expressing Velocity in Vector Form
- opus
- · Replies 25 ·
Why does xR = x₁R when x = x₁a and a is a unit?
- Math Amateur
- · Replies 2 ·
What Vector Spans the Line Defined by These Two Equations?
- TheFallen018
- · Replies 3 ·
Show that G is a subset of the symmetric group
- mathmari
- · Replies 7 ·
Understanding Lemma 4.3.12 in Paul E. Bland's Book: "Rings and Their Modules"
- Math Amateur
- · Replies 2 ·
Why Does d and 1 Being Associates Imply 1 is a GCD?
- Math Amateur
- · Replies 3 ·
How Can One Show That a Given Example is Not a Submodule?
- Math Amateur
- · Replies 4 ·