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.
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Need some hints on my HW about Linear functionals
- BaconInDistress
- · Replies 3 ·
Hill Cipher Attack: Eve Can Crack Alice's Message
- Mathick
- · Replies 2 ·
Proving a Subset of a Group is a Group
- cbarker1
- · Replies 2 ·
Undergrad How does compressive sensing reconstruct signals from fewer samples?
- fog37
- · Replies 1 ·
Undergrad Affine hull and affine combinations equivalence
- Mr Davis 97
- · Replies 7 ·
Showing the Dual Basis is a basis
- joypav
- · Replies 1 ·
Undergrad What is Kronecker's theorem/lemma for root solutions?
- swampwiz
- · Replies 4 ·
Check the statements about a 4x5 matrix with rank 2.
- mathmari
- · Replies 9 ·
High School How do I improve my proof writing style?
- TachyonLord
- · Replies 10 ·
Undergrad Proving Commutator Identity for Baker-Campbell-Hausdorff Formula
- Wledig
- · Replies 4 ·
High School Force on an inclined plane using vector projections vs trigonometry
- tokki1510
- · Replies 3 ·
Interval of eigenvalues using Gershgorin circles
- mathmari
- · Replies 3 ·
Is f in the vector space of cubic spline functions?
- mathmari
- · Replies 1 ·
LU decomposition of 3×3 matrix with total pivoting
- mathmari
- · Replies 5 ·
Finding basis, rank, and null space dimension for a 4×7 matrix
- karush
- · Replies 4 ·
What is the determinant of the identity matrix in a larger matrix?
- karush
- · Replies 5 ·
High School Is ##\mathbb{Z}_2## a Field Despite the Zero Multiplication Dilemma?
- romsofia
- · Replies 3 ·
Undergrad When is a subset a subspace in a vector space?
- Kaguro
- · Replies 7 ·
E1.4b Determinant with zero column
- karush
- · Replies 1 ·
Undergrad Proving the Orthogonal Projection Formula for Vector Subspaces
- member 428835
- · Replies 2 ·
Graduate Using particle swarm optimization for matrix inversion
- Nurulhuda Ismail
- · Replies 1 ·
Verify β is a basis for ℝ² and find the coordinate vector
- karush
- · Replies 8 ·
The decomposition for a symmetric positiv definite matrix is unique
- mathmari
- · Replies 13 ·
Graded Algebra: Understanding Color Dirac Spinors in Space-Time
- topsquark
- · Replies 2 ·
Undergrad Determining if the system is consistent
- cookiemnstr510510
- · Replies 6 ·
Proving General Associativity for Group by induction
- cbarker1
- · Replies 5 ·
Proof the set with the multiplication is a group
- cbarker1
- · Replies 1 ·
Poole 6.76: bases for linear transformation matrix
- Math Amateur
- · Replies 2 ·
Undergrad How to Write a Matrix on a Webpage?
- cookiemnstr510510
- · Replies 5 ·
Determine vec {{x},{y},{3x+2y}} in R^3 form a vec space
- karush
- · Replies 11 ·
Two versions of Gram Schmidt orthogonalization method
- mathmari
- · Replies 23 ·
Undergrad Can't understand a step in an LU decomposition proof
- Shirish
- · Replies 1 ·
Matrix Addition: OK - No Examples Found
- karush
- · Replies 2 ·
Is a Group Abelian if Inverses Commute?
- cbarker1
- · Replies 2 ·
Is the Kernel of Trace Equal to the $F$-Subspace of $V_\sigma$?
- mathmari
- · Replies 4 ·
Graduate Quaternions and Video Game Design
- Ben2
- · Replies 10 ·
A and solution are known find B matrix
- TomSavage
- · Replies 3 ·
Can $[a] \times [b]$ be an element of ${\Z / n\Z}^{\times}$?
- cbarker1
- · Replies 7 ·
Insights Lie Algebras: A Walkthrough - The Representations
- fresh_42
- · Replies 1 ·
Show that the tridiagonal matrix is positive definite
- mathmari
- · Replies 4 ·
LR decomposition with column pivoting
- mathmari
- · Replies 10 ·
What is the determinant of the given matrix and why do the scalers change sign?
- karush
- · Replies 5 ·
High School Linear combination of functions -- meaning?
- Vol
- · Replies 9 ·
Is A Invertible When Each Diagonal Element is Nonzero?
- karush
- · Replies 2 ·
Finding the transpose of a matrix product (AB)^T
- karush
- · Replies 1 ·
Linear Combination - missing data ?
- Yankel
- · Replies 3 ·
Solving AX=B when matrix A has zeros in a column
- karush
- · Replies 2 ·
High School Vector addition- Positive x axis.
- opus
- · Replies 3 ·
Are These Sets Vector Subspaces of R^3?
- Yankel
- · Replies 5 ·
What is the solution for x in the equation 1.4x + 9 = -2?
- karush
- · Replies 3 ·
Graduate Why does the Lie group ##SO(N)## have ##n=\frac{N(N-1)}{2}## real parameters?
- LagrangeEuler
- · Replies 3 ·
Combination of Linear Transformations
- TheFallen018
- · Replies 2 ·
How does f₁(2,1) = 1 in Friedberg's dual spaces example?
- Math Amateur
- · Replies 2 ·
When is f^{-1}(X) + f^{-1}(Y) = f^{-1}(X+Y) for surjective homomorphisms?
- steenis
- · Replies 3 ·
Matrices- conditions for unique and no solution
- lyd123
- · Replies 2 ·
Undergrad Orthogonal transformation and mirror transformation
- Leo-physics
- · Replies 8 ·
Find Matrix A: Determining Inverse of Matrices
- lyd123
- · Replies 2 ·
Undergrad How to show that commutative matrices form a group?
- Robin04
- · Replies 39 ·
Undergrad Representing nonlinear functions involving vectors
- Prez Cannady
- · Replies 12 ·
Proof of vector dimensions using inequalities
- TheFallen018
- · Replies 5 ·
What distinguishes a Field from a Ring?
- highmath
- · Replies 1 ·
Find the angle between 2 vectors w=i+3j, vector v=<5, 2>
- Elissa89
- · Replies 1 ·
Kernel of Linear Map $\theta$ in $\mathbb{F}_{q^n}$
- mathmari
- · Replies 24 ·
Undergrad How to properly understand finite group theory
- Terrell
- · Replies 8 ·
Undergrad The cases in proving that group of order 90 is not simple
- Mr Davis 97
- · Replies 1 ·
Undergrad Understanding a Sylow theory proof
- Mr Davis 97
- · Replies 4 ·
Undergrad Singular matrices and complex entries
- member 428835
- · Replies 9 ·
Undergrad Understanding Proof: Clarifying the Relationship Between K and H
- Mr Davis 97
- · Replies 3 ·
Undergrad Dimension of a set with vector function
- fcoulomb
- · Replies 1 ·
Finding a linear mapping with kernel containing a given subspace
- evinda
- · Replies 22 ·
Find the sin angle between two 2d vectors
- Elissa89
- · Replies 1 ·
What are the correcting words for matrices with equal integral entries?
- cbarker1
- · Replies 1 ·
Vector space - Prove or disprove
- mathmari
- · Replies 8 ·
Multiplicative Inverse Proof Problem
- A.Magnus
- · Replies 4 ·
Intuitive significance of additive and multiplicative properties in ordered fields
- A.Magnus
- · Replies 2 ·
Undergrad Can Multiplicative Cosets Form a Group for a Subring in a Ring Homomorphism?
- Mr Davis 97
- · Replies 5 ·
How to Visualize Vectors and Subspaces in a Coordinate System?
- mathmari
- · Replies 7 ·
What are the basis subsets of a 5-element vector space with additional vectors?
- mathmari
- · Replies 6 ·
High School Bounds for the index of a radical
- FranzDiCoccio
- · Replies 7 ·
Sum of basis elements form a basis
- mathmari
- · Replies 4 ·
Notion of a ring with identity 1=0
- JohnKeats
- · Replies 4 ·
High School Number of independent entries of a matrix
- kent davidge
- · Replies 2 ·
Graduate Representation of elements of the Grassmannian space
- mnb96
- · Replies 1 ·
Condition number - Relative error
- mathmari
- · Replies 9 ·
The axioms of a vector space are satisfied
- mathmari
- · Replies 10 ·
Undergrad DSP: Recurrence Relations in a Linear Algebra Equation
- Destroxia
- · Replies 1 ·
Transitivity as property of relation
- roni1
- · Replies 1 ·
Are Non-Ordered Numbers More Than Complex Numbers?
- highmath
- · Replies 3 ·
Why transitivity matters in partial orders and equivalence relations
- highmath
- · Replies 1 ·
Graduate Solution?: Quintic Equation from Physical System
- danielFiuza
- · Replies 4 ·
Graduate Partial of the divergence of a gradient?
- Hypatio
- · Replies 7 ·
Undergrad Images of elements in a group homomorphism
- Terrell
- · Replies 2 ·
Undergrad Adjoint Representation Confusion
- Arcturus7
- · Replies 3 ·
What is the Polynomial Function with Given Zeros and Real Coefficients?
- karush
- · Replies 6 ·
Ordered numbers - limited or not
- highmath
- · Replies 1 ·
High School How can I properly distribute fractions when solving a set of linear equations?
- Voltux
- · Replies 7 ·
Undergrad Showing that the union of conjugates is less than |G|
- Mr Davis 97
- · Replies 10 ·
Irreducible factors of polynomial
- mathmari
- · Replies 8 ·
-412.7.3 decide if cosets of H are the same
- karush
- · Replies 3 ·