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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Graduate Inverse linear algebra problem for stereo triangulation
- alvin6688
- · Replies 1 ·
High School Tensor Product, Basis Vectors and Tensor Components
- nigelscott
- · Replies 2 ·
High School Linearizing a Relation: How to Create a Best Fit Linear Line in Logger Pro
- ChanYoung Park
- · Replies 4 ·
Intersection of all subspace of V is the empty set
- mathmari
- · Replies 8 ·
Undergrad Relationship between a non-Hermitian Hamiltonian and its solution
- SeM
- · Replies 2 ·
Describe bases for the span of sets
- mathmari
- · Replies 8 ·
Graduate Finding Angles of Triangle Given Two Points on Earth and One in Space
- Boxturtle
- · Replies 9 ·
Undergrad Consequences on a system of ODEs after performing operations
- SeM
- · Replies 4 ·
Undergrad Types of complex matrices, why only 3?
- SeM
- · Replies 5 ·
Undergrad A different way to express the span
- Raymondyhq
- · Replies 8 ·
Graduate How to prove vector identities WITHOUT using levi civita ?
- darksilence
- · Replies 2 ·
Undergrad Is the Frobenius Norm a Reliable Indicator of Matrix Conditioning?
- SeM
- · Replies 2 ·
Smallest subfield of C that contains i
- mathmari
- · Replies 4 ·
Undergrad How to check if a matrix is Hilbert space and unitary?
- SeM
- · Replies 16 ·
High School Why does a matrix diagonalise in this case?
- Wrichik Basu
- · Replies 2 ·
Graduate Commutation and Non-Linear Operators
- MisterX
- · Replies 5 ·
Undergrad How to study an ODE in matrix form in a Hilbert space?
- SeM
- · Replies 6 ·
Eigenvector Calculations and Verification for y1+y2=5
- ertagon2
- · Replies 2 ·
Questions about analysis of algorithm
- evinda
- · Replies 5 ·
Proving the Equality of A and B: A+B=0 or A=B
- solakis1
- · Replies 2 ·
Undergrad Bases, operators and eigenvectors
- fog37
- · Replies 7 ·
Undergrad What does this vector notation mean?
- Yealtas
- · Replies 3 ·
Undergrad Can a Hermitian matrix have complex eigenvalues?
- SeM
- · Replies 4 ·
Undergrad Why does (A*A)* = A*A** for linear operators?
- Rodrigo Schmidt
- · Replies 3 ·
Insights What Are Eigenvectors and Eigenvalues? - Comments
- Mark44
- · Replies 28 ·
Undergrad What is the equivalent of a group in category theory?
- Krunchyman
- · Replies 8 ·
Undergrad How many generators can a cyclic group have by definition?
- lintmintskint
- · Replies 7 ·
Undergrad Why can't a set of vectors with less than n elements span ℝn?
- Drakkith
- · Replies 21 ·
Undergrad Notation for systems of simultaneous equations
- Benjamin Irwin
- · Replies 4 ·
Undergrad How to find the matrix of the derivative endomorphism?
- Cathr
- · Replies 2 ·
Graduate On the equivalent definitions for solvable groups
- hihiip201
- · Replies 3 ·
How to Find the Zeros Using the Rational Roots Theorem?
- Elissa89
- · Replies 8 ·
Undergrad Can a shear operation introduce a new linear dependency?
- swampwiz
- · Replies 12 ·
Undergrad Van Der Waerden trick in Hungerford's free group proof
- mr.tea
- · Replies 4 ·
Undergrad What is the definition of a matrix in function form?
- Nipon Waiyaworn
- · Replies 9 ·
How does the row picture differ from the column picture in linear systems?
- otownsend
- · Replies 1 ·
Insights What Is a Tensor? The mathematical point of view
- fresh_42
- · Replies 57 ·
Undergrad Terminology involving "homomorphic"
- Stephen Tashi
- · Replies 19 ·
What Is Required to Prove a Subset is a Vector Space?
- Yankel
- · Replies 3 ·
Undergrad Why does Aut(ℂ) have only two elements: identity and complex conjugation?
- Math Amateur
- · Replies 19 ·
Undergrad Why is Aut(ℝ) the trivial group?
- Math Amateur
- · Replies 23 ·
Undergrad Understanding Quaternion Transformations for 3D Vectors
- Tio Barnabe
- · Replies 4 ·
Undergrad How can there only be two possible four-element groups?
- Azure Ace
- · Replies 6 ·
Undergrad Are my thoughts about groups correct?
- Tio Barnabe
- · Replies 1 ·
Undergrad Why does Gaussian elimination work?
- Mathematicsss
- · Replies 5 ·
High School Define Vector on x-Axis: -d/2 to d/2
- Philosophaie
- · Replies 1 ·
Undergrad Linear Program:Multiple Optima for multivariable Obj. Func.?
- StevenJacobs990
- · Replies 1 ·
Undergrad Can group generators always be diagonalized in matrix representations?
- Tio Barnabe
- · Replies 3 ·
Calculating Ratio of Determinants for $a,b$ Real Coefficients
- lfdahl
- · Replies 2 ·
Undergrad Exterior product of (A1−A2,B1−B2,C1−C2) and (A1,B1,C1)
- Philosophaie
- · Replies 1 ·
Undergrad Eigenvalues of Circulant matrices
- mr.tea
- · Replies 1 ·
Graduate Finding Eigenvectors with Lanczos Algorithm
- maverick_starstrider
- · Replies 1 ·
Using the First Property to Prove the Second Property of the Exterior Product
- mathmari
- · Replies 5 ·
Understand Proof for Exterior Product Proposition
- mathmari
- · Replies 2 ·
Undergrad Does Euclidean space need a separate geometric substrate from its vector space structure?
- FallenApple
- · Replies 32 ·
Undergrad Is My Panel Data Sample Size Adequate and Modeling Approach Correct?
- beaf123
- · Replies 4 ·
Graduate Infinite Basis and Supernatural Numbers
- FallenApple
- · Replies 9 ·
Undergrad Finding the Kernel of a Matrix Map
- WWGD
- · Replies 11 ·
Undergrad Solving System of Equations w/ Gauss-Jordan Elimination
- Oannes
- · Replies 3 ·
Undergrad Matrix for transforming vector components under rotation
- saadhusayn
- · Replies 2 ·
Undergrad Homomorphism of an elementwise sum and dot product
- NotASmurf
- · Replies 1 ·
Undergrad How Do Eigenvalues of Block Matrices Relate to Their Sub-Matrices and Graphs?
- Adel Makram
- · Replies 11 ·
Undergrad Transforming a Matrix: Elementary Methods for Finite Fields
- Lapidus
- · Replies 8 ·
High School If (u+v)·(u-v)=0, prove |u|=|v| using dot product
- stolencookie
- · Replies 10 ·
Graduate Gershgorin Circle Theorem, mathematical derivation of eigenvalue estimates
- onako
- · Replies 2 ·
Graduate Numerically Calculating Eigenvalues
- member 428835
- · Replies 12 ·
Undergrad Solving a system of linear equations using back substitution
- Jen2114
- · Replies 1 ·
Undergrad Addition of exponents proof in group theory
- Mr Davis 97
- · Replies 5 ·
High School Looking for some intuition on a basic Algebra equation
- DS2C
- · Replies 8 ·
Undergrad How can -a be equal to (-1)*a?
- transmini
- · Replies 6 ·
High School What is the requirement for something to qualify as vector?
- Wrichik Basu
- · Replies 6 ·
Undergrad Are there relations that are valid for any field?
- SVN
- · Replies 5 ·
Graduate Understanding Rank of a Matrix: Important Theorem and Demonstration
- Conrad Manfried
- · Replies 5 ·
Undergrad Inner Product vs. Dot Product Confusion in Quantum Physics?
- lawlieto
- · Replies 4 ·
Graduate Transformation of the neighborhood of a branch point
- Eric_H
- · Replies 4 ·
High School Generalized Linear equation of a cube
- Leo Authersh
- · Replies 5 ·
Undergrad Spectral Bisection of Simplest Graph Clearly Incorrect
- maverick_starstrider
- · Replies 5 ·
High School How Do Rotation Matrices Impact Coordinate Systems and Object Transformations?
- Leo Authersh
- · Replies 6 ·
Graduate Selected solution of linear equations
- Gabor Ladanyi
- · Replies 8 ·
Undergrad Lie Algebra states of a representation
- Silviu
- · Replies 5 ·
Hcc8.12 Find the sum of vectors
- karush
- · Replies 6 ·
Undergrad Normal modes using representation theory
- Silviu
- · Replies 3 ·
Undergrad Finite and infinitesimal Rotations
- Josh1079
- · Replies 2 ·
Undergrad Advantages of Vector Spaces over Modules
- FallenApple
- · Replies 4 ·
Undergrad Solving Ka = σ²Ma for the generalized eigenvalue problem
- member 428835
- · Replies 16 ·
Undergrad Is zero vector always present in any n-dimensional space?
- Asad Raza
- · Replies 7 ·
Undergrad How do I know if a matrix is positive definite?
- Telemachus
- · Replies 11 ·
Graduate Algebraic structure in time evolution
- tom.stoer
- · Replies 5 ·
Undergrad Solving a cubic polynomial for x given a specific y value
- Dubs Mozz
- · Replies 15 ·
Undergrad How can generators commute with vector components if one is a matrix?
- Silviu
- · Replies 17 ·
Graduate If [A,B]=0, are they both functions of some other operator?
- pantheid
- · Replies 5 ·
Undergrad Index (killing form ?) in a reducible representation
- hideelo
- · Replies 1 ·
Graduate How to Calculate the Rotation Axis Incorporating Translation?
- Daniel Thuresson
- · Replies 8 ·
When is the composition of a line reflection and point reflection a line reflection?
- mathmari
- · Replies 20 ·
Graduate How to prove The Cayley-Hamilton Theorem?
- Nipon Waiyaworn
- · Replies 18 ·
Undergrad Proving exp(log A) = A for unipotent matrices and log(exp X) = X for nilpotent X
- Josh1079
- · Replies 1 ·
Graduate Summing simple histograms to recreate a more complex one
- Master Sidoshi
- · Replies 2 ·
Undergrad Injectivity equivalent to having a left inverse
- Mr Davis 97
- · Replies 1 ·
How can we determine the reflection across a given line in Hesse normal form?
- mathmari
- · Replies 5 ·
Composition of scalings with different centers and factors
- mathmari
- · Replies 24 ·