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
Parametrization of a Reduced Matrix
- Jundoe
- · Replies 2 ·
Graduate Open Conditions for Matrix Groups: Understanding the Role of det(A)≠0
- gentsagree
- · Replies 6 ·
Partial Derivatives of Matrix/Vector Function: An Easier Way?
- datahead8888
- · Replies 1 ·
Graduate Abstract algebra: elements of fiber writable as
- HJ Farnsworth
- · Replies 2 ·
Graduate Difference between line vector and free vector
- mytch
- · Replies 3 ·
Graduate Is R/kZ under multiplication a field?
- Mandelbroth
- · Replies 5 ·
Graduate Understanding the Normal Operator Equality in Proofs of Properties
- TheOldHag
- · Replies 7 ·
How Do You Convert Expressions into Bilinear Form?
- Sudharaka
- · Replies 8 ·
Dummit and Foote - Definition of Zn - Motivation?
- Math Amateur
- · Replies 4 ·
Graduate Lectures on Rings: Galois Theory
- Tenshou
- · Replies 3 ·
Graduate Does a Group Action Always Use the Group's Original Operation?
- Bachelier
- · Replies 3 ·
Graduate Why Doesn't the Tensor Identity Work Out?
- QuickLoris
- · Replies 1 ·
Graduate Is the other Gram-Schmidt process truly different from the usual one?
- Avatrin
- · Replies 2 ·
Graduate Are functionals and operators the same thing?
- gentsagree
- · Replies 3 ·
Can You Find a Counterexample for This Module Over a Commutative Ring?
- Siron
- · Replies 5 ·
Existence of a Basis of a Vector Space
- toni07
- · Replies 3 ·
Undergrad What is the difference between a field a subfield
- student34
- · Replies 6 ·
Graduate Irreducible central elements generate maximal ideals?
- Silversonic
- · Replies 1 ·
Help with system of equations: using profits
- notgoodatmath
- · Replies 3 ·
Undergrad Understanding Gauss-Jordan Method for Solving Equations
- alnix
- · Replies 1 ·
Verifying Answers to True/False Questions about Matrices
- Yankel
- · Replies 3 ·
Finding Solutions for a System of Linear Equations with 2 Degrees of Freedom
- Yankel
- · Replies 1 ·
Canonical Isomorphism and Tensor Products
- Sudharaka
- · Replies 4 ·
Understanding Tensors: Finding the Value of a Tensor
- Sudharaka
- · Replies 4 ·
Exterior Power of Linear Transformation
- Sudharaka
- · Replies 1 ·
Direct Products and Quotient Groups
- Math Amateur
- · Replies 13 ·
Prove the following; (vector spaces and linear operators)
- toni07
- · Replies 1 ·
Quotient Groups - Dummit and Foote, Section 3.1, Exercise 17
- Math Amateur
- · Replies 12 ·
Graduate Triangle Inequality in 'Linear Algebra Done Right'
- TheOldHag
- · Replies 6 ·
Undergrad Cosine Similarity: Explained and Examples
- daveronan
- · Replies 3 ·
Solving for $F(v,f)$ in Tensor $F$
- smile1
- · Replies 2 ·
Solution: What is Decomposable Tensor?
- Sudharaka
- · Replies 4 ·
Graduate Conveying inner product with words
- qubyte
- · Replies 3 ·
Undergrad Complex Numbers as Vectors: An Exploration of Their Properties and Applications
- 7777777
- · Replies 19 ·
Undergrad Systems of equations with many equations, more than 3
- Crazyhorse2882
- · Replies 1 ·
Graduate Multiplication bloards after factorization
- yiorgos
- · Replies 2 ·
Undergrad Matrix Diagonalization & Eigen Decomposition
- NATURE.M
- · Replies 2 ·
Undergrad Mean value(centroid) of a collection of vectors
- daveronan
- · Replies 2 ·
Graduate How Can Tensor Decomposition Be Achieved Using Linear Methods?
- Jhenrique
- · Replies 9 ·
Graduate Why is the Binomial Formula a Derivation?
- Tenshou
- · Replies 13 ·
Graduate Ambiguity in the term 'dimension'?
- dexterdev
- · Replies 2 ·
Graduate How to find the manifold associated with a Lie Group?
- mnb96
- · Replies 7 ·
Orientation-preserving isometry of R^n
- kalish1
- · Replies 1 ·
Transforming a Linear Transformation Matrix to an Orthonormal Basis
- Sudharaka
- · Replies 11 ·
Arithmetic Geometry on 2-sphere: Mordell-Weil Finiteness
- mathbalarka
- · Replies 13 ·
Undergrad Span of a Set of Linear Transformations
- jsgoodfella
- · Replies 2 ·
Finding GCD in Gaussian Integers
- ArcanaNoir
- · Replies 3 ·
Uniquely Determined Linear Operator
- Sudharaka
- · Replies 7 ·
Permutation representation argument validity
- kalish1
- · Replies 7 ·
Let f(x) = x^2 + 1 and g(x) = x^3 + 1.
- toni07
- · Replies 7 ·
Undergrad Inner Product vs Dot Product: Understanding the Difference
- Jhenrique
- · Replies 3 ·
Classify Quadratic Surfaces: Ellipsoids, Hyperboloids, Paraboloids & Cylinders
- FilipVz
- · Replies 1 ·
Graduate Difference between the A conjugate and A dagger
- Hazzattack
- · Replies 4 ·
Undergrad Determinants between two similar matrices
- NATURE.M
- · Replies 4 ·
Graduate Two linear transformations agree, subspace
- 1MileCrash
- · Replies 10 ·
Graduate Cartesian Product of Permutations?
- Parmenides
- · Replies 1 ·
Undergrad Explain why matrix multiplication is not commutative.
- xsgx
- · Replies 4 ·
Graduate Ring of Polynomials and Ring of Polynomial Functions
- Mandelbroth
- · Replies 5 ·
Graduate Maximal ideal (x,y) - and then primary ideal (x,y)^n
- Math Amateur
- · Replies 4 ·
Graduate Analytic expression to find the range of non-negative numbers in array
- nazmul.islam
- · Replies 2 ·
Graduate Creating a matrix with desirable eigenvalues
- Deimantas
- · Replies 7 ·
How to Find \(a^2\) from a Matrix Inverse Equation?
- Yankel
- · Replies 5 ·
Primary Ideals, prime ideals and maximal ideals.
- Math Amateur
- · Replies 1 ·
Finding element of inverse matrix
- Yankel
- · Replies 2 ·
Maximal ideal (x,y) - and then primary ideal (x,y)^n
- Math Amateur
- · Replies 13 ·
Normal Form and Canonical Form of a Quadratic
- Sudharaka
- · Replies 20 ·
Orthogonal Transformation in Euclidean Space
- Sudharaka
- · Replies 5 ·
Stabilizer subgroups - proof verification
- kalish1
- · Replies 2 ·
Surjectivity for permutation representation of a group action
- kalish1
- · Replies 2 ·
Is the Ideal (x) in k[x, y] a Prime Ideal?
- Math Amateur
- · Replies 3 ·
Graduate Why is (x) a prime ideal in k[x,y]?
- Math Amateur
- · Replies 2 ·
Is the Projection Operator Self-Adjoint Only with Orthogonal Subspaces?
- smile1
- · Replies 1 ·
Prove Primary Ideals in \mathbb{Z}: Peter's Questions Answered
- Math Amateur
- · Replies 8 ·
Canonical Basis and Standard Basis
- Sudharaka
- · Replies 9 ·
How Can I Visualize a $\pi/2$ Rotation About $(1,1,0)^t$ in $\mathbb{R}^3$?
- kalish1
- · Replies 3 ·
Graduate Proving Primary Ideals in \mathbb{Z}: Peter's Challenge
- Math Amateur
- · Replies 2 ·
Eigenvector and eigenvalue for differential operator
- kalish1
- · Replies 4 ·
Undergrad Newbie question: Algebra of Mahalanobis distance
- anja.ende
- · Replies 3 ·
Graduate What is the volume of these special n-dimensional ellipsoids?
- jstar
- · Replies 1 ·
Primary Ideals, prime ideals and maximal ideals - D&F Section 15.2
- Math Amateur
- · Replies 2 ·
Undergrad Simple conceptual misunderstanding
- jaydnul
- · Replies 3 ·
Reducing Quadratic Form to Principle Axes
- Sudharaka
- · Replies 6 ·
Graduate Primary Ideals, prime ideals and maximal ideals - D&F Section 15.2
- Math Amateur
- · Replies 4 ·
Graduate Isomorphic Finite Dimensional Vector Spaces
- TheOldHag
- · Replies 5 ·
Undergrad Simple question about parametric equations of a plane in 3D
- ainster31
- · Replies 5 ·
Graduate Affine Varieties - the x-axis in R^2
- Math Amateur
- · Replies 1 ·
Graduate Primary Ideals, prime ideals and maximal ideals.
- Math Amateur
- · Replies 1 ·
Graduate Is SO(2) Considered a Lie Group?
- mnb96
- · Replies 16 ·
If a and b are unit vectors....
- Raerin
- · Replies 3 ·
How Do You Invert This 2x2 Matrix?
- ends
- · Replies 6 ·
Graduate Proving Convexity of a Set: A Proof by Contradiction Approach
- TaPaKaH
- · Replies 2 ·
Graduate Affine Varieties - Single Points and maximal ideals
- Math Amateur
- · Replies 2 ·
Undergrad Matrix transformations and effects on the unit square
- fogvajarash
- · Replies 3 ·
Questions about Jordan Normal Form
- Sudharaka
- · Replies 9 ·
Mapping and inverse mapping of open sets and their complements
- alyafey22
- · Replies 1 ·
High School What is the notation for the distance between two position vectors?
- CraigH
- · Replies 4 ·
Indexes of inertia for the function
- smile1
- · Replies 1 ·
Graduate Spinor representations decomposed under subgroups in Joe's big book
- whitejet
- · Replies 3 ·
Prove G is a Subspace of V ⊕ V and Quotient Space (V ⊕ V)/G Isomorphic to V
- toni07
- · Replies 2 ·
Hermitian Function Proof: Correcting a Mistake
- Sudharaka
- · Replies 5 ·