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 Is the Direct Sum Complement Unique?
- Bipolarity
- · Replies 4 ·
Undergrad Graph Plane x+2y+3z=0 | Math Tutorials
- baddin
- · Replies 2 ·
Undergrad Sample mean and sample covariance
- EnglsihLearner
- · Replies 1 ·
Graduate Generating a vector space via a T-cyclic subspace
- Bipolarity
- · Replies 3 ·
*3 coordinates of parallelogram STUV
- karush
- · Replies 5 ·
Undergrad What is the difference between Variance and Covariance?
- DUET
- · Replies 3 ·
Graduate Inner Product on a Real Vector Space
- DUET
- · Replies 10 ·
Graduate Quick question regarding isomorphic groups?
- Ishida52134
- · Replies 5 ·
What is the proof for the residual sum of squares problem?
- Jameson
- · Replies 9 ·
Inner product in n-dimensional vector space
- gucci1
- · Replies 5 ·
Graduate Square matrix to the power of a imaginary unit
- sunny110
- · Replies 3 ·
Graduate Is the geometric multiplicity of an eigenvalue a similar invariant?
- Bipolarity
- · Replies 2 ·
Prove matrix has all real eigenvalues
- Jameson
- · Replies 12 ·
Undergrad Way to re-express this equation by writing x and y separate?
- femiadeyemi
- · Replies 3 ·
Undergrad Linear Systems with pseudoinverse matrix using SVD
- Phong
- · Replies 2 ·
Graduate Question regarding Kronecker Delta
- TheFerruccio
- · Replies 16 ·
Undergrad Algebra: How does [-x^2 -4x+4-1] become [(x^2+4x-4)-1]
- LearninDaMath
- · Replies 6 ·
Complex Conjugates/Proof by Induction
- gucci1
- · Replies 2 ·
Automorphisms of the splitting field of the m-th cyclotomic polynomial.
- caffeinemachine
- · Replies 16 ·
Finitely Generated k-algebra - Nature of the finite generation - basic question
- Math Amateur
- · Replies 2 ·
Can k(x) be Generated with Only One Rational Fraction?
- Math Amateur
- · Replies 4 ·
Graduate Transpose of the product of matrices problem
- EdMel
- · Replies 1 ·
Graduate Understanding the Relationship: Log, Traces, and Diagonalized Matrices
- dm4b
- · Replies 3 ·
Graduate Different ways to define vector multiplication?
- stoopkid
- · Replies 3 ·
Undergrad Are vectors assumed to be with respect to a standard basis?
- chipotleaway
- · Replies 10 ·
Why Does Vector Norm Use "Double" Absolute Value?
- SweatingBear
- · Replies 3 ·
Graduate Filter Near-Zero Matrix Elements: Reasonable?
- Mr Peanut
- · Replies 1 ·
Graduate Binomial formula for spherical tensors
- francesco75
- · Replies 4 ·
Graduate Is it possible to design this?
- EngWiPy
- · Replies 9 ·
Graduate Nearly Singular Matrix Inversion
- EngWiPy
- · Replies 6 ·
IBV16 Find a vector equation for the line
- karush
- · Replies 1 ·
Undergrad Recognizing even or odd permutation easily?
- vulpe
- · Replies 5 ·
Graduate Any pointer for analyzing this matrix?
- divB
- · Replies 3 ·
Noetherian Rings - Dummit and Foote - Chapter 15 - Exercise 2a
- Math Amateur
- · Replies 3 ·
Graduate Linear Map T: Proving Existence of KerT=U if dimU≥dimV-dimW
- kostas230
- · Replies 6 ·
IBV8 line L passes through the origin and is parallel to the vector 2i + 3j
- karush
- · Replies 1 ·
Rings of the form R[X] - Ring Adjunction
- Math Amateur
- · Replies 2 ·
Applying the distributive law....
- tmy942
- · Replies 1 ·
Undergrad System of linear equation in term of column vector
- DUET
- · Replies 5 ·
Does Z[root(-3)] Qualify as a GCD Domain?
- bw0young0math
- · Replies 1 ·
Undergrad What Is the Name of u=(3, 3, 3) Vector?
- DUET
- · Replies 3 ·
Undergrad Why vector form is convenient?
- manimaran1605
- · Replies 3 ·
Commutative ring | Exam question
- Krizalid1
- · Replies 4 ·
*IBV6 Find vector eq of line passing thru (–1, 4),(3, –1). in form r = p + td
- karush
- · Replies 1 ·
*IBV5 The vectors u, v are given by u = 3i + 5j, v = i – 2j
- karush
- · Replies 3 ·
Prove/Disprove: $I+J$ and $I\cap J$ are Ideals of $A$
- Krizalid1
- · Replies 2 ·
Graduate Question about diagonalizable matrices
- Bipolarity
- · Replies 5 ·
Question involving annihilators and solution spaces
- britatuni
- · Replies 3 ·
Interesting problem with ideals and function
- Krizalid1
- · Replies 4 ·
Graduate Least k Such that a^k=1 in Finite Ring R
- modnarandom
- · Replies 1 ·
Graduate Correspondence Theorem in Group Theory
- TheShrike
- · Replies 4 ·
How to Prove Certain Properties of Homomorphisms and Ideals in Ring Theory?
- Krizalid1
- · Replies 1 ·
Exact Sequences - Diagrams that 'commute' - Example
- Math Amateur
- · Replies 2 ·
Graduate Low-Dimensional Matrix Approximation
- jfy4
- · Replies 4 ·
Generalised Quaternion Algebra over K - Dauns Section 1-5 no 19
- Math Amateur
- · Replies 4 ·
Generalised Quaternion Algebra over K - Dauns Section 1-5 no 18
- Math Amateur
- · Replies 2 ·
Graduate Question about Hermitian matrices
- Bipolarity
- · Replies 4 ·
Graduate Does the characteristic polynomial encode the rank?
- Bipolarity
- · Replies 3 ·
High School Finding the Sample Mean of a Matrix
- EnglsihLearner
- · Replies 2 ·
Does the Isomorphism Between Field Extensions Determine the Minimal Polynomial?
- caffeinemachine
- · Replies 1 ·
High School Learning About Number Systems: 2 Basic Questions
- bobby2k
- · Replies 7 ·
Can Set Union Have an Additive Inverse Like Real Numbers?
- paulmdrdo1
- · Replies 4 ·
Graduate Error in proof for symmetry groups?
- Boorglar
- · Replies 10 ·
Generalised Quaternion Algebra over K - Dauns Section 1-5 no 17
- Math Amateur
- · Replies 6 ·
Undergrad Why Does My Matrix Vector Multiplication in FORTRAN Not Work as Expected?
- Milentije
- · Replies 3 ·
Matrix rings acting on right R-modules
- Math Amateur
- · Replies 5 ·
Matrix rings acting on right R-modules - Dauns - Exercises 1-5 no 2
- Math Amateur
- · Replies 4 ·
Is RA the Smallest Submodule of M Containing A?
- Math Amateur
- · Replies 2 ·
Linear System-Coset: Solve Exercise & Learn
- mathmari
- · Replies 17 ·
Graduate What Defines a Simple Magma in Mathematical Structures?
- Stephen Tashi
- · Replies 2 ·
Undergrad How do we represent multidimensional data vectors on a 2D plot.
- dexterdev
- · Replies 8 ·
Direct Products and Sums of Modules - Notation - 2nd Post
- Math Amateur
- · Replies 2 ·
Direct Products and Sums of Modules - Notation
- Math Amateur
- · Replies 2 ·
Eigenvalues of similar matrices
- Fernando Revilla
- · Replies 2 ·
How is the IBV3 Vector Applied in a Circle?
- karush
- · Replies 3 ·
Graduate Challenge V: Sylvester-Gallai Theorem, solved by Mandelbroth
- micromass
- · Replies 31 ·
Graphically solving 2X2 linear system and finding the line through 2 points
- drop
- · Replies 2 ·
Graduate Null Space of a Matrix and Its Iterates
- muzak
- · Replies 2 ·
What is the angle between vector a and b if a=-4i-2j and b=i-7j?
- karush
- · Replies 6 ·
Graduate Direct sum of the eigenspaces equals V?
- Bipolarity
- · Replies 3 ·
Undergrad How many equations are needed to solve this system?
- enceladus_
- · Replies 7 ·
Undergrad Understanding the Correct Representation of the Cross Product of Vectors
- phydis
- · Replies 13 ·
Find vector w in terms of i and j
- karush
- · Replies 5 ·
Could someone me to read the following line
- EnglsihLearner
- · Replies 3 ·
Positive definite matrix problems
- MrJava
- · Replies 8 ·
Undergrad Matrix multiplication, specifically elimination matrices.
- AJBMuir
- · Replies 2 ·
Graduate Question about vector space intersection properties
- raymo39
- · Replies 1 ·
Undergrad Is it possible one dimensional plane?
- EnglsihLearner
- · Replies 1 ·
Solving Linear Transformations in R2: Step by Step Guide
- Fernando Revilla
- · Replies 1 ·
Undergrad Linear Algebra: Understanding Matrix as a Linear Transformation
- EnglsihLearner
- · Replies 2 ·
Graduate How does the characteristic of a field affect symmetric bilinear forms?
- DUET
- · Replies 3 ·
Undergrad Polar unit vectors form a basis?
- V0ODO0CH1LD
- · Replies 11 ·
Positive Definite Matrices and Their Properties
- Fernando Revilla
- · Replies 4 ·
Find the position vector of P
- karush
- · Replies 2 ·
Graduate Proving When a Tensor is 0: M \cong M \otimes K
- Site
- · Replies 3 ·
Undergrad Trying to understand dot product of two DIFFERENT vectors
- symbolipoint
- · Replies 5 ·
A linear equation in 3 variables
- karush
- · Replies 3 ·
Graduate Euclidian and Hyperbolic rotations
- neerajareen
- · Replies 2 ·
Infinitely many least-square solutions
- Fernando Revilla
- · Replies 1 ·
Graduate Can Language Homomorphisms Map Truth Across Different Symbolic Systems?
- mXSCNT
- · Replies 3 ·