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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Undergrad How to form the transformation matrix for this
- Byang
- · Replies 3 ·
Graduate Can quaternion group be represented by 3x3 matricies?
- jackmell
- · Replies 11 ·
Graduate Solve System of 5 Equations with Jordan's Matrix Properties
- DanielSauza
- · Replies 2 ·
Function Field over k --> k(x) - Rotman Definition and Proposition 3.29
- Math Amateur
- · Replies 4 ·
What is the Rank of the Direct Sum of Torsion-free Groups?
- logan3
- · Replies 1 ·
Looking for a new Lie Algebra text
- topsquark
- · Replies 2 ·
Graduate Can You Help With Finite Element Analysis in Cylindrical Coordinates?
- colinven
- · Replies 2 ·
Graduate Is Every Finite Complex Representation of a Compact Lie Group Unitary?
- Andre' Quanta
- · Replies 1 ·
Graduate Finding elements in GL_2(R) with specific orders
- jackmell
- · Replies 1 ·
Prime Field of a Field k - Rotman Theorem 3.110
- Math Amateur
- · Replies 5 ·
Solving Linear Equations: 2 Planes from LAX - Cbarker1
- cbarker1
- · Replies 1 ·
Polynomial Rings _ Bland - Theorem 6.3.17
- Math Amateur
- · Replies 8 ·
Graduate What is the difference between algebraic structure and space
- mikeeey
- · Replies 2 ·
Polynomial Rings - Irreducibility
- Math Amateur
- · Replies 2 ·
Graduate Method to solve a coupled system of matrix equation
- duc
- · Replies 4 ·
Graduate Is it possible to find this number without brute force?
- julianwitkowski
- · Replies 4 ·
Why Do Functions \(X + UY\) and \(X - UY\) Have Zeroes Only at \(t = \pm 1\)?
- mathmari
- · Replies 1 ·
Graduate Linear algebra and choosing training vector
- perplexabot
- · Replies 1 ·
What Are the Solutions to the Equation \(x^2 + 2i = 0\)?
- karush
- · Replies 3 ·
Why does $Y_n$ have that specific form?
- mathmari
- · Replies 4 ·
Graduate Why is the set of cosines and sines a vector space?
- davidbenari
- · Replies 3 ·
Undergrad Solving Vector Equation: Obtain m from F=ma
- Mr Davis 97
- · Replies 7 ·
Understanding the Equivalence in Diophantine Relations
- mathmari
- · Replies 1 ·
Graduate Proving Inverse Functions: Multiplicative Relationships
- PFuser1232
- · Replies 3 ·
Graduate Independent elements of matrices?
- perplexabot
- · Replies 6 ·
Rational Functions - Polynomials Over a Field - Rotman Proposition 3.70
- Math Amateur
- · Replies 11 ·
UFDs .... Counterexample - I_8 = Z/8Z
- Math Amateur
- · Replies 8 ·
Polynomials Over a Field - Rotman, Lemma 3.87
- Math Amateur
- · Replies 3 ·
Undergrad How can I use matrix algebra to rotate a polygon and calculate new coordinates?
- thetexan
- · Replies 7 ·
Graduate Proof that all information can be coded in binary?
- jack476
- · Replies 3 ·
Graduate Not (null T) is a subspace of V?
- Ahmad Kishki
- · Replies 6 ·
Euclidean Rings - Rotman Example 3.76
- Math Amateur
- · Replies 2 ·
Properties of gcd's and relatively prime integers
- Kiwi1
- · Replies 2 ·
Polynomials Over a Field - Rotman, Lemma 3.67
- Math Amateur
- · Replies 6 ·
Why Is \(a\) a Unit in \(F[x]\) in Lemma 2 of Nicholson's Book?
- Math Amateur
- · Replies 10 ·
Undergrad Change of Basis, Covariant Vectors, and Contravariant Vector
- putongren
- · Replies 10 ·
Factor Rings of Polynomials Over a Field - Nicholson, Lemma 1, Page 224
- Math Amateur
- · Replies 7 ·
Finding unknown coefficients to give a unique solution in a linear system
- qybah
- · Replies 3 ·
Undergrad System of Linear Equations to Reduced Echelon Form
- mattyk
- · Replies 9 ·
Undergrad Can Linear Programming Solve Problems with Division Constraints?
- Cheema154
- · Replies 1 ·
Graduate Are there other symmetries on the plane besides the wallpaper and point groups?
- mnb96
- · Replies 8 ·
Graduate Equality of two elements of a hilbert space defined?
- pellman
- · Replies 11 ·
How Does Nicholson Apply Induction in Theorem 12 Proof?
- Math Amateur
- · Replies 4 ·
Is {0} Considered the Smallest Integral Domain?
- Kiwi1
- · Replies 1 ·
Graduate Scalar product and the Kronecker delta symbol
- Karol
- · Replies 4 ·
Bilinear transformation not working
- Sneaky6666
- · Replies 5 ·
Graduate Eigenvalues/eigenvectors using householder and QR
- mrcaze
- · Replies 5 ·
What algebra rule is used here to give the exponent 2 in step 2?
- hellothere2
- · Replies 2 ·
Why Does \( p \) Divide \( f \) in Nicholson's Theorem 11?
- Math Amateur
- · Replies 2 ·
Graduate Representation of Lorentz algebra
- naima
- · Replies 1 ·
Graduate How Are Dual Vector Components Determined by Basis Vectors?
- noahcharris
- · Replies 3 ·
Interpreting U={A|A^2=A, A is in M22}: Not a Subspace of M22
- bbelson01
- · Replies 4 ·
Factorization of Polynomials Over a Field - Nicholson Example 10, Page 215
- Math Amateur
- · Replies 2 ·
Proving Vector Subspace $U \notin R^3$
- bbelson01
- · Replies 2 ·
Graduate Asymmetry in MDS: Question on Unilateral Love & Hate
- noowutah
- · Replies 7 ·
Undergrad How to Find the Basis of an Image
- Abtinnn
- · Replies 6 ·
Undergrad Solve System of 4 Equations: Find x,y,u,v in Terms of a,b,c,d
- Bruno Tolentino
- · Replies 2 ·
How can we show the other direction?
- mathmari
- · Replies 4 ·
Graduate On formal concept analysis (fca)
- vandanak
- · Replies 1 ·
Undergrad How can a 2D plane and 3D space accurately represent all colors?
- Bruno Tolentino
- · Replies 9 ·
Undergrad Understanding: Eigenvalues & Eigenvectors/Diagonalizing
- ahmed markhoos
- · Replies 7 ·
Deriving Structure Factors for Lie Algebras | Dan's Project
- topsquark
- · Replies 0 ·
Proving $(x_n,y_n)$ Converge to $(20,20) for All $k$
- alexmahone
- · Replies 1 ·
Graduate Does phrase «Space over vector field» make any sense?
- SVN
- · Replies 5 ·
Graduate Prove that a finite set with cancellation laws is a group
- Happiness
- · Replies 9 ·
Real Algebraic Curves: Solving Example 1.4 from C.G. Gibson's Book
- Math Amateur
- · Replies 6 ·
Undergrad How does the cross product work?
- STENDEC
- · Replies 12 ·
Solving a Polynomial Equation - Discussion in Fraleigh - Page 204
- Math Amateur
- · Replies 1 ·
Farmer Maths: Solving Optimal Number Problems with Matrix Maths
- omarm1
- · Replies 2 ·
Graduate Door Rotation Matrix/Change of Basis Plus Translation
- Cora
- · Replies 6 ·
Affine Algebraic Curves - Kunz - Definition 1.1
- Math Amateur
- · Replies 6 ·
Kunz - Vanishing Ideal and Minimum Polynomial
- Math Amateur
- · Replies 3 ·
Graduate Affine Algebraic Curves - Kunz - Exercise 1 - Chapter 1
- Math Amateur
- · Replies 4 ·
How Do GCDs Coincide in Principal Ideals According to Rotman's Proposition 3.41?
- Math Amateur
- · Replies 1 ·
GCDs of Polynomials: Reading Rotman's Corollary 3.58
- Math Amateur
- · Replies 1 ·
Existential Theory: Understanding Last Proposition
- mathmari
- · Replies 1 ·
Undergrad Vector coordinates and its points
- jhosamelly
- · Replies 3 ·
Find the value of k for the following system to have no solutions etc?
- orgekas
- · Replies 2 ·
How Can We Construct a Unique Linear System From Given Conditions?
- orgekas
- · Replies 5 ·
Polynomials and Polynomial Functions in I_m = Z/mZ
- Math Amateur
- · Replies 1 ·
Ring Homomorphisms - Rotman - Theorem 3.33
- Math Amateur
- · Replies 2 ·
Proof Noetherian Ring: $M^2 \ne M$
- Amer
- · Replies 3 ·
Why Does Every Element in U(\mathbb{I}_m) Have an Inverse?
- Math Amateur
- · Replies 7 ·
Congruences - Rotman - Proposition 1.58
- Math Amateur
- · Replies 2 ·
Undergrad What is the relationship between the determinant and orientation in R^2?
- NotASmurf
- · Replies 5 ·
Congruences - Rotman - Proposition 1.58 - Second Question
- Math Amateur
- · Replies 1 ·
Graduate I'm stuck on a proof that's probably trivial, any insights?
- PsychonautQQ
- · Replies 10 ·
Undergrad Vandermonde Determinant, what am i doing wrong?
- PsychonautQQ
- · Replies 2 ·
Graduate Product of exponential of operators
- cpsinkule
- · Replies 1 ·
Undergrad What Are Examples of Non-Linear Operators in Mathematics?
- mikeeey
- · Replies 5 ·
Graduate Skew-symmetric matrix property
- ryan88
- · Replies 1 ·
Graduate Rotation matrix between two orthonormal frames
- santos2015
- · Replies 1 ·
Graduate Rewriting a constraint as a standard SOC constraint.
- FOIWATER
- · Replies 1 ·
Graduate Determining if logical matrix represents a partial order
- sciencectn
- · Replies 1 ·
Universal Property for Coproducts in Ab
- Math Amateur
- · Replies 4 ·
Shankar - Simultaneous Diagonalisation of Hermitian Matrices
- bugatti79
- · Replies 3 ·
Graduate Is conditional arrangement of cells in a mxn matrix unique?
- Adel Makram
- · Replies 6 ·
Find $\vec{AC}.\vec{AB}$ in Rectangle $ABCD$
- Albert1
- · Replies 2 ·
Graduate Proving uniqueness of a mathematical object
- "Don't panic!"
- · Replies 12 ·
Graduate Proving a linear algebra equation
- IlyaMath
- · Replies 3 ·