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
What Are the Key Properties of Reflections, Rotations, and Similitude Mappings?
- mathmari
- · Replies 22 ·
Undergrad Nice intro to connections between algebra and geometry
- SVN
- · Replies 4 ·
Rotation around an arbitrary point
- mathmari
- · Replies 8 ·
Finding the Centroid of a Triangle Using Coordinates
- mathmari
- · Replies 12 ·
Find XYZ for Tip of Vector Given Info on 2 Other Vectors w/ Tails at Same Point
- LMHmedchem
- · Replies 3 ·
How Do You Find the Equation of a Polar Line for a Circle with Given Points?
- mathmari
- · Replies 8 ·
How to Calculate the Distance Between Parallel Lines in Hesse Normal Form?
- mathmari
- · Replies 8 ·
How to Calculate the Equation of a Tangent Line to a Circle?
- mathmari
- · Replies 3 ·
Graduate Getting as close as possible to a solution (system of equations)?
- tjosan
- · Replies 4 ·
High School Galois Groups .... A&F Example 47.7 .... ....
- Math Amateur
- · Replies 4 ·
Galois Groups .... A&F Example 47.7 .... ....
- Math Amateur
- · Replies 2 ·
Groups of Automorphisms - remarks by Anderson and Feil ....
- Math Amateur
- · Replies 5 ·
Galois Groups .... A&W Theorem 47.1 .... ....
- Math Amateur
- · Replies 2 ·
Undergrad Galois Groups .... A&W Theorem 47.1 .... ....
- Math Amateur
- · Replies 6 ·
Groups of Automporphisms - Aut(C) .... Anderson and Feil Ch. 24 ....
- Math Amateur
- · Replies 8 ·
Undergrad Finite Extensions - A&F Example 44.2 .... ....
- Math Amateur
- · Replies 2 ·
Basic Notation for Field Extensions .... ....
- Math Amateur
- · Replies 2 ·
Finite Extensions - A&F Example 44.2 .... ....
- Math Amateur
- · Replies 1 ·
Undergrad Why is there a Matrix A that satisfies F(x,y)=<Ax,y>?
- nightingale123
- · Replies 4 ·
Change from cartesian coordinates to cylindrical and spherical
- akkex
- · Replies 2 ·
Undergrad Finding the inverse of a matrix using transformations?
- parshyaa
- · Replies 8 ·
Undergrad Divergent Sums of Linearly Independent Elements
- Gear300
- · Replies 14 ·
Graduate Dot Product of Streaming vectors
- zheng004
- · Replies 18 ·
Undergrad Splitting Fields: Anderson and Feil, Theorem 45.6 ....
- Math Amateur
- · Replies 7 ·
Splitting Fields: Anderson and Feil, Theorem 45.6 ....
- Math Amateur
- · Replies 1 ·
Undergrad What does the multiplication of matrix represents?
- parshyaa
- · Replies 2 ·
How Do Planes Intersect in Various Linear Systems?
- srg263
- · Replies 6 ·
Undergrad Splitting Fields: Anderson and Feil, Theorem 45.5 ....
- Math Amateur
- · Replies 9 ·
Galois Theory - Fixed Field of F and Definition of Aut(K/F) ....
- Math Amateur
- · Replies 2 ·
Splitting Fields: Anderson and Feil, Theorem 45.4
- Math Amateur
- · Replies 6 ·
What is the method for solving vector problems with component form and addition?
- Coder74
- · Replies 5 ·
Undergrad Splitting Fields: Anderson and Feil, Theorem 45.4 ....
- Math Amateur
- · Replies 3 ·
What is the Linear Equation for the Yield of an Orange Grove?
- mathdad
- · Replies 6 ·
Undergrad Why is the Identity Matrix essential in Multivariable Control Theory?
- MikeSv
- · Replies 7 ·
Undergrad Galois Theory - Fixed Field of F and Definition of Aut(K/F)
- Math Amateur
- · Replies 2 ·
Undergrad Galois Theory - Fixed Subfield of K by H ....
- Math Amateur
- · Replies 5 ·
Galois Theory - Fixed Subfield of K by H ....
- Math Amateur
- · Replies 2 ·
Galois Theory: Textbook recommendations?
- Kiwi1
- · Replies 2 ·
Undergrad Galois Theory - Structure Within Aut(K/Q) ....
- Math Amateur
- · Replies 6 ·
High School Associativity of Matrix multiplication
- Buffu
- · Replies 15 ·
Automorphisms of Field Extensions .... Lovett, Example 11.1.8 .... ....
- Math Amateur
- · Replies 2 ·
Undergrad Automorphisms of Field Extensions .... Lovett, Example 11.1.8
- Math Amateur
- · Replies 5 ·
Undergrad Developing Intuition Behind Affine Subspaces: A Sample Problem
- Erik109
- · Replies 6 ·
High School Why does every subfield of Complex number have a copy of Q?
- Buffu
- · Replies 33 ·
High School Vector Space over Field of Real Numbers
- Buffu
- · Replies 7 ·
High School ##AB = I \implies BA = I##, for square matricies ##A,B##
- Buffu
- · Replies 15 ·
Nested Matrix Elements: Define \Gamma^{\dagger}?
- topsquark
- · Replies 1 ·
Undergrad Intuition behind elementary operations on matrices
- Mr Real
- · Replies 48 ·
High School What Does 'Simultaneous' Mean in Linear Equations?
- mech-eng
- · Replies 1 ·
High School Is AB Invertible If n < m and B has a Non-Trivial Kernel?
- Buffu
- · Replies 6 ·
High School Understanding Invertible Matrices and Homogenous Systems
- Buffu
- · Replies 15 ·
Undergrad Vector Parity: +1 or -1? Scalar Difference Explained
- Diksha17
- · Replies 1 ·
High School What do "linear" and "abstract" stand for?
- Buffu
- · Replies 12 ·
Undergrad Field Extensions and "Free Parameters"
- Math Amateur
- · Replies 18 ·
Undergrad Example of an Inseparable Polynomial .... Lovett, Page 371 ...
- Math Amateur
- · Replies 3 ·
High School Proof of elementary row matrix operation.
- Buffu
- · Replies 9 ·
Undergrad Existence and Uniqeness of Finite Fields ....
- Math Amateur
- · Replies 3 ·
Existence and Uniqeness of Finite Fields .... Example from D&F ....
- Math Amateur
- · Replies 2 ·
Undergrad Separable Polynomials - Dummit and Foote - Proposition 37
- Math Amateur
- · Replies 5 ·
Undergrad Separable Polynomials - Remarks by Dummit and Foote .... ....
- Math Amateur
- · Replies 1 ·
Undergrad Separable Polynomials - Paul E Bland's definition and exampl
- Math Amateur
- · Replies 8 ·
Undergrad Splitting Fields and Separable Polynomials ....
- Math Amateur
- · Replies 6 ·
Undergrad Are There Nontrivial Solutions to the Matrix Equation X C X^T = C?
- vibe3
- · Replies 9 ·
Solve Bracelet Problem w/14 Beads (Red, White, Blue)
- mrtwhs
- · Replies 1 ·
Graduate How can I resolve band assignment issues in 3D simulations using Ansoft Maxwell?
- Farh
- · Replies 3 ·
Graduate What if the (semi) field characteristic of N is not zero?
- Cathr
- · Replies 3 ·
Graduate How can I find the collision time of 2 ellipsoids that rotate
- Guy Ab
- · Replies 1 ·
Why is x^2 + 1 an Irreducible Polynomial?
- mathdad
- · Replies 7 ·
Field Extensions - Dummit and Foote - Exercise 13, Section 13.2 .... ....
- Math Amateur
- · Replies 5 ·
Undergrad Building a Unitary Matrix from a Non-Unitary Matrix
- MrRobotoToo
- · Replies 2 ·
Help with Dummit & Foote Exercise 1, Section 13.2 - Algebraic Extensions
- Math Amateur
- · Replies 2 ·
Algebraic Extensions - Dummit and Foote, Propositions 11 and 12 .... ....
- Math Amateur
- · Replies 2 ·
Undergrad Algebraic Extensions - Dummit and Foote, Propn 11 and 12 ....
- Math Amateur
- · Replies 3 ·
Undergrad Why is the dot product equivalent to matrix multiplication?
- rdgn
- · Replies 4 ·
Splitting Fields - Example 3 - D&F Section 13.4, pages 537 - 538
- Math Amateur
- · Replies 2 ·
Undergrad Tensor Invariance and Coordinate Variance
- vanhees71
- · Replies 6 ·
Undergrad Splitting Fields - Example 3 - D&F Section 13.4, pages 537 -
- Math Amateur
- · Replies 2 ·
Basic Theory of Field Extensions - Exercise from D&F ....
- Math Amateur
- · Replies 2 ·
Undergrad Affine transformation and coordinates of maps
- H Psi equal E Psi
- · Replies 1 ·
Undergrad Similar Polygon Comparison for School Project
- YouWayne
- · Replies 9 ·
Undergrad Algebraic Extensions - Lovett, Example 7.2.7 .... ....
- Math Amateur
- · Replies 4 ·
Graduate 4th order tensor inverse and double dot product computation
- Experience111
- · Replies 1 ·
How Do You Solve the Equation 183997272.140609=SUM((X/PI())/SQRT(9)/16)?
- waptrick
- · Replies 2 ·
Undergrad Distinction between coordinates and vectors
- Mr Davis 97
- · Replies 7 ·
Field Extensions - Remarks by Lovett - Page 326 .... ....
- Math Amateur
- · Replies 4 ·
Undergrad Field Extensions - Remarks by Lovett - Page 326 .... ....
- Math Amateur
- · Replies 1 ·
Solve Word Problem w/ Matrices: Chapter I
- megacat8921
- · Replies 3 ·
Undergrad Field Extensions - Lovett, Theorem 7.1.10 - Another question
- Math Amateur
- · Replies 6 ·
Undergrad Why are polynomials defined the way they are in algebra?
- Mr Davis 97
- · Replies 2 ·
Fields and Field Extensions - Dummit and Foote, Ch. 13 .... ....
- Math Amateur
- · Replies 2 ·
Undergrad Understanding Extension Fields & Polynomials
- Mr Davis 97
- · Replies 1 ·
Undergrad Why Avoid Low Values of h in Derivative Estimations?
- Ethan Singer
- · Replies 2 ·
Graduate Relation between Vector Norms in Cylindrical and Cartesian Coordinates
- LagrangeEuler
- · Replies 2 ·
Undergrad Difference between an Algebra and a Vector space
- Milsomonk
- · Replies 2 ·
Undergrad Fields and Field Extensions - Dummit and Foote, Ch. 13 .... .
- Math Amateur
- · Replies 4 ·
Undergrad Group Theory: Multiplicative Cosets Explained
- Mr Davis 97
- · Replies 2 ·
Field Extensions - Lovett, Theorem 7.1.10 .... ....
- Math Amateur
- · Replies 2 ·
Undergrad Fields and Field Extensions - Lovett, Chapter 7 .... ....
- Math Amateur
- · Replies 15 ·
Undergrad Why must an isomorphism between 2Z and 3Z result in mu(2) = +/- 3?
- Mr Davis 97
- · Replies 7 ·
Fields and Field Extensions - Lovett, Chapter 7 .... ....
- Math Amateur
- · Replies 2 ·