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 Centre of an Algebra .... and Central Algebras ....
- Math Amateur
- · Replies 17 ·
Centre of an Algebra .... and Central Algebras ....
- Math Amateur
- · Replies 7 ·
Graduate Modular forms, dimension and basis confusion, weight mod 1
- binbagsss
- · Replies 12 ·
How Do I Find the Eigenvalues of \(F^2\) for the Derivative Mapping in \(X\)?
- A.Magnus
- · Replies 7 ·
Find Eigenvalues of 4x4 Matrix with -1 & 3 Entries
- A.Magnus
- · Replies 8 ·
Comparing $gH$ and $Hg$ for Infinite & Finite Groups
- alexmahone
- · Replies 4 ·
Undergrad First Weyl Algebras .... A_1 ....
- Math Amateur
- · Replies 4 ·
First Weyl Algebras .... A_1 ....
- Math Amateur
- · Replies 2 ·
Understanding Bresar's Example 1.10 on Simple Matrix Rings: Can Anyone Help?
- Math Amateur
- · Replies 1 ·
Undergrad Introduction to Simple Matrix Rings in Noncommutative Algebra
- Math Amateur
- · Replies 1 ·
Undergrad N-Dimensional Real Division Algebras
- Math Amateur
- · Replies 6 ·
How should this matrix be multiplied
- mathlearn
- · Replies 4 ·
Subgroups of the dihedral group D6
- mathmari
- · Replies 9 ·
Proving Determinant of Mirror-Image Identity Matrix
- A.Magnus
- · Replies 4 ·
How can we compute the Galois group of a subgroup of a splitting field?
- mathmari
- · Replies 1 ·
Undergrad Frobenius Theorem - Bresar, Theorem 1.4 ....
- Math Amateur
- · Replies 6 ·
Undergrad Validity of proof of Cauchy-Schwarz inequality
- HaniZaheer
- · Replies 2 ·
Inverse of Giant $7 \times 7$ Matrix: Tips & Tricks
- A.Magnus
- · Replies 7 ·
Permutation question concerning cycle shapes
- Confusedalways
- · Replies 1 ·
Frobenius Theorem - Bresar, Theorem 1.4 ....
- Math Amateur
- · Replies 2 ·
Finding 3 natural numbers by the rule of Sarrus
- A.Magnus
- · Replies 2 ·
Undergrad Bresar, Lemma 1.3 - Real Quaternions .... Division Algebras
- Math Amateur
- · Replies 3 ·
Undergrad Bresar, Lemma 1.2 - Finite Division Algebras ....
- Math Amateur
- · Replies 9 ·
Undergrad Linear Algebra: characteristic polynomials and trace
- MrsM
- · Replies 11 ·
Undergrad Another Question about Finite Dimensional Division Algebras ....
- Math Amateur
- · Replies 14 ·
Show that the set of the upper triangular matrices is a ring
- mathmari
- · Replies 14 ·
Finite Dimensional Division Algebras - Bresar Lemma 1.1
- Math Amateur
- · Replies 2 ·
Undergrad Finite Dimensional Division Algebras - Bresar Lemma 1.1
- Math Amateur
- · Replies 4 ·
Undergrad First Sylow Theorem: Group of Order ##p^k## & Cyclic Groups
- Silviu
- · Replies 1 ·
Determining when a system of equations has no solution and infinite solutions
- Ankit2
- · Replies 2 ·
Undergrad A regular matrix <=> mA isomorphism
- member 587159
- · Replies 11 ·
Undergrad Unitary Matrix Representation for SU(2) Group: Derivation and Verification
- spaghetti3451
- · Replies 3 ·
Graduate Understanding the Cost Function in Machine Learning: A Practical Guide
- emmasaunders12
- · Replies 4 ·
High School Is identity matrix basis dependent?
- zonde
- · Replies 11 ·
The extension is Galois iff E is a splitting field of a separable polynomial of F[x]
- mathmari
- · Replies 1 ·
Undergrad What Does the Mysterious Symbol in a Formal Proof Represent?
- sa1988
- · Replies 6 ·
Is This Matrix Idempotent?
- mathmari
- · Replies 2 ·
How Do You Calculate Ore Production and Costs for Zinc and Aluminium?
- mathmari
- · Replies 12 ·
Index of Positivity in Quadratic Form: $f(X) = \sum^{n}_{i=1} x_{2}^{i}$
- A.Magnus
- · Replies 2 ·
Is there a more efficient way to determine the basis of a subspace?
- mathmari
- · Replies 2 ·
Dimension of Dirac Functionals in $V$: Find the Answer
- A.Magnus
- · Replies 8 ·
Graduate Quaternions: Extension of Real Numbers?
- Topolfractal
- · Replies 6 ·
The extension is Galois iff H_i is a normal subgroup of H_{i-1}
- mathmari
- · Replies 1 ·
Can the vectors be written as a linear combination?
- mathmari
- · Replies 5 ·
Undergrad From Non Hermitian to Hermitian Matrix
- IWantToLearn
- · Replies 2 ·
How Does Eisenstein's Criterion Confirm the Irreducibility of a Polynomial?
- mathmari
- · Replies 13 ·
Graduate (sum to infinity of divisor function)^{2} -- simplify the expression
- binbagsss
- · Replies 2 ·
Solve Exponential Fraction Equation for $α$ ($C$, $m$)
- Stijn
- · Replies 2 ·
Graduate Modular Forms: Non-holomorphic Eisenstein Series E2 identity
- binbagsss
- · Replies 1 ·
Show that the mapping is surjective
- mathmari
- · Replies 2 ·
How to Prove Galois Extension Statements in a Normal and Separable Field?
- mathmari
- · Replies 4 ·
How Can We Geometrically Describe Vectors Orthogonal to the Vector $(-4,1,-3)$?
- mathmari
- · Replies 2 ·
High School Understanding the Dagger Notation in Quantum Mechanics
- Mayan Fung
- · Replies 8 ·
Undergrad Representing vectors with respect to a basis
- Mr Davis 97
- · Replies 8 ·
Undergrad Rotation Matrix for Vector v=(a,b,c) by Angle θ | Efficient Computation Method
- Silviu
- · Replies 4 ·
Are Mutually Perpendicular Vectors Always Linearly Independent?
- A.Magnus
- · Replies 6 ·
Undergrad Why Is the Ratio of y2/y1 Not Constant for Linearly Independent Vectors?
- Cantspel
- · Replies 3 ·
Undergrad Linear regression on data collection error
- Travis T
- · Replies 2 ·
Undergrad Orthogonal basis to find projection onto a subspace
- Mr Davis 97
- · Replies 5 ·
Is Each Extension of Degree 2 Normal?
- mathmari
- · Replies 1 ·
Undergrad Normalizer of a subgroup of prime index
- Silviu
- · Replies 6 ·
Undergrad Artinian Modules - Bland - Proposition 4.24
- Math Amateur
- · Replies 3 ·
How can I prove the rank of a matrix with a specific pattern of entries?
- A.Magnus
- · Replies 2 ·
High School How do we obtain a Taylor expansion of a non-linear functional?
- naima
- · Replies 3 ·
Undergrad Example from Bland - Right Artinian but not Left Artinian ...
- Math Amateur
- · Replies 2 ·
Example from Bland - Right Artinian but not Left Artinian ....
- Math Amateur
- · Replies 2 ·
Undergrad What is the meaning of N(H) in subgroup notation?
- Silviu
- · Replies 1 ·
Proving Positive Definite Scalar Product for $n \times n$ Matrices
- rputra
- · Replies 1 ·
Undergrad Solving simultaneous equations with matrix
- saranga
- · Replies 9 ·
Example from Bland - Right Noetherian but not Left Noetherian
- Math Amateur
- · Replies 5 ·
Undergrad Example - Bland - Right Noetherian but not Left Noetherian
- Math Amateur
- · Replies 9 ·
Undergrad Eigenvectors for degenerate eigenvalues
- dyn
- · Replies 7 ·
Question for null space of a matrix
- shiecldk
- · Replies 1 ·
Undergrad Standard Free Right R-Module on X - B&K Section 2.1.16
- Math Amateur
- · Replies 2 ·
The irreducible polynomial is not separable
- mathmari
- · Replies 1 ·
Why Are My Gram-Schmidt Results Different on Wolfram|Alpha and MATLAB?
- nedf
- · Replies 3 ·
Undergrad Factorization of a matrix equation
- Mr Davis 97
- · Replies 6 ·
Undergrad Is the set {e^x, x^2} linearly independent?
- member 587159
- · Replies 4 ·
Finding a 3rd polynomial to create a basis.
- Harambe1
- · Replies 1 ·
Undergrad How to prove that shear transform is similarity-invariant?
- swampwiz
- · Replies 5 ·
Splitting Field of $g$ over $F$?
- mathmari
- · Replies 16 ·
Graduate 3dim Poincare Algebra - isl(2,R)
- bob2
- · Replies 5 ·
Undergrad Motivation and proof behind cross products
- Terrell
- · Replies 5 ·
Undergrad The Relationship Between Rank and Elements in a Jacobian Matrix
- spaghetti3451
- · Replies 2 ·
Undergrad What does adjacent indices mean in the context of matrix multiplication?
- Oppie
- · Replies 2 ·
Finding B^-1 in 3x3 Matrices with Linear Algebra
- mahmoud shaaban
- · Replies 3 ·
Graduate How Do Engel and Lie Arise Naturally?
- bolbteppa
- · Replies 5 ·
Some basic question about vector spaces
- karseme
- · Replies 3 ·
Undergrad Matrix Notation: ℝm x n Meaning & Vectors
- dyn
- · Replies 12 ·
Undergrad Basic Question about a Ring Homomorphisms
- Math Amateur
- · Replies 10 ·
Undergrad Is Every Isomorphism in Vector Spaces Reflexive?
- member 587159
- · Replies 15 ·
Proving Convexity: Steps and Conditions for a Set to be Convex
- rputra
- · Replies 6 ·
Undergrad Are There n!/2 Even/Odd Permutation Matrices for nxn?
- Terrell
- · Replies 3 ·
Basic Question on Ring Homomorphisms
- Math Amateur
- · Replies 1 ·
Undergrad Proving Matrix exponential property
- kidsasd987
- · Replies 1 ·
The splitting field of f over F is also the splitting field of f also over E
- mathmari
- · Replies 1 ·
Zero matrix with non-zero above diagonal
- rputra
- · Replies 4 ·
Undergrad Understanding r^t & a: Seeking Clarification on Raman Spectra
- chobo
- · Replies 4 ·
Undergrad Matrix Rings - Basic Problem with Meaning of Notation
- Math Amateur
- · Replies 8 ·
How Do You Interpret Rowen's Notation in Matrix Rings?
- Math Amateur
- · Replies 2 ·