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 What is the Lower Bound for the Determinant of a Circulant Matrix?
- EngWiPy
- · Replies 13 ·
Graduate General question about orbits (group theory)
- linda300
- · Replies 1 ·
Graduate How do you evaluate a norm like this?
- GridironCPJ
- · Replies 1 ·
Undergrad What went wrong with my solution for a damped mass spring system?
- FHamster
- · Replies 3 ·
Graduate How to find the plane at which two hyperplanes intersect.
- jenny_shoars
- · Replies 2 ·
Graduate Vector space or inner product space - ambiguous
- spaghetti3451
- · Replies 27 ·
Undergrad Simple factorial and matrix question
- arpace
- · Replies 1 ·
Graduate Permutation describing action on G-set
- Jesssa
- · Replies 9 ·
Undergrad Cartesian equation of plane using two lines?
- alakd
- · Replies 1 ·
Undergrad What is the significance of the zero vector in a vector space?
- 74197
- · Replies 4 ·
Undergrad How Do You Determine the Maximum Order of an Element Modulo n?
- Ferzurio
- · Replies 10 ·
Graduate Dimension of a Set of Transformations
- jsgoodfella
- · Replies 7 ·
Find Center of Groups of Order 8
- Fessenden
- · Replies 2 ·
Graduate Abelian group on the natural numbers (including 0) ?
- jobsism
- · Replies 12 ·
High School Does the following point lie on plane?
- salistoun
- · Replies 3 ·
Undergrad Finding out a equation of a plane that is parallel to a plane
- salistoun
- · Replies 1 ·
Graduate Is There a General Way to Format a Counterexample for Diagonal Matrices?
- jsgoodfella
- · Replies 5 ·
Graduate Sylvester's Criterion for Infinite-dimensional Matrices
- ilp89
- · Replies 10 ·
Undergrad Linear Transformations and Bases
- Math Amateur
- · Replies 4 ·
How Many 3x3 Non-Singular Matrices Exist with Four 1s and Five 0s?
- juantheron
- · Replies 1 ·
Graduate Confusion: computation of class number of K=Q(sqrt(30))
- iccanobif
- · Replies 4 ·
Graduate Understanding the Ideal Class Group of Q(√-17)
- Omukara
- · Replies 4 ·
Undergrad How to interpret absolute value bars?
- aj-smith
- · Replies 1 ·
Graduate Galois Groups of Extensions by Roots of Unity
- lugita15
- · Replies 7 ·
Graduate Combinatorial Number Theory Problem
- Mathguy15
- · Replies 5 ·
Undergrad Confused with working out the span of a set of vectors in R^2
- gilabert1985
- · Replies 2 ·
Graduate How to know if an infinite system of linear equations has a solution
- f22rumaj
- · Replies 1 ·
What is the Complete Set of 2x2 Matrices Satisfying $A^2-4A+3I=0$?
- juantheron
- · Replies 8 ·
Graduate Rational numbers that form a group under addition
- Pippi
- · Replies 4 ·
Undergrad Finding a basis for the following vectors.
- kingkong69
- · Replies 2 ·
Graduate Equal Distances Between N Points in R^n-1+ | Solving System of Equations
- julypraise
- · Replies 2 ·
Undergrad PA=LU decomposition (w/ Partial Pivoting)
- sid9221
- · Replies 1 ·
High School Algebraic multiplicity of matrix
- srinivasanlsn
- · Replies 9 ·
Graduate How to make matrix positive definite (when it is not)?
- colstat
- · Replies 3 ·
Graduate Is the Number of Free Variables Constant in Echelon Form Systems?
- Rasalhague
- · Replies 3 ·
Undergrad What are Ideals and Polynomial Rings? A Simple Explanation and Concrete Example
- glebovg
- · Replies 11 ·
Graduate Help Develop Tongue in Cheek Abstract Algebra Proof
- monkhommey
- · Replies 5 ·
Graduate Maximum inner product between two orthgonal vectors (in standard dot procut))
- FoldHellmuth
- · Replies 4 ·
Undergrad Show that two polynomials cannot span P2.
- kingkong69
- · Replies 3 ·
Undergrad Group representations, interesting aspects?
- ArcanaNoir
- · Replies 3 ·
Undergrad Finding the basis for a set of vectors.
- kingkong69
- · Replies 2 ·
Undergrad Writing a matrix as sum of a constant * matrix
- 2slowtogofast
- · Replies 6 ·
Graduate Solving Quadratic Diophantine Equations with A=0, C=0
- sparsh12
- · Replies 3 ·
Undergrad Linear independence of sin (x), cos (x) and 1, proof
- Luka
- · Replies 5 ·
High School Zeroes at the end of a FACTORIAL
- murshid_islam
- · Replies 7 ·
Graduate Finite Reflection Groups in Two Dimensions - R2
- Math Amateur
- · Replies 4 ·
Graduate So is chike obo proof of fermat's last theorem
- Futuregen600
- · Replies 3 ·
Undergrad Proving 2-Norm of A: Understanding the Relationship Between u and v
- GridironCPJ
- · Replies 6 ·
Graduate Field extension, properties,proof
- ivos
- · Replies 5 ·
Graduate Continuous matrix = differential operator?
- nonequilibrium
- · Replies 1 ·
Graduate Are e and π Transcendental Numbers? Investigating the Rationality of e + π
- glebovg
- · Replies 2 ·
Undergrad How to calculate powers of a 2x2 matrix WITHOUT eigenvectors ?
- sid9221
- · Replies 1 ·
Graduate Proving Jordan Canonical Form for Similarity of Matrices with Same Polynomials
- Bhatia
- · Replies 1 ·
Undergrad Computing a kronecker product of two matrices
- Amok
- · Replies 2 ·
Graduate Finding Real Solutions for x-tanh ax = 0 with a>1
- physicsblr
- · Replies 16 ·
Graduate Does d dividing n imply phi(d) divides phi(n)?
- xax
- · Replies 11 ·
Undergrad Question on subspaces and spans of vector spaces
- juanma101285
- · Replies 3 ·
Graduate Offset between non-homogeneous and homogeneous recurrence sequences
- dodo
- · Replies 3 ·
Graduate Aligning a matrix with its eigen vectors and other questions?
- Dr Bwts
- · Replies 3 ·
Graduate Jordan Normal Form & Generalized Eigenvectors
- Tachyon314
- · Replies 2 ·
Graduate Induction Method: My Question About Theorem in Finite Groups
- moont14263
- · Replies 1 ·
Graduate How to learn to like number theory
- nonequilibrium
- · Replies 8 ·
Undergrad Eigenvalues of the product of two matrices
- Hassan2
- · Replies 24 ·
High School Understanding Vector Products - Mike's Query
- mikedamike
- · Replies 2 ·
Graduate Mertens function : new formulation
- Gaussianheart
- · Replies 6 ·
Graduate Help me understand a line in an ATA is positive, semi-definite proof
- psholder
- · Replies 1 ·
Undergrad Matrix Multiplication to translate object with given vertices
- Phys121VIU
- · Replies 4 ·
Graduate Proving that the parity of a permutation is well defined.
- espen180
- · Replies 3 ·
Graduate Factorize x^2 - z*y^2 with Gcd(x,y)=1, Gcd(x,z)=1, Gcd(y,z)=1, and z squarefree
- Gaussianheart
- · Replies 15 ·
Undergrad Eigenvalues & Eigenvectors: Repeated vs Distinct
- LikeMath
- · Replies 1 ·
Graduate Expressing matrices as outer product of two vectors
- mnb96
- · Replies 12 ·
Graduate Putting a matrix into Rational Canonical Form
- imurme8
- · Replies 2 ·
Undergrad Matrix Multiplication and Commuting
- Little Devil
- · Replies 12 ·
Graduate Describing Matrix/Transformation by Eigens.
- WWGD
- · Replies 4 ·
Undergrad How to calculate complex dot products
- BOYLANATOR
- · Replies 7 ·
Undergrad Relationship between eigenspace and column space
- ybhan23
- · Replies 3 ·
Undergrad Quick question about groups and their properties
- jackscholar
- · Replies 5 ·
Undergrad Algebraic multiplicity of the matrix
- srinivasanlsn
- · Replies 5 ·
Graduate Confusion between orthogonal sum and orthogonal direct sum
- logarithmic
- · Replies 2 ·
Undergrad Relationship between column space of a matrix and rref of matrix
- srfriggen
- · Replies 7 ·
Graduate Lanczos Method: Calculating Smallest Eigenvalues
- Hassan2
- · Replies 4 ·
Graduate Can a nonabelian group of order p^3 be constructed for any prime p?
- joeblow
- · Replies 9 ·
Undergrad Mathematica Vector Fields Explaination.
- the-ever-kid
- · Replies 2 ·
Graduate Various Proofs Regarding Divisors and Properties of Divisors
- kripkrip420
- · Replies 17 ·
Undergrad Definition questions for linear algebra
- futeca
- · Replies 3 ·
Graduate Linear Algebra Proof of Span and orthogonal vector space
- sbj5533
- · Replies 1 ·
Are Units and Principal Ideals Related in Rings?
- Poirot1
- · Replies 7 ·
Graduate Maximal number of bases for which composite number is Fermat pseudoprime
- pedja
- · Replies 2 ·
Undergrad Solving Vector Norm with F Matrix: Advice from Jo
- jollage
- · Replies 2 ·
Undergrad Meaning of eigenvectors and values of a 2x2 matrix (2nd order tensor)
- hiroman
- · Replies 3 ·
Graduate How Can the Fibonacci Sequence Be Proved by Induction?
- williampb
- · Replies 1 ·
Graduate Can Eigenvalues of Matrix Addition Be Simplified?
- vkillion
- · Replies 3 ·
Undergrad What Does \Re2 \rightarrow \Re2 Mean in Linear Transformations?
- DmytriE
- · Replies 5 ·
Graduate Is f(a) Always 1 or Legendre Symbol?
- squire636
- · Replies 10 ·
Solving for Unit Vectors in U Given Vector 1 and Matrix S
- cylers89
- · Replies 1 ·
Graduate How to prove that pZ is a maximal ideal for the ring of integers?
- AdrianZ
- · Replies 25 ·
Graduate Picard-Vessiot Extension over a Differential Field?
- KarmonEuloid
- · Replies 3 ·
Proving Orthogonal Polynomials: A Weighted Integral
- Amer
- · Replies 5 ·
Graduate Where does p = 5 (mod 8) solve x^2 = a?
- squire636
- · Replies 5 ·
Graduate A≡b mod n true in ring of algebraic integers => true in ring of integers
- nonequilibrium
- · Replies 4 ·