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 Eigenvalues of a complex symmetric matrix
- sodaboy7
- · Replies 14 ·
Graduate Infinite ring with exactly two non trivial maximal ideals
- LikeMath
- · Replies 4 ·
Undergrad Orthogonal set - Geometric interpretation
- shounakbhatta
- · Replies 1 ·
Graduate Can you explain me why this is also isomorphism?
- matematikuvol
- · Replies 4 ·
Graduate How can I write the determinant as traces in this paper on complex matrices?
- rbwang1225
- · Replies 1 ·
Graduate Group action and equivalence relation
- Damidami
- · Replies 2 ·
Undergrad When to use RREF in finding Eigenvectors
- selig5560
- · Replies 2 ·
Graduate If F is inner automorphism , what does this mean ?
- Maths Lover
- · Replies 2 ·
Graduate Are All Generating Sets in a Free Group Equally Cardinal?
- sammycaps
- · Replies 9 ·
Undergrad Non-homogenous secx ODE's and Euler eq's
- hivesaeed4
- · Replies 3 ·
Why do we need to convert to a diagonal matrix?
- matqkks
- · Replies 2 ·
Graduate How do I use Chinese remainder theorem to solve for x mod 683 in Cryptography?
- GatorPower
- · Replies 12 ·
Undergrad If A is singular; solution space of Ax=b
- Bipolarity
- · Replies 4 ·
Undergrad Dot product, is (a.b).(a.b)=(a.a).(b.b) ?
- lemd
- · Replies 3 ·
Undergrad How do I calculate the new coordinates after rotating the coordinate axes?
- CrazyNeutrino
- · Replies 6 ·
Graduate How Do We Define Stability in a Dynamically Growing System?
- nacadaryo
- · Replies 1 ·
Graduate Determinant of enlarged Correlation Matrix
- LocalVol
- · Replies 1 ·
Graduate Why Are Homomorphisms of Infinite Cyclic Groups Well-Defined?
- sammycaps
- · Replies 10 ·
Error in Strogatz's formula for average powers of sine
- Dustinsfl
- · Replies 6 ·
Undergrad Linear Algebra (Symmetric Matrix)
- MoBaT
- · Replies 3 ·
Undergrad What is a Quotient Group? A Simple Explanation
- Solid Snake
- · Replies 2 ·
Graduate How to solve for solutions to the diophantine 5b^2*c^2 = 4a^2(b^2+c^2)
- SeventhSigma
- · Replies 55 ·
Undergrad Intuitive explanation of singular values and their significance
- mikeph
- · Replies 9 ·
Graduate How do I solve a Jacobian problem involving a determinant?
- Centurion1
- · Replies 1 ·
Graduate Irreducibility of Polynomial part deux
- Square1
- · Replies 3 ·
Unique x for all g in G such that $x^m=g$?
- Poirot1
- · Replies 6 ·
Undergrad Basis/Unit vectors in other coordinate systems
- Vorde
- · Replies 10 ·
Undergrad Understanding L U Factorization to Solving Linear Systems
- symbolipoint
- · Replies 4 ·
Graduate Why does the contradiction in this R^∞ dimensionality proof work?
- JamesGold
- · Replies 1 ·
Graduate The Cartan matrix in order to find the roots.
- AlbertEi
- · Replies 4 ·
Undergrad How Can Whole Numbers Be Defined Without Addition?
- MendelCyprys
- · Replies 3 ·
Possible title: Linear Optimization Problem: Finding Optimal Solutions
- goosey00
- · Replies 4 ·
Does R/N Form a Ring with Unity if N is a Proper Ideal of R?
- Fantini
- · Replies 2 ·
Normal p-group contained in all p-Sylow subgroups of G
- Poirot1
- · Replies 9 ·
Direct product of abelian groups. Isomorphism.
- caffeinemachine
- · Replies 4 ·
Graduate What Is the Significance of 3.5036799918564934004113 in Mathematics?
- Norm850
- · Replies 9 ·
Graduate Why is V*V positive definite when V is invertible?
- BrainHurts
- · Replies 4 ·
Graduate Derivative of matrix square root
- cpp6f
- · Replies 4 ·
Proving Field Isomorphism: $\sigma (x) = x$ for $x \in K$
- Fantini
- · Replies 9 ·
Graduate Are There Finite Solutions to Generalized Bocard's Problem for Non-Square A?
- Someone2841
- · Replies 3 ·
Prove that A multiplied by its transpose is symmetric
- Yankel
- · Replies 6 ·
Find Point E in Harmonic Range with A, B, C using Cross Ratio -1
- Poirot1
- · Replies 2 ·
Graduate Irrational circles about the orgin
- ramsey2879
- · Replies 4 ·
Graduate What is Kern and its relation to skew Hermitian matrices?
- BrainHurts
- · Replies 4 ·
Quotient Ring of a Field: Is it Trivial or Isomorphic to the Field?
- Fantini
- · Replies 2 ·
Undergrad Deriving the algebraic definition the dot product
- autodidude
- · Replies 9 ·
Conditions for integral domain to be a PID
- oblixps
- · Replies 6 ·
Is Every Homomorphism of a Field to a Ring One-to-One or Null?
- Fantini
- · Replies 2 ·
What is the definition of dividing vectors in R^2 using points P, Q, R, and S?
- Poirot1
- · Replies 9 ·
O(G)=56. Sylow 2 subgroup has all its elements of order 2.
- caffeinemachine
- · Replies 1 ·
Undergrad Angle between vector and its transpose
- newphysist
- · Replies 18 ·
Invertible Matrices: Why These Statements Are Not Correct
- Yankel
- · Replies 1 ·
Property of Matrix Multiplication
- Yankel
- · Replies 3 ·
Undergrad Determinant is independent of row/column
- Bipolarity
- · Replies 1 ·
Undergrad Learning eigenvectors for a last-minute linear algebra assignment
- jey1234
- · Replies 3 ·
Undergrad A is not square but rank(A) = rank(A') ?
- mikeph
- · Replies 2 ·
Graduate Why Do Prime Numbers Play a Role in Proving the Irreducibility of Polynomials?
- Square1
- · Replies 1 ·
Finite group of order 4n+2 then elements of odd order form a subgroup.
- caffeinemachine
- · Replies 4 ·
What is the image of \(ax+by+c=0\) under \(f\)?
- Poirot1
- · Replies 1 ·
Undergrad The question is , if f(n)= 1+10+10^2 + + 10^n , where n is
- sigh1342
- · Replies 3 ·
Graduate Inverse of a positive semi-definite matrix?
- mikeph
- · Replies 1 ·
Linear Combinations and description geometrically
- kanderson
- · Replies 8 ·
Graduate Completing the basis of a matrix, Jordan form related
- fluidistic
- · Replies 18 ·
Undergrad Linear Equation Solutions: A Systematic Approach for n1xn2 and n1xm2 Matrices
- phynewb
- · Replies 3 ·
Proof: G/H1 is Isomorphic to H2/K for G with Normal Subgroups H1 and H2
- Poirot1
- · Replies 3 ·
Finding Eigenvalues for Different r Values
- Dustinsfl
- · Replies 3 ·
Graduate Is a Zero Row Necessary in the Square Root of a Zero Matrix?
- Bipolarity
- · Replies 5 ·
Undergrad Non-square matrices and inverses
- Bipolarity
- · Replies 8 ·
Graduate Novel Multiplication and Division by odd squares
- ramsey2879
- · Replies 2 ·
Matrix Multiplication: Is A Solution Possible?
- Yankel
- · Replies 2 ·
Undergrad Some questions about invertibility of matrix products
- Bipolarity
- · Replies 2 ·
Graduate Looking for a common solution of two systems
- onako
- · Replies 1 ·
Graduate Relationship between orbits and cosets
- potmobius
- · Replies 1 ·
Graduate Product and intersection of ideals of polynomial ring
- camilus
- · Replies 6 ·
Graduate Large-scale eigen solver package for Fortran?
- Ronankeating
- · Replies 1 ·
Graduate Question on inner products between functions
- mnb96
- · Replies 7 ·
Graduate Can a Group Be the Union of Two Proper Subgroups?
- spotsymaj
- · Replies 1 ·
Graduate What is the meaning of A^(⊥) in a mathematical context?
- mikeph
- · Replies 4 ·
LU Factorization: Introduction with Real Impact Example
- matqkks
- · Replies 2 ·
Graduate Coninvolution: A Powerful Property of Nonsingular Matrices
- BrainHurts
- · Replies 4 ·
Graduate Series form of the Laplace transform
- dydxforsn
- · Replies 2 ·
Is the Action of Conjugation by Sylow 2-Subgroups Onto?
- Poirot1
- · Replies 2 ·
Undergrad Why is LU factorization useful for solving linear systems?
- matqkks
- · Replies 2 ·
Graduate Proving the dot product between these vectors is always the same value
- autodidude
- · Replies 12 ·
Graduate Question on isomorphism between addition and multiplication
- mnb96
- · Replies 14 ·
Undergrad Axis angle rotations and changing rotation values
- dumb_squared
- · Replies 3 ·
Graduate What is the dimension of eigenspaces in a function-based linear transformation?
- Tala.S
- · Replies 2 ·
Undergrad Infinite and finite countable sets
- hatsu27
- · Replies 1 ·
Graduate Algebra - Finding the Order of an Element from the Size if It's Conjugacy Class
- Szichedelic
- · Replies 1 ·
Graduate How the inner product changes under non-linear transformation
- mnb96
- · Replies 2 ·
Graduate Set of vectors with each subset forming a basis
- Constantinos
- · Replies 2 ·
Graduate Number of lattice points between y=ax+b and y=x^2?
- SeventhSigma
- · Replies 3 ·
Undergrad Linear programming: How to find extreme points and extreme directions?
- Arian.D
- · Replies 2 ·
Undergrad Multiplying Complex Numbers: Understanding the Two Methods
- Square1
- · Replies 4 ·
Graduate Isomorphism types of abelian groups
- cummings12332
- · Replies 2 ·
Graduate Reference or explanation of zeta mellin transform in critical strip
- schtruklyn
- · Replies 1 ·
High School About the properties of infinity
- shivakumar06
- · Replies 9 ·
Do generated subgroups <x> and <y> intersect only at the identity if y ∉ <x>?
- Poirot1
- · Replies 5 ·
Undergrad What is the length of the vector (1,i) and why can it still be normalized?
- DocZaius
- · Replies 3 ·
Undergrad How Do You Correctly Multiply Complex Numbers to Verify Roots?
- Square1
- · Replies 5 ·