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 Can I use back substitution to invert a matrix?
- NewStudent200
- · Replies 3 ·
Graduate Residue Problem: Seeking Alternative Solutions
- Fisicks
- · Replies 2 ·
Graduate How Can College Students Master the Math Behind Kalman Filters?
- uglyoldbob
- · Replies 3 ·
Graduate Number of Solutions to d(p) vs F(n) Modulo Prime?
- flouran
- · Replies 14 ·
Undergrad Why mod 11 fails for finding the last digit of 2222^50 + 7777^16
- johnnyICON
- · Replies 11 ·
Undergrad Linear Combinations: Finding Vectors of (x,y)
- hahatyshka
- · Replies 1 ·
Graduate A couple of Infinite Series questions
- Ubinunc
- · Replies 16 ·
Undergrad Using Cramer's rule with triangular systems and zero determinants
- GimB0id
- · Replies 4 ·
High School What is a Parallel Unit Vector and How is it Calculated?
- I_am_no1
- · Replies 8 ·
Graduate Landau Notation: Writing Functions in Terms of Other Functions
- flouran
- · Replies 3 ·
Graduate Twin Prime Sieve - A Unique and Efficient Method for Generating Twin Primes
- Rudy Toody
- · Replies 5 ·
Graduate How is Isomorphism Related to Cayley's Theorem?
- alexandrabel
- · Replies 1 ·
Graduate Nice little proof, can any one do it?
- rusticle
- · Replies 5 ·
Graduate Find a permutation of order 15 in S8.
- Charles007
- · Replies 5 ·
Undergrad Linear transformation between bases
- gothlev
- · Replies 4 ·
Graduate How to find just one permutation in s8
- Charles007
- · Replies 1 ·
Undergrad Construction of lines from points
- exmachina
- · Replies 41 ·
Graduate Group Action and a Cartesian Product
- chaotixmonjuish
- · Replies 4 ·
High School Finding the adjugate of a 2×2 matrix
- Charles007
- · Replies 4 ·
Undergrad Consisity of non-homogenous systems of linear equations
- Este
- · Replies 5 ·
Graduate What to make out of series like 1+2+3+ = -1/12 ?
- guhan
- · Replies 16 ·
Graduate Must every linear operator have eigenvalues? If so, why?
- ygolo
- · Replies 16 ·
Graduate Geometric intuition for eigenvalues and eigenvectors of symmetric matrices
- bPawn
- · Replies 1 ·
Graduate Equation with Bessel functions written by 8-year-old
- confusedmon
- · Replies 8 ·
High School Prove Square of Integer Ends in 0, 1, 4, 5, 6, 9
- Martin Bashir
- · Replies 2 ·
Undergrad How Can I Understand 3D Rotation Matrices Like 2D?
- likephysics
- · Replies 1 ·
Graduate Proof of inner product for function space
- SFB
- · Replies 3 ·
Undergrad How Can I Differentiate Various Group Types in Algebra?
- Charles007
- · Replies 6 ·
Graduate Solution Guide for Hoffman and Kunze Problems: Does it Exist?
- CoachZ
- · Replies 3 ·
Graduate Conjugate of a matrix and of a function
- DeepSeeded
- · Replies 5 ·
Graduate Norm of a Function vs. Length of a Vector
- pr0me7heu2
- · Replies 3 ·
Graduate Relationship between Hermitian inner product and angle between complex vectors
- raja0088
- · Replies 1 ·
Graduate Lorentz Force Equation: Geometric Interpretation
- Somefantastik
- · Replies 2 ·
Undergrad Does Order Matter in Cyclic Subgroups/Groups?
- Gear300
- · Replies 4 ·
Graduate Can I put symmetric doubling functions for algebraic numbers in a matrix?
- noogies
- · Replies 2 ·
Graduate How can we use induction to prove that (xy)^{3} = y^{3}x^{3} for all x,y in G?
- matticus
- · Replies 2 ·
Undergrad Prove that 12 divides n^2-1 when gcd(n,6)=1
- Fisicks
- · Replies 4 ·
Graduate Getting comfortable with homological algebra
- Tiger99
- · Replies 2 ·
Graduate Eigenvalue with multiplicity k resulting in k orthogonal eigenvectors?
- el_llavero
- · Replies 4 ·
Graduate Polar Decompositions: Purpose of sqrt(T*T)
- evilpostingmong
- · Replies 2 ·
Graduate Function norm and root mean square for sin(x) on [0,π]
- squenshl
- · Replies 2 ·
Undergrad Fundamental Theorem of Arithmetic Problem
- Fisicks
- · Replies 14 ·
Graduate Why does isomorphism preserve the group operation?
- jeff1evesque
- · Replies 8 ·
Undergrad Confusing about linearity and nonlinearity
- KFC
- · Replies 2 ·
Graduate Uniqueness Theorem for homogenous linear ODEs
- Crosson
- · Replies 5 ·
Graduate What does <a, b, c> mean for a set in group theory?
- Gear300
- · Replies 4 ·
Graduate Non-uniform bi-linear interpolation
- ponjavic
- · Replies 2 ·
Graduate I dont get the point of pseudovectors
- StatusX
- · Replies 7 ·
Undergrad LU Decomposition: Calculating Determinant of Square Matrix (Example Included)
- demipaul
- · Replies 1 ·
Graduate How to Diagonalize a 9x9 Matrix with Unitary Vectors?
- Ojisan
- · Replies 6 ·
Undergrad Null matrix and invertible matrix
- seema283k
- · Replies 1 ·
Undergrad Geometrical interpretation of dot product (trying to prove)
- Дьявол
- · Replies 17 ·
Graduate Verifying Noncyclic Abelian Subgroup of S4
- Gear300
- · Replies 6 ·
Undergrad Innner products and basis representation
- iontail
- · Replies 5 ·
Graduate Finding r in Paillier cryptosystem: c = g^m * r^N mod N^2
- vanvincent
- · Replies 5 ·
Graduate What Is the Correct Form of the Cauchy-Schwarz Inequality?
- EngWiPy
- · Replies 10 ·
Graduate Eigenvalues and eigenvectors of this matrix
- shouvikdatta8
- · Replies 1 ·
Graduate Why is Ax in col(A) if (A^T)Ax=0
- horefaen
- · Replies 2 ·
Graduate Reduce P = A(ATA)-1AT to P = BBT
- squenshl
- · Replies 1 ·
Graduate What is the meaning of the subscript in the polygamma function?
- rman144
- · Replies 1 ·
Graduate What Is a Lie Group Without an Identity Matrix Called?
- Pythagorean
- · Replies 3 ·
Graduate Describing matrix requirements for projection matrices P and B
- squenshl
- · Replies 2 ·
Undergrad How to find two endpoints of a line?
- rakeshthp
- · Replies 5 ·
Graduate Do hyperreal numbers satisfy the same inequalities recursively?
- Phrak
- · Replies 10 ·
Graduate Conjecture:fundamental mathematical group
- SW VandeCarr
- · Replies 71 ·
Graduate Transformation to flip handedness of a 4-vector
- Gza
- · Replies 2 ·
Undergrad Column Space and Pivot Columns in Reduced Matrices
- horefaen
- · Replies 1 ·
Undergrad Simple Proof Check - Number Theory
- Fisicks
- · Replies 4 ·
Graduate Does the identity axiom 1v = v follow from other vector space axioms?
- AxiomOfChoice
- · Replies 9 ·
Undergrad Is it possible to determine if a number is a perfect square in different bases?
- srijithju
- · Replies 5 ·
Graduate Why Are SU(3) Generators Traceless and Limited to Two Diagonal Matrices?
- jacobrhcp
- · Replies 6 ·
Undergrad How can I find an endorser for my prime number papers on ArXiv?
- Lecopantica
- · Replies 3 ·
Undergrad How can a column represent a vector in linear algebra?
- vijay_singh
- · Replies 4 ·
Graduate Proving the Finiteness of Fermat Primes
- chhitiz
- · Replies 27 ·
Graduate Is the only difference between functions just a change of basis?
- Monocles
- · Replies 1 ·
Undergrad Is There Always a Prime Number Between n and n! for n>2?
- theIBnerd
- · Replies 8 ·
Graduate Can We Obtain the Form of L from Z(u)?
- zetafunction
- · Replies 1 ·
Graduate I came across this Proposition in my book, and I know it's something
- lttlbbygurl
- · Replies 1 ·
High School How do i get the point of intersection of a line and a circle?
- rakeshthp
- · Replies 3 ·
High School Solving Linear Equations: Expanding Brackets, Subbing Values
- TheAkuma
- · Replies 8 ·
Graduate Irreducible Representations of so(4,C)
- aziz113
- · Replies 2 ·
Graduate Numerical algorithms for finding an eigenvector
- jostpuur
- · Replies 4 ·
Graduate Is 1|V⟩ = |V⟩ provable from Shankar's vector space axioms?
- AxiomOfChoice
- · Replies 1 ·
Undergrad Is a symmetric matrice allways nonsingular?
- hyper
- · Replies 1 ·
Graduate Can every real number be a sum of two squares?
- JanClaesen
- · Replies 14 ·
Undergrad Matrix determinant operator commutative?
- el_llavero
- · Replies 3 ·
Graduate Proving Self-Adjointness in Finite-Dimensional Vector Spaces with Inner Products
- evilpostingmong
- · Replies 8 ·
Graduate Why is Schwarz inequality trivial when u or v equals zero?
- Rasalhague
- · Replies 6 ·
Graduate Representing 2D vectors as Clifford multivectors and projecting back
- PeteKH
- · Replies 4 ·
Graduate Optimal division of a matrix for processing
- sam_wilson
- · Replies 4 ·
Undergrad Group (Associativity of Binary Operators)
- jeff1evesque
- · Replies 1 ·
Undergrad Why Is QQ^T Singular for a Matrix with Orthonormal Columns?
- hotvette
- · Replies 5 ·
Graduate Coprime pythagorean quadruples or higher tuples?
- JesseM
- · Replies 4 ·
Graduate Show every group of order 77 has elements of order 7 and 11
- matticus
- · Replies 8 ·
Undergrad What is the Quotient Group A/B?
- pellman
- · Replies 2 ·
Graduate Legendre and Riemann: A Conjecture Comparison
- daniel tisdal
- · Replies 6 ·
Graduate Relating to Duality in Vector Spaces
- mosenja
- · Replies 7 ·
Undergrad Number Theory integer roots Problem
- pzona
- · Replies 16 ·
Undergrad Does the mediant of two fractions always lie between them?
- Helios
- · Replies 1 ·
Graduate Rotation matrices for arbitrary angles around two specific axes
- owlpride
- · Replies 4 ·