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 F4 algorithm for calculating Groebner bases
- choschech
- · Replies 6 ·
Graduate What is the Probability of Factoring Random Monic Polynomials?
- lttlbbygurl
- · Replies 1 ·
Graduate Transformation matrix on tensors
- kernelinho
- · Replies 2 ·
Graduate Describing the Sylow 2-subgroups of S5
- CoCoA
- · Replies 1 ·
Graduate Proof of A^(de) = a mod n for All Integers a
- lttlbbygurl
- · Replies 1 ·
High School Is the Sum of Digits Always Nine?
- e(ho0n3
- · Replies 8 ·
Graduate A non-trivial infinity of zeroes with real part one-half
- Loren Booda
- · Replies 15 ·
Undergrad A matrix is diagonalizable when algebraic and geometric multiplicities are equal
- jack_bauer
- · Replies 2 ·
Undergrad How Can I Solve This Unique Weight Balancing Problem Using Balanced Ternary?
- ged25
- · Replies 2 ·
Graduate Conjugate Homogeneity for Self-Adjoint Operators: Proof and Explanation
- evilpostingmong
- · Replies 3 ·
Graduate Is the sequence finite for different values of u in the logarithmic series?
- zetafunction
- · Replies 2 ·
Graduate Understanding and Expanding the 2nd Chebyshev Function: Calculation Help
- camilus
- · Replies 1 ·
Graduate Is Legendre's Conjecture on Primes Between n² and (n+1)² Fully Resolved?
- CRGreathouse
- · Replies 3 ·
Undergrad A matrix is diagonalizable when algebraic and geometric multiplicities are equal
- jack_bauer
- · Replies 2 ·
Undergrad Is a Matrix Symmetric if Row Space Equals Column Space?
- chaotixmonjuish
- · Replies 3 ·
Graduate Unimodular Matrices: Geometric Interpretation
- Dragonfall
- · Replies 4 ·
High School How Can x*0=0 Be Proven Without Using m(-1)=-m?
- Ed Quanta
- · Replies 3 ·
Graduate Question about Gram-Schmidt orthogonalization
- pamparana
- · Replies 2 ·
Graduate Basis for the set of all cts fns?
- tgt
- · Replies 15 ·
Undergrad Understanding Pressure Equations in Linear and Abstract Algebra
- Auto Engineer
- · Replies 4 ·
Graduate Constructing an irreducible polynomial in Z_{p^(m+1)}
- A-ManESL
- · Replies 1 ·
High School Revisiting Algebra Basics: 4ax + 2ay = 2a(2x + y)
- Auto Engineer
- · Replies 2 ·
Undergrad Operation exists that is valid for a group limited to the natural
- Gear300
- · Replies 2 ·
Graduate Index Conventions in Linear Algebra & Apps: David Griffel
- Rasalhague
- · Replies 2 ·
Graduate Adjoint transformation (inverse)
- mnb96
- · Replies 4 ·
Graduate What are the two definitions of gamma function and how are they related?
- LHS1
- · Replies 2 ·
Graduate Are Eigenvalues of a Non-Hermitian Matrix Real?
- andrewm
- · Replies 2 ·
Graduate Can the Gamma Function Summation Be Simplified for 0<Re(s)<1?
- rman144
- · Replies 1 ·
Undergrad Proving Subspace of a Matrix in R2
- jj48
- · Replies 8 ·
Graduate Proof Question: Invariance of U and U⊥ under T and T∗ for V subspace"
- evilpostingmong
- · Replies 3 ·
Undergrad What is the significance of zero in mathematics and philosophy?
- Maxwellkid
- · Replies 13 ·
High School Are half of all natural numbers even?
- textbooks
- · Replies 9 ·
High School Point or Vector? What's the difference?
- Swapnil
- · Replies 35 ·
High School Fastest way you have found to multiply two numbers in your head?
- 3trQN
- · Replies 7 ·
Graduate Vandermonde Matrix, Polynomial Interpolation & Orthogonal Basis
- azay
- · Replies 1 ·
Graduate Another question about projections.
- evilpostingmong
- · Replies 4 ·
Undergrad How could I change an equation to look the same as it did with inverted axes?
- zeebo17
- · Replies 1 ·
Graduate X,Y and Z operators of some algebra
- zetafunction
- · Replies 1 ·
Undergrad Is the Solution Set of Ax=b a Subspace of R^n?
- aan
- · Replies 1 ·
Graduate Can Recursive Flip-Trees Be Defined More Elegantly?
- dobry_den
- · Replies 3 ·
Graduate What Are the Properties of an Endomorphism f That Satisfies x*f(x)=k?
- mnb96
- · Replies 21 ·
Graduate Subgroup wth morphism into itself
- mnb96
- · Replies 2 ·
Undergrad Matrix, in which there is a column of 0's or a row of 0's
- Gear300
- · Replies 3 ·
Graduate Sequel for my proof for Riemann's hypothesis
- imag94
- · Replies 4 ·
Graduate Accurate Proof and varification for Riemann Hypothesis
- imag94
- · Replies 1 ·
Graduate Einstein Notation: Xj to Xi Transformation Equations
- Gear300
- · Replies 2 ·
Graduate Convolution Inverse: Family of Functions Explained
- mnb96
- · Replies 7 ·
Graduate Why Does This Polylogarithm Identity Have No Restrictions?
- rman144
- · Replies 1 ·
Graduate Question about orthogonal projections.
- evilpostingmong
- · Replies 4 ·
Graduate Incomplete gamma function question
- rman144
- · Replies 2 ·
Graduate Ax + b Least Squares Minimization Standard Form
- cook11
- · Replies 2 ·
Graduate (sub)semigroup with an endomorphism
- mnb96
- · Replies 1 ·
Undergrad Linear Dependence/Independence
- Gear300
- · Replies 3 ·
Graduate What is the formula for this curve?
- ramsey2879
- · Replies 7 ·
Graduate Eigenvalues and Eigenvectors uniquely define a matrix
- zeebo17
- · Replies 3 ·
Graduate Semigroup partitions and Identity element
- mnb96
- · Replies 3 ·
Graduate Equal Coefficients Polynomials
- Enjoicube
- · Replies 6 ·
Graduate Common roots of multivariate polynomials
- psyloe
- · Replies 1 ·
Graduate What are the practical applications and uses of Lie Algebras?
- mnb96
- · Replies 2 ·
Graduate Russian Dolls Matryoshka Approach to Riemann Hypothesis
- HermitianMonk
- · Replies 3 ·
Undergrad Are you able to solve this Simple Matrix Challenge?
- blurking132
- · Replies 6 ·
Graduate Very clever and difficult number theory puzzle (with generalization)
- mathwizarddud
- · Replies 9 ·
Graduate About the linear dependence of linear operators
- sanctifier
- · Replies 2 ·
Graduate 3 questions about matrix lie groups
- Bobhawke
- · Replies 2 ·
High School Factorizing 2ab - 4ac + bd - 2de | Help Appreciated
- Dave06
- · Replies 3 ·
Graduate Are Eigenfunctions of a Hamiltonian on a lattice always Bloch functions?
- 0xDEADBEEF
- · Replies 1 ·
Graduate Zeta function and summation convergence
- rman144
- · Replies 4 ·
Undergrad Is there a way to show that sqrt(2)+sqrt(3)+sqrt(5) is algebraic over Q?
- ~Death~
- · Replies 4 ·
Graduate What is the Definition of a Trace and Can it Prove the Riemann Hypothesis?
- zetafunction
- · Replies 1 ·
High School Proof that (-a)(-b)=ab: Is It Logical?
- nickto21
- · Replies 4 ·
Graduate Condition on minors to be Positive Semidefinite (PSD)
- NaturePaper
- · Replies 1 ·
High School Is a*b equal to LCM(a,b)*HCF(a,b)? Help me understand the proof.
- Anonymus1984
- · Replies 6 ·
Undergrad Is it possable for Cramer's rule to fail?
- Faken
- · Replies 8 ·
Undergrad Checking commutativity property with addition table
- dalarev
- · Replies 4 ·
Graduate About the invariance of similar linear operators and their minimal polynomial
- sanctifier
- · Replies 4 ·
Graduate What is the name for f(ab)=f(b)f(a)?
- mnb96
- · Replies 1 ·
Undergrad M^5v given that M = [3 2 4 2 0 2 4 2 3]
- squenshl
- · Replies 3 ·
Graduate Spectral interpretation of Primes
- zetafunction
- · Replies 1 ·
Undergrad Understanding Inner Products in Linear Algebra
- evilpostingmong
- · Replies 14 ·
Undergrad Online Textbooks on Linear Algebra and Calculus
- qntty
- · Replies 1 ·
Undergrad Is set of points (p,q) countable?
- seyma
- · Replies 2 ·
Graduate Proving R is a Field: Finitely Generated R-Modules
- sanctifier
- · Replies 4 ·
Graduate Can Induction Prove the Laws of Exponents for a Group?
- samkolb
- · Replies 1 ·
Graduate Longest repeated sequence in the prime counting function
- Loren Booda
- · Replies 3 ·
Graduate The (i,j) component of a Kronecker product?
- Civilized
- · Replies 2 ·
Undergrad Inverse of Upper Triangular Matrix
- Physics_wiz
- · Replies 5 ·
High School Methods for solving simultaneous equations
- TheAkuma
- · Replies 10 ·
Graduate Can You Reformulate a Riccati Equation for Standard Solver Compatibility?
- widemanzhao
- · Replies 2 ·
Graduate The Riemann Hypothesis for High School Students
- Luca
- · Replies 6 ·
Graduate Understanding the Minimal Polynomial: Clarifying Confusion on p(T)(v)
- kidsmoker
- · Replies 3 ·
Undergrad Eigenvalues and Eigenvectors of 3x3 matricies
- 9_lulu_0
- · Replies 6 ·
Undergrad Is Non-Singular the Same as Isomorphic in Linear Algebra?
- WiFO215
- · Replies 15 ·
Graduate Riemann proof effect on factoring composites
- Loren Booda
- · Replies 8 ·
Undergrad Geometric intepretation of matrices
- JG89
- · Replies 9 ·
Graduate Plane lattice proof of Leibniz series
- qedetc
- · Replies 1 ·
Undergrad What could be the possible algorithm for generating these lines of numbers?
- ech0
- · Replies 1 ·
Graduate Proof for non constant polynomial function
- khotsofalang
- · Replies 1 ·
Undergrad Describe all n such that 3 devides n2^n+1
- rbetan
- · Replies 1 ·
Graduate Functions and infinite dimensional vectors
- lolgarithms
- · Replies 13 ·
Graduate Prove 5 is not a member of the sequence
- guildmage
- · Replies 5 ·