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 Integer solution to exponential diophantine equation
- adoado
- · Replies 2 ·
Undergrad Why were eigenvalues and eigenvectors defined?
- Tosh5457
- · Replies 4 ·
Undergrad Application of Linear Algebra to Physics
- azupol
- · Replies 3 ·
Undergrad Solving Systems of Congruences when mods not pairwise relatively prime
- CantorSet
- · Replies 1 ·
Graduate Cumulative sum of Goldbach Partitions
- Paul Mackenzie
- · Replies 5 ·
Graduate Is there a pattern to the placement of maximal ideals in Z[X]?
- ForMyThunder
- · Replies 1 ·
Graduate Solving Rotational Matrix: 6 Parameters from 3 Angles
- mundo44
- · Replies 5 ·
Graduate GCD of a and b Prime and Odd: 1 or p?
- elimqiu
- · Replies 1 ·
Graduate DIHEDRAL GROUP - Internal Direct Product
- mehtamonica
- · Replies 6 ·
Graduate Regarding the definition of orders (as in subrings)
- Somewheresafe
- · Replies 6 ·
Graduate Lagrange multipliers with vectors and matrices
- IniquiTrance
- · Replies 1 ·
High School Vector Algebra Help: FAQs, Tutorials, Forums
- ohms law
- · Replies 1 ·
Graduate Can We Generate Gl(n,R) Using Shear Maps?
- Bacle
- · Replies 15 ·
Graduate Determining Rotation Axis from Matrix: Eigenvalue and Eigenvector Analysis
- JamesGoh
- · Replies 4 ·
Graduate The set of all continuous functions
- srfriggen
- · Replies 17 ·
Undergrad Can You Combine Basis Vectors from Different Coordinate Systems?
- Lancelot59
- · Replies 3 ·
Undergrad Most significant bit (MSB) in ASCII code
- Cylab
- · Replies 2 ·
Undergrad Matrix diagonalisation computations
- JamesGoh
- · Replies 1 ·
Graduate How Can I Solve a Modulo Equation with Large Values?
- mathnub31
- · Replies 3 ·
Graduate A particular subgroup of a Free Group is normal
- empyreandance
- · Replies 2 ·
Graduate Understanding proof about A(adj A) elements
- CoolFool
- · Replies 1 ·
Graduate Can Symmetries on the Riemann Sphere Deepen Our Understanding of Geometry?
- mnb96
- · Replies 2 ·
Undergrad Inductive Proof (+linear equation in four variables)
- sweetreason
- · Replies 1 ·
Graduate Is a Bounded Dual Linear Program Indicator of a Feasible Primal?
- flyingpig
- · Replies 4 ·
Graduate Test Primes: Find an Exception for P > 3? - Ken Ramsey
- ramsey2879
- · Replies 12 ·
Undergrad Several Dimensional Multiplication
- ScaryManInThePa
- · Replies 3 ·
Graduate Prove: a^x|b^y & xt-yz\geq 0 then a^z|b^t
- AdrianZ
- · Replies 1 ·
Undergrad Does one need to know elementary number theory to study Abstract Algebra?
- AdrianZ
- · Replies 3 ·
Undergrad Can This Matrix Represent a Linear Transformation?
- seansrk
- · Replies 3 ·
Graduate Is there an isomorphism from G to (G/M)x(G/N) with the kernel M\bigcapN?
- symbol0
- · Replies 2 ·
Graduate When Does the Exponential Function Reach Its Maximum Value?
- JeremyEbert
- · Replies 16 ·
Undergrad Determining if a vector b is a linear combination of vectors a1,a2,a3
- nglatz
- · Replies 2 ·
Graduate Exhibiting a homomorphism f: G-> Aut(G)
- AdrianZ
- · Replies 4 ·
Undergrad Why is the term 'norm' used instead of 'absolute value' in vector spaces?
- athrun200
- · Replies 2 ·
Graduate Is H a Subgroup of N if |H| and |G:N| are Relatively Prime?
- symbol0
- · Replies 4 ·
Undergrad Orthogonal Matrices: Importance & Benefits
- matqkks
- · Replies 1 ·
Undergrad The logic problem faced in linear algebra
- peter13
- · Replies 1 ·
Undergrad Eigen Values of Positive Definite Matrix
- vaibhavtewari
- · Replies 8 ·
Graduate How Does the Jordan Normal Form Arise from Cyclic Subspaces and Direct Sums?
- sponsoredwalk
- · Replies 3 ·
Undergrad Can a Matrix be Recovered from Eigenvalues Alone?
- Cylab
- · Replies 4 ·
Graduate Is Det(A+B) Equal to Det(A) + Det(B)?
- phyin
- · Replies 3 ·
Graduate Interesting way to define a sequence of Squares
- ramsey2879
- · Replies 10 ·
Graduate Free Group with defining equations
- iamalexalright
- · Replies 1 ·
Graduate How many functions satisfy this set of conditions?
- AdrianZ
- · Replies 2 ·
Undergrad Elementary Linear Algebra with Applications 9th or 10th edition?
- mitcho
- · Replies 3 ·
Graduate Why does the Kronecker delta interchange with itself when j equals l?
- quietrain
- · Replies 31 ·
High School How Many Permutations for Pressing 4 Out of 8 Switches?
- novolts
- · Replies 2 ·
Graduate Operating Time for Matrix Eigenvalue and Eigenvectors
- Cylab
- · Replies 7 ·
Graduate A permutation group must be a euclidean group?
- xiaoxiaoyu
- · Replies 4 ·
High School Square of Odd Integers & Justifying "If P2 Is Even, Then P Is Even
- winsome
- · Replies 3 ·
Undergrad Find vectors that produce certain orthogonal projection
- fmilano
- · Replies 1 ·
Undergrad I need a pretty basic explanation of cosets
- Asmoridin
- · Replies 9 ·
Undergrad Circle & Infinity: Why Is a Line?
- mathlove3.14159
- · Replies 10 ·
Graduate How Does Permuting Eigenvectors Affect Matrix Representations?
- Cylab
- · Replies 1 ·
Graduate Show that (A:B) = (A^f:B^f)(A_f:B_f) in Abelian Groups
- eastside00_99
- · Replies 8 ·
High School Understanding Vector Addition with the Parallelogram and Triangle Laws
- SS2006
- · Replies 6 ·
Undergrad Different rotation matrix, with cosine?
- vicjun
- · Replies 1 ·
Graduate Direct Eigenvalue solver, which retains the the order of eigenvectors
- alyflex
- · Replies 5 ·
Graduate Nessary and sufficient condition for homomorphism to be isomorphism.
- AAQIB IQBAL
- · Replies 1 ·
Undergrad Mathematica problem, nontrivial solution for matrix equation Ax=0
- Uncle_John
- · Replies 2 ·
Undergrad Help in understanding groups (undergraduate level).
- AAQIB IQBAL
- · Replies 5 ·
Graduate What Are Functional Powers and How Can We Explore f^n(x)?
- willsc8forwin
- · Replies 2 ·
Graduate Can Any 2-Plane Be Mapped to Another Using Linear Maps and Translation?
- WWGD
- · Replies 3 ·
Graduate What causes delta functions to appear in the derivative of the Pi function?
- 3.14159253589
- · Replies 10 ·
Graduate Is There Only One Integer n That Makes the Sum of Squares a Perfect Square?
- elimqiu
- · Replies 2 ·
Graduate Baby Step Giant Step: Computing m of Rational Points on Elliptic Curve
- yavanna
- · Replies 1 ·
Graduate Coefficients of characteristic polynomial
- jostpuur
- · Replies 2 ·
Graduate Diagonalization of square matrix if not all eigenvalues are distinct of
- Uncle_John
- · Replies 1 ·
Graduate How do i construct a design matrix for a least square problem?
- papasmurfff
- · Replies 1 ·
Undergrad Does the Order of Differentiation Matter?
- quietrain
- · Replies 4 ·
Undergrad Is there a matrix A such that AxB=B?
- yazid12111980
- · Replies 11 ·
Graduate Understanding the Distributive Law in a Field
- gwsinger
- · Replies 1 ·
Undergrad Two impossible crossproduct problems
- Nikitin
- · Replies 4 ·
Graduate Vector Spaces: Cartesian vs Tensor products
- Monte_Carlo
- · Replies 3 ·
Undergrad Does doubling the sum of prime factors always lead to 16?
- thegreatjared
- · Replies 15 ·
Undergrad Number of Primes Between n and 2n
- 1MileCrash
- · Replies 15 ·
Undergrad Is there any way to find the product of prime numbers?
- l-1j-cho
- · Replies 6 ·
Graduate Solving Matrix Equations with Real Scalars
- blueberryfive
- · Replies 4 ·
Graduate Eigenvalues <1 imply 0 as a limit
- slamminsammya
- · Replies 1 ·
Graduate How to Prove GCD of Two Powers of 2 Minus 1?
- CantorSet
- · Replies 12 ·
Graduate Determinants of higher dimension matrices
- JamesGoh
- · Replies 1 ·
Undergrad How can I compare the vector equation of a line to a vector in the form (x,y,z)
- RufusDawes
- · Replies 1 ·
Graduate Proof of a^{\frac{p-1}{2}}=-1 mod p
- yavanna
- · Replies 4 ·
Graduate Z[x]/(1-x)/(x^{p-1}+ +x+1) = Z/pZ ?
- rukawakaede
- · Replies 2 ·
Undergrad Matrix methods for equation of a line
- zcd
- · Replies 1 ·
Graduate Hello,I have a question. If A and B are NND matrices, how to prove
- xihashiwo
- · Replies 4 ·
Undergrad Can magnitude of complex numbers raised to some power
- StephanJ
- · Replies 2 ·
Graduate Orthogonality in h^n for a field h
- Josh Swanson
- · Replies 2 ·
Graduate Why can't Dn be isomorphic to the direct product of its subgroups?
- mehtamonica
- · Replies 2 ·
Graduate Understanding Zorn's Lemma and Its Implications in Vector Spaces
- Yuqing
- · Replies 1 ·
Graduate Commutative Monoid and some properties
- Kindayr
- · Replies 48 ·
Graduate How Can Vector Fields Span a Tangent Space When k > m?
- WannabeNewton
- · Replies 2 ·
Graduate Proving Finite Groups with No Non-Trivial Subgroups and Prime Order o(G)
- QuArK21343
- · Replies 5 ·
Graduate Singular Value Decomposition trouble
- TomMe
- · Replies 18 ·
Graduate Proof of the The Division Algorithm
- blueberryfive
- · Replies 3 ·
Undergrad Proving T is a Subspace of M23: Linear Algebra Problem
- Warpenguin
- · Replies 14 ·
Graduate What Is the Well-Ordering Principle in Modern Algebra?
- blueberryfive
- · Replies 5 ·
Graduate Classifying Symmetric Quadratic Forms
- Bacle
- · Replies 1 ·
Graduate What is the essence of determinant?
- wdlang
- · Replies 1 ·
Graduate Efficient Solution for (A+pI)x=b: Fast Matrix Inversion
- blindconsole
- · Replies 2 ·