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 essence of determinant?
- wdlang
- · Replies 1 ·
Graduate Efficient Solution for (A+pI)x=b: Fast Matrix Inversion
- blindconsole
- · Replies 2 ·
Graduate Finding Elements of Order 6 in Aut(Z720)
- mehtamonica
- · Replies 7 ·
Graduate How to Minimize the infinity norm of a matrix function
- rinna
- · Replies 10 ·
Undergrad Why is an orthogonal basis important?
- matqkks
- · Replies 5 ·
Graduate Determinant of a Complex Matrix
- EngWiPy
- · Replies 2 ·
Undergrad Solving equations with complex conjugates
- matsorz
- · Replies 5 ·
Undergrad Physical Intrepretation of cofactors
- matqkks
- · Replies 1 ·
Graduate How Does Graduate Math Differ from Undergraduate Algebra?
- Robert1986
- · Replies 1 ·
Undergrad Math tricks from various areas of mathematics
- agentredlum
- · Replies 282 ·
High School A logical (and simple) explanation for (-1*1=-1)?
- Ntstanch
- · Replies 10 ·
Undergrad How to define the new vector in my case?
- mellon
- · Replies 1 ·
Graduate Tensor product vs dyadic product for vectors
- wil3
- · Replies 6 ·
Undergrad Would does it mean to say that two matrices or functions are
- matqkks
- · Replies 7 ·
Graduate Properties of the super-golden ratio?
- dimension10
- · Replies 5 ·
Graduate What Is the Physical Significance of the Norm of a Function in a Vector Space?
- matqkks
- · Replies 4 ·
Undergrad Eigenvalues and eigenvectors of a matrix
- blob84
- · Replies 3 ·
Graduate Integral of reflection operators in symmetric spaces always gives c=1/2
- Funken
- · Replies 1 ·
Graduate Why Are 10-adics Not a Field?
- aalireza
- · Replies 3 ·
Undergrad Physics of Roulette: Spin, Friction, Wind, Momentum, Bounce
- Darrenmackenz
- · Replies 2 ·
Graduate Homomorphism Z[x] to Z[i] and ideals of Gaussian integers
- murmillo
- · Replies 6 ·
Undergrad What is positive and negative eigenspaces? Can you recommend me a
- seydunas
- · Replies 2 ·
Graduate Prove a=0 for Ring Theory Question with m,n Positive Ints
- mehtamonica
- · Replies 1 ·
Graduate Why E's representation marix is unit matrix
- xiaoxiaoyu
- · Replies 3 ·
Graduate Collatz Conjecture - Bouncing Ideas
- prdgi
- · Replies 2 ·
Graduate What is the solvability condition for the matrix equation A_1x_2 = A_2x_1?
- Hootenanny
- · Replies 8 ·
Graduate Powers of a superdiagonal matrix
- protaktyn
- · Replies 4 ·
Graduate Why does ⟨x,y⟩ = x₁x₂ + y₁y₂ fail the linearity test for inner products?
- JamesGoh
- · Replies 5 ·
Undergrad Where are the irrational numbers?
- smolloy
- · Replies 124 ·
Undergrad Goldbach's Conjecture (Theorem?)
- Skainstein
- · Replies 38 ·
Undergrad Is the column space of a matrix always a full span in practice?
- JamesGoh
- · Replies 3 ·
Graduate Director product expansion of Lie groups.
- rkrsnan
- · Replies 8 ·
Graduate Is Group Decomposition Unique in Semidirect Products?
- daveyp225
- · Replies 5 ·
Undergrad Matrix Dot Product: Solving Linear Algebra
- nigels
- · Replies 6 ·
Graduate How Does the Cyclic Decomposition Theorem Simplify Matrix Analysis?
- Kindayr
- · Replies 3 ·
Undergrad When to use projection formula versus projection matrix?
- JamesGoh
- · Replies 2 ·
Undergrad Classic problems about parity property
- nulll
- · Replies 2 ·
Graduate Determinant Identity for A-B and B A Matrices
- quasar987
- · Replies 4 ·
Undergrad Can a Singular Matrix Always Find a Partner Matrix to Result in Zero?
- ohyeahstar
- · Replies 2 ·
Graduate Why does yxy^{-1} = x^k imply y^3xy^{-3} = x^{k^3}?
- Samuelb88
- · Replies 2 ·
Graduate What puts the analysis in analytic number theory?
- Poopsilon
- · Replies 2 ·
Undergrad Fourier integral notation without differential element
- rar0308
- · Replies 5 ·
Graduate At what point do the sums of the reciprocals converge?
- thegreatjared
- · Replies 3 ·
Undergrad Debating the Validity of the Inscribed Hexagon Theorem
- crocque
- · Replies 5 ·
Graduate What Is the Multilinear Eigenvalue Problem Called?
- Manchot
- · Replies 1 ·
Graduate Are sums of infinitely many group homomorphisms defined?
- Sumanta
- · Replies 4 ·
Graduate Finding all solutions to x1² + x2² = 1 in finite fields Zp
- khotsofalang
- · Replies 4 ·
Graduate Is it safe to post real theorems here?
- crocque
- · Replies 57 ·
Graduate What is the Relationship Between Vectors and Newton's Second Law?
- Alain De Vos
- · Replies 10 ·
Graduate How do primes come out of Peano arithmetic?
- Kindayr
- · Replies 4 ·
Graduate Tensor transformations for change of coordinate system
- aeson25
- · Replies 4 ·
Graduate Is There a Limit to the Number of Elements in a Coproduct/Direct Sum?
- Sumanta
- · Replies 1 ·
Undergrad Why the roots of Eq. x^2 + a*x + b = 0 and of Eq. x + a*Sqrt[x] + b =
- Lucasss84
- · Replies 2 ·
Graduate Group Isomorphism: Proving f: Us(st)->U(t) is Onto
- mehtamonica
- · Replies 5 ·
Undergrad Minimum Absolute Value of a nxn Matrix Determinant
- skymariner
- · Replies 4 ·
High School Solve Tricky Sequence: 1,2,3,4,5,8,7,16,9
- Angthomas
- · Replies 1 ·
Graduate Proving a set of derivatives to be a subset of real functions
- jimmybonkers
- · Replies 4 ·
Undergrad Shortcut method for order 4 and above.
- median27
- · Replies 4 ·
Undergrad An efficient way to find perfect squares?
- foo_daemon
- · Replies 15 ·
Undergrad Proving a set to be a vector space,
- u5022494
- · Replies 5 ·
Undergrad Determining the Number of Invertible Elements in Zn
- arthurhenry
- · Replies 13 ·
Graduate Is Every Complex Matrix Similar to Its Transpose?
- arthurhenry
- · Replies 2 ·
Undergrad Galois Theory Intro Cut Short - Seeking Resources
- Kindayr
- · Replies 2 ·
Undergrad True or false eigenvalue problem
- achuthan1988
- · Replies 2 ·
Graduate Bilinear Forms associated With a Quadratic Form over Z/2
- Bacle
- · Replies 3 ·
Graduate Solution to System with Unknown Variables n > 4
- uwowizard
- · Replies 4 ·
Graduate How can I find a basis for the span of some eigenvectors?
- ZachKaiser
- · Replies 2 ·
Undergrad Condition number of a matrix is 1 but determinant is almost 0
- hermano
- · Replies 2 ·
Graduate Counting continued fraction numbers
- KevB
- · Replies 3 ·
Graduate Grothendieck decompostion simple example
- Jim Kata
- · Replies 1 ·
Graduate External direct product- homomorphism
- mehtamonica
- · Replies 7 ·
Graduate Additive Prime Numbers: Is There Anything Known About them?
- Mooky
- · Replies 2 ·
Undergrad Can't get my head into vector spaces and subspaces
- thecaptain90
- · Replies 6 ·
Graduate Nonzero R-Module over commuttaive ring, all submodules free => R PID?
- daveyp225
- · Replies 6 ·
Graduate Why Is Proving the Infinity of Fibonacci Primes So Challenging?
- fibonacci235
- · Replies 6 ·
Undergrad Proof of the Possibility of Division
- kripkrip420
- · Replies 8 ·
Graduate Reconciling two definitions of R-algebras
- Kreizhn
- · Replies 7 ·
Graduate Wiles Proof of Fermat's Last Theorem
- fibonacci235
- · Replies 1 ·
Graduate How large is Graham's number and why?
- jobsism
- · Replies 5 ·
Graduate Ellipsoid algebra: converting forms
- d_forage
- · Replies 1 ·
Undergrad Spherical Vector Addition Process
- n00bcake22
- · Replies 3 ·
Graduate Can Least Squares be Applied to Matrices for Solving a Complex Equation?
- Klandhee
- · Replies 8 ·
Undergrad Notation in linear algebra and rule for square of matrix norm
- lishrimp
- · Replies 2 ·
Undergrad Prerequisites for number theory and abstract algebra
- BloodyFrozen
- · Replies 13 ·
Graduate Finite-Index Subgroups of Infinite Groups.
- Bacle
- · Replies 8 ·
Graduate Confused about the concepts of dual spaces, dual bases, reflexivity and annihilators
- Philmac
- · Replies 32 ·
Graduate Question on maximal ideals in an integral domain
- daveyp225
- · Replies 2 ·
Undergrad Why cant i learn linear algebra?
- achuthan1988
- · Replies 11 ·
High School Why do vector multiplications result in different types of quantities?
- quantizedzeus
- · Replies 7 ·
Graduate Difficult linear algebra problem
- Klandhee
- · Replies 1 ·
Graduate Composition of permutation cycles
- NanakiXIII
- · Replies 1 ·
Graduate |a+b| = |a| + |b| implies a and b parallel?
- julypraise
- · Replies 3 ·
Undergrad How can a column vector be transformed into a diagonal matrix?
- MehranMo
- · Replies 3 ·
Graduate Finding rotation matrix with given new and old frame
- faribataghavi
- · Replies 3 ·
Graduate Is g_αβA_β the same as A_βg_αβ?
- grzz
- · Replies 10 ·
Undergrad Does Taylor series convergence depend on the expansion point?
- vrc
- · Replies 2 ·
Graduate Dirichlet's Theorem on Arithmetic Progressions
- burritoloco
- · Replies 2 ·
Graduate Why is the number of fixed points divisible by p in Cauchy's Theorem proof?
- Bleys
- · Replies 4 ·
Graduate If x and y are parallel, then ha = b?
- julypraise
- · Replies 1 ·
Undergrad Matrix Multiplication and Rank of Matrix
- rajtendulkar
- · Replies 2 ·