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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High School Can both of this vector combine become the following matrix?
- RyozKidz
- · Replies 5 ·
Undergrad Integer Representation Through Multiplication of Integers
- Jim Phillips
- · Replies 10 ·
Graduate What Does It Mean When Col A Is a Subspace of the Null Space of A?
- quantumlight
- · Replies 1 ·
Undergrad Solving a Systems of Linear Equations and Matrices Problem
- bbrudi
- · Replies 6 ·
Graduate How to Determine Galois Groups and Subfields?
- minibear
- · Replies 1 ·
Graduate Orthochronal subgroup of the Lorentz group
- martin_blckrs
- · Replies 14 ·
Undergrad Transforming a 3D vector using matrix
- Gajan
- · Replies 4 ·
Graduate Finding Splitting Field of x^4-2: Q[x] vs F_5
- hypermonkey2
- · Replies 3 ·
Undergrad Transformation matrix, vector algebra word problem
- mathclass
- · Replies 4 ·
Graduate Grander than the Riemann Hypothesis
- tgt
- · Replies 9 ·
Graduate On the invertibility of symmetric Toeplitz matrices
- dwcook
- · Replies 2 ·
Graduate Answer: Lie Algebras: Adjoint Representations of Same Dimension as Basis
- yorik
- · Replies 2 ·
Graduate Quandles are associated with knot theory
- stanford1463
- · Replies 8 ·
Undergrad How can you determine if a set of given vectors can span a subspace in R^n?
- mckallin
- · Replies 4 ·
Graduate Clock Design for Zeta Zeros Mechanic Calculator
- Mustafa Umut
- · Replies 1 ·
Undergrad What Does a 2x2 Matrix Represent in Vector Spaces?
- RyozKidz
- · Replies 3 ·
Graduate Can [F: F ∩ E] Differ from 2 in Quadratic Field Extensions?
- minibear
- · Replies 3 ·
Graduate Points on an unit circle over finite field
- rsg
- · Replies 2 ·
Undergrad Symmetric Matrices to Jordan Blocks
- LogicalTime
- · Replies 3 ·
Graduate Matrix pseudo-inverse to do inverse discrete fourier transform
- thefly
- · Replies 3 ·
Graduate Example of Kronecker Delta Identity in 3D Matrix R
- intervoxel
- · Replies 2 ·
Undergrad Proving ab|c: The Proof for (a,b)=1
- chaotixmonjuish
- · Replies 4 ·
Undergrad Why Do the Determinants of a Matrix and Its Transpose Equal?
- Hyperreality
- · Replies 12 ·
Graduate Is Every Ideal in a Ring the Kernel of a Homomorphism?
- joecoz88
- · Replies 2 ·
Graduate Do Linear Space Properties Ever Fail in the Real and Complex Planes?
- Numeralysis
- · Replies 7 ·
Undergrad Eigenvalues - real and imaginary
- jpildave
- · Replies 1 ·
Graduate Constructing Isomorphisms for D4 and A4
- PhysicsHelp12
- · Replies 1 ·
Graduate Number of groups of a given order?
- tgt
- · Replies 3 ·
Graduate Lie bracket notation with subscript plus or minus
- Savant13
- · Replies 2 ·
Undergrad How can a determinant of a matrix become an area?
- RyozKidz
- · Replies 1 ·
Undergrad Converting rational number to a new base.
- battery2004
- · Replies 6 ·
Undergrad Determinant of a non square matrix
- praharmitra
- · Replies 2 ·
Undergrad Understanding Exterior Algebra: Determinant from Wedge Product
- Matthollyw00d
- · Replies 3 ·
Graduate Dashed arrow and solid arrow in category theory
- navigator
- · Replies 7 ·
Undergrad Localization of Z: Understand What It Is
- joecoz88
- · Replies 5 ·
Graduate Need to find eigenvector that corresponds to max eigenvalue
- jpildave
- · Replies 2 ·
Undergrad Trace of a matrix equals sum of its determinants?
- samspotting
- · Replies 2 ·
Graduate Can a Basis for a Subspace Always Include Specific Elements of a Larger Basis?
- ehsan_thr
- · Replies 5 ·
Undergrad Dot product between Spherical and Rectangular.
- Oscargot
- · Replies 1 ·
Graduate Homomorphism from Z into a nonabelian group
- quasar987
- · Replies 3 ·
Graduate Examples of degenerate and nondegenerate bilinear forms
- Gott_ist_tot
- · Replies 1 ·
Undergrad Why does parameterizing a 3D vector line give a plane equation?
- soandos
- · Replies 14 ·
Graduate Laplace transform as a dual space
- Heirot
- · Replies 1 ·
Undergrad Solving Complex Equations with x, y, z
- dE_logics
- · Replies 6 ·
Graduate Vector subspace as the space of solutions to matrix multiplication
- uman
- · Replies 2 ·
Graduate What is the transitivity of the complex orthogonal group on generalized spheres?
- StatusX
- · Replies 7 ·
Graduate Matrix S^n: Generalizing Matrix Operations
- Nusc
- · Replies 1 ·
Undergrad What the equivalence class suppose to be
- d_b
- · Replies 11 ·
Graduate Why Do O(V) and SO(V) Have the Same Lie Algebra?
- alle.fabbri
- · Replies 7 ·
Undergrad Proving (AB)ᵀ = Bᵀ Aᵀ for matrix multiplication
- torquerotates
- · Replies 9 ·
Graduate Is there a version of Jordan-Hölder theorem for infinite composition series?
- cup
- · Replies 2 ·
Graduate Is the Hubbard concrete to abstract function a standard linear map?
- CMoore
- · Replies 4 ·
Undergrad Difficult Question on Permutations
- PhysicsHelp12
- · Replies 3 ·
Graduate Viewing Polynomials from k[x,y] as Elements of k[y][x]
- NoDoubts
- · Replies 4 ·
High School I'm already clueless about simple algebra word problems. Dreams = *POOF*
- Raizy
- · Replies 11 ·
Graduate Is Rank(TS) Always Less Than or Equal to Rank(T)?
- garyljc
- · Replies 3 ·
Graduate Linear independence and orthogonaliy
- Werg22
- · Replies 2 ·
Graduate Solve Rotation Matrices w/ X, Y, Z Axes
- Zal
- · Replies 6 ·
Graduate Adjoint representation/lie algebra question
- Haelfix
- · Replies 21 ·
Graduate Fermats little theorem on permutations
- lilcoley23@ho
- · Replies 1 ·
Undergrad Rot Matrix for nxn: Group of Rotations
- Nusc
- · Replies 1 ·
Undergrad Dimension of U,V and W over K: Do they Equal?
- garyljc
- · Replies 1 ·
Graduate Trace and Determinant Relationship: Proving the Relation with O(x^2)
- alle.fabbri
- · Replies 3 ·
Undergrad How to calculate the dimension of a matrix
- pgandalf
- · Replies 8 ·
Graduate Matrix Exponential Theorem: Proving Formally with Cayley-Hamilton
- matematikawan
- · Replies 3 ·
Graduate Is Q(∛3) a subfield?
- lilcoley23@ho
- · Replies 14 ·
High School What is an orbit? Simple explanation needed for a proof?
- hottytoddy
- · Replies 4 ·
Undergrad Factorization of Polynomials over a field
- lilcoley23@ho
- · Replies 2 ·
Undergrad Fast primality test for small numbers
- CRGreathouse
- · Replies 1 ·
Graduate Minimal Invariant Subspaces: The Role of Orthogonal Linear Transformations
- samkolb
- · Replies 5 ·
Undergrad Is 550 the Correct Remainder for the Sum of the Series in Modular Arithmetic?
- saadsarfraz
- · Replies 7 ·
Graduate What is the relationship between p-adic and l-adic numbers?
- navigator
- · Replies 7 ·
Undergrad What is the addition of subspaces in linear algebra?
- moonbounce7
- · Replies 3 ·
Undergrad Challeng in simplifying the Grammer
- abdullahmogha
- · Replies 1 ·
Graduate Why is a non-principal ideal torsion-free rank 1 but not free?
- hypermonkey2
- · Replies 1 ·
Undergrad Where Can I Find Resources for Learning Linear and Abstract Algebra?
- derek.basler
- · Replies 2 ·
Undergrad Are Relatively Prime Numbers Always Coprime?
- bhavinsinh
- · Replies 2 ·
Undergrad A Visual Representation of the Vector Scalar Product?
- avocadogirl
- · Replies 5 ·
High School How many fish were originally caught by Mr X in total?
- bhavinsinh
- · Replies 1 ·
High School What is the divisibility rule for 23?
- MathematicalPhysicist
- · Replies 20 ·
Undergrad Does commutativity hold for unitary matrices and vectors?
- m26k9
- · Replies 10 ·
Graduate How Are Lagrange Polynomials Computed and Proven?
- e.gedge
- · Replies 1 ·
Graduate Can two zeros of the Riemann zeta function off the critical strip share an imaginary part?
- TheOogy
- · Replies 31 ·
Undergrad Does commutativity imply associativity?
- azure kitsune
- · Replies 5 ·
Graduate Does inner product value depend on basis choice?
- samkolb
- · Replies 4 ·
Graduate How can I prove the Riesz representation theorem?
- Fredrik
- · Replies 12 ·
Undergrad Is Abstract Algebra a Necessary Foundation for Mathematical Maturity?
- Ulagatin
- · Replies 18 ·
Undergrad Elementary Row Operations - only need two?
- clg211
- · Replies 1 ·
Graduate Vector multiplication question
- Nabeshin
- · Replies 3 ·
Graduate Is there a simple way to determine if an element is a primitive root modulo n?
- sid_galt
- · Replies 4 ·
Undergrad Rows that get zeroed out during elimination
- samh
- · Replies 2 ·
High School Is 0.9999... equal to 1?
- Raza
- · Replies 4 ·
Graduate Correspondence between between tensor product and bilinear maps
- jojo12345
- · Replies 3 ·
Graduate Divisor Function t(n): Proving $2n*(n)^{1/2}$
- peteryellow
- · Replies 4 ·
Undergrad Linear Dependence Check: [-1, 1]
- AngeloG
- · Replies 5 ·
Graduate Show that Polynomials p0 to pn Form Basis of F[t] ≤ n
- e.gedge
- · Replies 3 ·
Undergrad Matrix of a Parabola? (It's my first day)
- SpeeDFX
- · Replies 5 ·
Undergrad Maximizing ROI across car components with AHP and saturation constraints
- jpildave
- · Replies 1 ·
Graduate One-parameter subgroups and exponentials
- Fredrik
- · Replies 4 ·
Graduate Why are natural isomorphisms significant?
- jojo12345
- · Replies 8 ·