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 Is Every Square Integer of the Form 4n or 4n+1?
- DEMJR
- · Replies 8 ·
Undergrad Calculating Tilt Angle for Mounted iPad Using Accelerometer Readings
- prrao56
- · Replies 1 ·
Undergrad What is the purpose of <-i> in a complex number subgroup?
- foreverdream
- · Replies 11 ·
Undergrad Show that linear transformation is surjective but not injective
- pearl0993
- · Replies 3 ·
Graduate The General Linear Group as a basis for all nxn matrices
- fishshoe
- · Replies 1 ·
Graduate Questions about the prime counting function
- riemannian
- · Replies 1 ·
Graduate Contrapositive proof of irrational relations
- FelixHelix
- · Replies 5 ·
Undergrad Understand Summation Notation & Clear Confusion
- Lucid Dreamer
- · Replies 2 ·
Graduate How would one prove the dihedral group D_n is a group?
- ry22
- · Replies 2 ·
Graduate Is It Reasonable to Assume a Prime Gap of at Least 10 Before Twin Primes?
- Nelphine
- · Replies 6 ·
Undergrad Are these two vectors coprime?
- phynewb
- · Replies 1 ·
Undergrad Question about Newton's method for solving a function
- edwardnash
- · Replies 2 ·
Graduate Covariance matrix in barycentric coordinates
- MarkoDe
- · Replies 15 ·
Undergrad Figuring Out Spanning w/ Vectors of 3 Components
- DmytriE
- · Replies 6 ·
Graduate Efficient Prime Number Algorithm: Seeking Feedback and Offering Unique Insights
- MechaMiles
- · Replies 3 ·
Graduate Can Fermat's Equation Be Solved with Non-Positive Integers?
- avery
- · Replies 2 ·
Graduate Bicyclic Monoid: Not Concatenation?
- alexfloo
- · Replies 2 ·
Undergrad Do Intervals [2,3] and [2,5] in Real Numbers Share the Same Cardinality?
- FelixHelix
- · Replies 6 ·
High School Converting between bases without base 10 mid-step
- smize
- · Replies 12 ·
Graduate New Points of View on the Selberg Zeta Function
- crowlogic
- · Replies 2 ·
High School Do complex number have anything like consecutive numbers?
- achyut joshi
- · Replies 14 ·
Graduate Understanding the Relationship between Group Theory and Physics
- Hymne
- · Replies 6 ·
Graduate Directional scaling (of an ellipse)
- shimniok
- · Replies 1 ·
Graduate Is There a Simple Proof of the Nullity - Rank Theorem?
- matqkks
- · Replies 1 ·
Can a Matrix Satisfy \(A^2 = A\) and be Non-Singular?
- skoker
- · Replies 3 ·
Graduate Affine spaces and time-varying vector fields
- Wox
- · Replies 2 ·
Graduate How Do Permutations Act on Vector Spaces in S3?
- Math Amateur
- · Replies 11 ·
Graduate Proving (a weaker form of) Bertrand's postulate
- stevenytc
- · Replies 7 ·
Graduate Dimension of Vector Space R^X: Finite/Infinite Cases
- TwilightTulip
- · Replies 12 ·
Undergrad Coordinate Space Transformations
- blackwind
- · Replies 8 ·
Undergrad What is the Conceptual Difference Between a Matrix and a Tensor?
- dipole
- · Replies 10 ·
Graduate Cyclic set: Difference between generator and unit
- smithnya
- · Replies 3 ·
Undergrad What is the purpose of introducing the transpose in this proof?
- georg gill
- · Replies 5 ·
Graduate Finding the eigenvalues of a complex matrix
- jezza10181
- · Replies 1 ·
Undergrad What is the basis for a vector space in Structural Engineering?
- svishal03
- · Replies 9 ·
Graduate Question on the dimension of Killing-form
- gda
- · Replies 7 ·
Graduate An algebraic proof of Fermat's conjecture
- suchness
- · Replies 12 ·
Graduate Base changing for transcendental numbers
- Stress2Death
- · Replies 6 ·
Graduate Hermitian matrices and unitary similarity transformations
- ShayanJ
- · Replies 3 ·
Undergrad What is the error in this proof of uniquness of row echelon form?
- mveritas
- · Replies 5 ·
Graduate Can Every Element in a Finite Cyclic Group Be a Generator?
- blahblah8724
- · Replies 3 ·
Undergrad Deriving the Identity: (1+2+3+...+n)^2 = 1^3 + 2^3 + 3^3 +...+ n^3
- DEMJR
- · Replies 6 ·
Graduate Sets closed under complex exponentiation
- alexfloo
- · Replies 1 ·
Graduate Is it possible to approximate an equation with circulant and toeplitz matrices?
- EngWiPy
- · Replies 5 ·
Graduate Are 2^((n-2)/2) - 1 and 2^(2n) + 1 Relatively Prime?
- Naveenks
- · Replies 2 ·
Graduate Why is the smallest subgroup of G containing A and B equal to G itself?
- blahblah8724
- · Replies 1 ·
Undergrad Solving 4th Order Polynomials: Methods and Tips for Finding Roots
- rlspin
- · Replies 4 ·
Graduate Finite Dimensionality of Endomorphism Ring in Simple Modules?
- Bleys
- · Replies 4 ·
Undergrad Can a group have repeating elements?
- blahblah8724
- · Replies 1 ·
Undergrad Vectors Perpendicular to Plane: nhat
- theneedtoknow
- · Replies 6 ·
Graduate What Is Lockwood's Identity and How Does It Relate to Pascal's Triangle?
- robimaru
- · Replies 9 ·
Undergrad Finding the rank through row operation
- timsea81
- · Replies 2 ·
Graduate Understanding Simple Lie Groups: Definition and Common Misconceptions
- Matterwave
- · Replies 4 ·
Graduate Are Sylow Subgroups' Products Always Subgroups?
- moont14263
- · Replies 6 ·
Undergrad How Can You Find 'y' When ((m*y) mod n) ≡ (n-1)?
- smslca
- · Replies 2 ·
Graduate When is an element of a finitely generated field extension algebraic?
- TopCat
- · Replies 1 ·
Graduate Alternating Group A_n - What Is Subgroup with Index n?
- c299792458
- · Replies 2 ·
Graduate Explaining Finite Solvable Groups: Understanding Burnside's Theorem
- MarkovMarakov
- · Replies 2 ·
Graduate Question regarding basis of function space
- Keldon7
- · Replies 5 ·
Graduate Real Eigen Values: Proving/Disproving Matrix AB
- asisbanerjee
- · Replies 2 ·
Eigenvalues and Eigenvectors of a Non-Diagonalizable Matrix
- Yankel
- · Replies 1 ·
Undergrad Rearranging a matrix to get the minimum diagonal
- Dows
- · Replies 6 ·
Undergrad Vector addition; spherical coordinates
- Roodles01
- · Replies 1 ·
A and B are two symmetric matrices
- Yankel
- · Replies 4 ·
What Values of k Make These Vectors Linearly Dependent?
- Yankel
- · Replies 2 ·
Is the Square Matrix A Invertible Given A^2 + A + I = 0?
- Yankel
- · Replies 3 ·
Undergrad Vectors A,B,C: Is Parallel Necessary?
- anigeo
- · Replies 2 ·
Graduate When is a matrix positive semi-definite?
- JK423
- · Replies 3 ·
Undergrad Finding x through mod regarding G.C.D
- joao_pimentel
- · Replies 4 ·
Graduate How to Compute Eigenvalues Using the QR Algorithm?
- svishal03
- · Replies 1 ·
Undergrad Is There an Algebraic Solution for 36=X^X?
- Freespader
- · Replies 3 ·
Graduate Non Integer Exponents for Cartesian Products
- Daron
- · Replies 2 ·
Graduate Complexes C and C^n as Vector Spaces.
- WWGD
- · Replies 3 ·
Graduate Invertibility of Symplectic Matrices
- WWGD
- · Replies 4 ·
Graduate What is the Definition of an Ordered Field?
- Buri
- · Replies 2 ·
Graduate What is the Riemann Hypothesis and why is it so difficult to solve?
- -Job-
- · Replies 37 ·
Graduate The nullspace of a transposed matrix
- Patlam81
- · Replies 1 ·
Graduate Group Presentations - do they determine the group
- Math Amateur
- · Replies 4 ·
Undergrad Confused about the True Geometric Meaning of a Dot Product Answer.
- The Head
- · Replies 5 ·
Undergrad Do Columns of M² Form a Basis?
- puhsyers
- · Replies 1 ·
Graduate Computing the Galois Group of a Univariate Polynomial (Irreducible or reducible)
- joebohr
- · Replies 23 ·
Graduate (another)interesting number theory problem
- Mathguy15
- · Replies 8 ·
Graduate Maths: Prove Distributive Lattices
- jessicat
- · Replies 5 ·
Graduate A system of nonlinear equations (power sum)
- mmzaj
- · Replies 3 ·
Undergrad Can you switch rows in a matrix without actually switching them?
- aaaa202
- · Replies 1 ·
Graduate Representations of the cyclic group of order n
- Math Amateur
- · Replies 2 ·
Graduate Quotients of direct sums of modules
- gauss mouse
- · Replies 4 ·
Undergrad Help with simple matrix algebra
- rusty009
- · Replies 2 ·
Graduate Basic definition of Quadratic Fields
- Math Amateur
- · Replies 7 ·
Graduate Asymptotic formula for the sum of log(p)/p
- A. Bahat
- · Replies 2 ·
Graduate Centre of the real Hamilton Quaternions H
- Math Amateur
- · Replies 3 ·
Graduate Isomorphism of the Dihedral group
- blahblah8724
- · Replies 2 ·
Graduate Isomorphism between groups of real numbers
- blahblah8724
- · Replies 3 ·
Graduate Bounding a prime number based equation
- Nelphine
- · Replies 6 ·
Graduate Matrix Inequality: Is BTB <= B1TB1?
- hayu601
- · Replies 1 ·
Undergrad What Are the Rules for Diagonal Elements in LU Decomposition?
- Muthuraj R
- · Replies 3 ·
Undergrad How Does a Vector with 3 Components Span a Plane in Linear Algebra?
- tomizzo
- · Replies 3 ·
Graduate General truth about elements of a matrix to the n-th power?
- nonequilibrium
- · Replies 3 ·
Graduate Contravariant vs Covariant components - misprint?
- Evgn
- · Replies 1 ·
Undergrad Why Is the Rank of a Matrix Equal to Its Number of Pivot Points?
- aaaa202
- · Replies 14 ·