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 Integral equation for Xi-function
- zetafunction
- · Replies 1 ·
Undergrad Modulo arthmetic solve for x^N .
- shadowhywind
- · Replies 5 ·
Undergrad What Prerequisites Should I Review Before Learning Linear Algebra?
- Saladsamurai
- · Replies 14 ·
Graduate What are the best linear algebra textbooks for self-study?
- dmuthuk
- · Replies 7 ·
Graduate Navigating Research on Riemann Hypothesis
- Newtime
- · Replies 3 ·
Graduate Runner Alignments on Circular Tracks: Meeting Times and Speed Combinations
- Gerenuk
- · Replies 9 ·
Graduate Show the reflections over the line do not have group structure?
- ktusurveyor
- · Replies 1 ·
Undergrad How do I find the power of (3-i)^12 using trigonometric form?
- hellbike
- · Replies 1 ·
Graduate Is Unitarity Preserved by Different Inner Products?
- e(ho0n3
- · Replies 4 ·
Undergrad Diophantine and coprime solutions x,y
- thomas430
- · Replies 2 ·
Graduate Vector expressed in a basis noncoplanar, neither orthogonal nor of unit length
- jonjacson
- · Replies 3 ·
Undergrad Square of the sum = Sum of the cubes
- rsala004
- · Replies 7 ·
Graduate Innner product for which derivative operator is bounded
- esisk
- · Replies 2 ·
Undergrad Do 3x3 Symmetric Matrices Form a Subspace of 3x3 Matrices?
- hahatyshka
- · Replies 3 ·
Graduate Open problems/Research Suggestions
- Newtime
- · Replies 3 ·
Undergrad What is the theory behind elementary matrices?
- stanley.st
- · Replies 2 ·
High School A basic question about vectors
- mantrapad
- · Replies 3 ·
Undergrad Subspace of Polynomials of degree 2
- Tomblue
- · Replies 11 ·
Graduate Classifying Complex Matrices with Cubed Identity: What Does Similarity Mean?
- CoachZ
- · Replies 4 ·
Graduate What is an Extreme Point in a Convex Set?
- mikepol
- · Replies 5 ·
Graduate Cyclic abelian group of order pq
- guildmage
- · Replies 4 ·
Graduate What is the significance of [e^([pi]i)]+1=0 in mathematics?
- Muon12
- · Replies 51 ·
Undergrad Can explain to me what is mean of span?
- nothGing
- · Replies 6 ·
Undergrad How is the Determinant of a Matrix Affected by Row Operations?
- epkid08
- · Replies 5 ·
Graduate Cycle Length of the Positive Powers of Two Mod Powers of Ten
- DoctorBinary
- · Replies 8 ·
Undergrad Connection of linear equation to span.
- merry
- · Replies 8 ·
Graduate What Are Some Recommended Textbooks for Learning Lie Algebras?
- thrillhouse86
- · Replies 2 ·
Graduate Legendre symbol proof for (-5/p)
- abertram28
- · Replies 3 ·
Undergrad Why would f(x) not be included in the determinant?
- epkid08
- · Replies 9 ·
Graduate Simplifying e^{At} to Matrix Form: A General Expression?
- epkid08
- · Replies 1 ·
Graduate For any two elements A and B that form AB, neither A nor B have to be
- Gear300
- · Replies 8 ·
Undergrad Difference between linear and nonlinear transformation
- yaganon
- · Replies 2 ·
High School Algebra, rearranging equations
- jamesd2008
- · Replies 7 ·
Graduate Proof: Basis Representation Theorem
- buffordboy23
- · Replies 3 ·
High School Can Non-Commutative Symmetric Matrices Defy Mathematical Rules?
- brandy
- · Replies 2 ·
Graduate Finite Abelian Group: Showing Isomorphism & Subgroups of Order/Index p
- NanoSaur
- · Replies 1 ·
Graduate How Does Galois Theory Help Determine the Structure of the Dihedral Group D4?
- ~Death~
- · Replies 3 ·
High School System equations - unique / no / infinite solution
- jwxie
- · Replies 2 ·
Graduate Solving Linear Equations with Poorly Conditioned Matrices
- matematikawan
- · Replies 5 ·
Graduate Divisibility of powers of primes
- thomas430
- · Replies 5 ·
Graduate The normalizer of the normalizer of a p-sylow supgroup
- Niall101
- · Replies 4 ·
Undergrad Linear Transformation S: Matrix A, Injective/Surjective
- orange12
- · Replies 3 ·
Undergrad Solving 4 product equations 4 unknowns
- golmschenk
- · Replies 1 ·
Graduate What Happens to the Roots of Z(s) if the Riemann Hypothesis Holds True?
- zetafunction
- · Replies 3 ·
Graduate Show that the two systems Ax=b RAx=Rb
- orange12
- · Replies 3 ·
Graduate Row of a matrix is a vector along the same degree of freedom
- Gear300
- · Replies 5 ·
Undergrad Iterative methods: system of linear equations
- defunc
- · Replies 2 ·
Graduate Linear transformation of a 2nd order pde
- dknight237
- · Replies 14 ·
Graduate Can a Complex Matrix X Solve the Column Subspace Problem?
- wangxianfeng
- · Replies 1 ·
Undergrad Square pyramidal numbers and Tetrahedral numbers
- Helios
- · Replies 6 ·
Undergrad Does n Divide (n-1)! for Composite and Prime Numbers?
- margot
- · Replies 6 ·
Undergrad Proving Divisibility: How to Show b|a When b3|a2 - Helpful Tips"
- audiowize
- · Replies 6 ·
Graduate Riemann-Siegel Theta Function Approximation
- marcusmath
- · Replies 2 ·
Graduate Rank of a 2-vector (exterior algebra)
- jojo12345
- · Replies 1 ·
Undergrad If a,m and n are positive integers with m<n
- margot
- · Replies 1 ·
Undergrad Finding the number of elements in a cyclic group
- hitmeoff
- · Replies 3 ·
Graduate Precise relation between quaternion and vectors
- jonjacson
- · Replies 6 ·
Undergrad Proving Vector Subspace: V in W iff V+W in W
- Juggler123
- · Replies 2 ·
Undergrad Confusion regarding dot product of vectors(row matrices)
- mdnazmulh
- · Replies 3 ·
Undergrad Transform Grammer to Chomsky Normal Form
- jferg449
- · Replies 1 ·
Graduate Why Does \( g^{m!} \in H \) for All \( g \in G \)?
- mathmadx
- · Replies 3 ·
Undergrad Proving Matrix A is a Spanning Set of R4
- d_b
- · Replies 8 ·
Undergrad Simple number theory, divisibility
- TheFurryGoat
- · Replies 23 ·
Graduate How to determine if a subset of rank-1 matrices can sum to a full-rank matrix?
- Pere Callahan
- · Replies 1 ·
Graduate What is the identity for a product of 2 LC Tensors in 4D with 3 summed indicies?
- div curl F= 0
- · Replies 1 ·
Graduate Proving 'If (2^n)-1 is Prime, Then n is Prime' Using Groups
- Bleys
- · Replies 1 ·
Graduate Show that every quaternion z, where |z|= 1, can be expressed
- innuendo999
- · Replies 9 ·
Graduate Ideals of direct product of rings are direct product of respective ideals?
- fischer
- · Replies 2 ·
Graduate Proving Isomorphism Between Finite Group and Z_2 Using Group Theory
- mathmadx
- · Replies 5 ·
Graduate Does o(ab)=lcm(o(a),o(b)) for Group G Elements a & b?
- Artoria
- · Replies 1 ·
Undergrad Homogeneous System: Why Invertible A Has No Non-Zero Solutions?
- cupu
- · Replies 2 ·
Graduate How does XOR qualify as a linear function?
- B-Con
- · Replies 5 ·
Undergrad What's wrong with my algebra here? (dealing with determinants)
- iamsmooth
- · Replies 8 ·
Graduate Understanding Quaternion Multiplication for 3D FPS Camera: A Simplified Approach
- sarah2529
- · Replies 7 ·
Graduate Trying to find an isometry T(X)=MX
- viviane363
- · Replies 2 ·
Undergrad Basis for the nullspace of this matrix
- Noxide
- · Replies 2 ·
Graduate Bijection between Orbit and Stabilizer
- chaotixmonjuish
- · Replies 7 ·
Undergrad Does anyone know of any sites with a good general overview of linear algebra?
- nietzsche
- · Replies 2 ·
Graduate Linear Operator and Self Adjoint
- charikaar
- · Replies 1 ·
Graduate Composition of Linear Transformation and Matrix Multiplication
- jeff1evesque
- · Replies 9 ·
Graduate Show that det(A) is the product of all the roots of the characteristic
- k10sstar
- · Replies 2 ·
Graduate Show Commutativity of Group with All Elements of Order 2 & Consider Zn
- halvizo1031
- · Replies 3 ·
Undergrad Tidying Up Vectors: Correct Representation or Too Mathy for Physics?
- Noxide
- · Replies 1 ·
Undergrad Why is the cross product defined and used in this specific way?
- Noxide
- · Replies 3 ·
Undergrad Eigenvalues and one on diagonal matrices 1-
- Kayne
- · Replies 8 ·
Graduate Solve Group Theory Problem - Prime Order of G must be p^n
- equivalence
- · Replies 3 ·
Undergrad Prime counting function- no error.
- Nash
- · Replies 15 ·
The prime numbers distribution in R
- ilario980
- · Replies 1 ·
Undergrad Vector Space vs Field F Vector Space
- kman12
- · Replies 7 ·
Graduate Characteristic or a finite field is a prime number?
- el3orian
- · Replies 8 ·
Graduate Isomorphism between Dihedral and Symmetric groups of the same order?
- Bleys
- · Replies 1 ·
Undergrad Can vector spaces and their subspaces be visualized effectively?
- Dosmascerveza
- · Replies 4 ·
Undergrad Is there a relationship between right cosets and orbits in group theory?
- cmj1988
- · Replies 3 ·
Graduate Proving Invariance of Transformations and the Linearity of a Specific Operation
- Hallingrad
- · Replies 8 ·
Undergrad Carmichael Numbers: Understanding Their Significance and Properties
- thomas430
- · Replies 5 ·
Graduate Why Are the 7 Sylow 2-Subgroups Intersection Trivial?
- math_grl
- · Replies 1 ·
Undergrad Just wondering about the structure of a determinant
- Dosmascerveza
- · Replies 3 ·
Undergrad Prove that if A is an invertible matrix and AB = BC then B = C.
- ha9981
- · Replies 1 ·
Graduate Classification of the representations of the Lorentz algebra
- martin_blckrs
- · Replies 1 ·
Graduate Is tr(A A^T) Equal to tr(A^T A)?
- ha9981
- · Replies 1 ·