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 Linear dependence of square matrices
- snu
- · Replies 2 ·
Graduate How do I numerically compute a state-space equation?
- hkBattousai
- · Replies 4 ·
Graduate Efficient Goldbach Partitions Formula with Intuitive Reasoning
- Marchal
- · Replies 12 ·
Graduate Observation: A Prime / Mersenne / (Ramanujan) Triangular Number Convolution
- Raphie
- · Replies 8 ·
High School Why were the Greek and Roman systems of numbers not used for actual calculation?
- Synetos
- · Replies 2 ·
Graduate How Can We Determine the Inverse Image of Euler's Totient Function?
- math_grl
- · Replies 5 ·
Graduate Gaussian Elimination Solution to the 2D Poisson Equation
- Hypatio
- · Replies 1 ·
Graduate Deriving Nilpotent Matrices: I+N^-1 = I - N + N^2 - N^3...
- brydustin
- · Replies 2 ·
Undergrad Find Combined Vector Given Angles: Is It Possible?
- Femme_physics
- · Replies 2 ·
Graduate Is Q a Positive Definite Matrix in this Mathematical Proof?
- EngWiPy
- · Replies 8 ·
Graduate Is the Equivalence Relation on Complex Numbers Related to Determinants?
- Zorba
- · Replies 2 ·
High School What Are the Axioms of Algebra?
- asap9993
- · Replies 7 ·
Undergrad Are all solutions of x^4=-1 in the complex plane valid?
- ques1988
- · Replies 3 ·
Undergrad Resources for learning how to do proofs Linear algebra
- caljuice
- · Replies 2 ·
Graduate How to find the order of a matrix?
- xsw001
- · Replies 1 ·
Undergrad How are these two equal?(equation, inequality)
- Pithikos
- · Replies 1 ·
Graduate Nilpotent Operator: Can e be Less Than or Equal to dim V?
- Treadstone 71
- · Replies 3 ·
Graduate Prove that (n-1)^2 divides n^k -1
- popitar
- · Replies 18 ·
Undergrad Significance of calculating non primes in sequence.
- idiom
- · Replies 1 ·
Graduate Why is every finite Integral Domain a field?
- calvino
- · Replies 7 ·
Graduate What is the geometric interpretation of matrices A^{T}A and AA^{T}?
- monea83
- · Replies 5 ·
Undergrad Is Fractual Geometry Theory Real?
- jimharvard
- · Replies 10 ·
Graduate Is t*x = x*t^(-1) for Elements of Order 2 in Any Group?
- xsw001
- · Replies 3 ·
Graduate Basic Question That Will Eat Your Brains
- sponsoredwalk
- · Replies 9 ·
Graduate Simultaneous eigenspace of non-commuting matrices
- blue2script
- · Replies 1 ·
Graduate Russell's and Frege's Definition of Number
- Barbie
- · Replies 24 ·
Graduate Is It Possible to Map Complex Numbers to Real Numbers Using a Unique Function?
- JungleJesus
- · Replies 9 ·
Graduate Proving Determinant of NxN Matrix All Rows & Cols Sum to 0
- robforsub
- · Replies 1 ·
Undergrad Homogeneous linear equations geometrically
- phymatter
- · Replies 2 ·
Graduate Prove x^2=1 if and only if the order of x is 1 or 2
- xsw001
- · Replies 4 ·
Undergrad Matrix Invertability & Singularity: Explained
- phymatter
- · Replies 5 ·
Graduate Homogenious Eqns: Solns Apart from Trivial Solution?
- phymatter
- · Replies 2 ·
Undergrad Vector Spaces, Polynomials Over Fields
- Seacow1988
- · Replies 1 ·
Graduate Square of the Riemann zeta-function in terms of the divisor summatory function.
- AtomSeven
- · Replies 6 ·
Graduate Does Mathematical Induction Hold for Infinite Sums?
- wany
- · Replies 6 ·
Undergrad How Does the Generalized Eigenvector Formula Work with Duplicate Eigenvalues?
- Fusilli_Jerry89
- · Replies 2 ·
Undergrad Calculating Eigenvalue for 3D Matrix
- gaffareee
- · Replies 2 ·
Graduate How does one calculate the Tensor product of two matricies?
- daveyp225
- · Replies 7 ·
Graduate Proving Field Axioms: Help & Solutions
- Demonoid
- · Replies 2 ·
Undergrad System of Equations: Is Solutions Infinite?
- phymatter
- · Replies 1 ·
Undergrad No Solution to 3 Linear Equations Using Cramer's Rule
- phymatter
- · Replies 1 ·
Graduate Quick one: \varphi{(p)}- \varphi{(p-1)}= [\varphi{(\varphi{(p)})}]^3
- al-mahed
- · Replies 2 ·
High School Finding Inverse Matrix by Definition
- shelovesmath
- · Replies 1 ·
Graduate Does the Cross Product Have Deep Mathematical Significance?
- Swapnil
- · Replies 3 ·
Graduate How can i find a bijection from N( natural numbers) to Q[X]
- cghost
- · Replies 4 ·
Graduate How Do Proofs for Vector Spaces Over Finite Fields Work?
- jOc3
- · Replies 9 ·
Graduate Prime Divisibility Property: Proving p^2 divides a^p - b^p for Integers a and b
- math_grl
- · Replies 32 ·
Graduate Defining Bilinear, Multilinear Maps (Tensor Prod., maybe)
- Bacle
- · Replies 5 ·
Graduate Do Irreducibles Induce Algebraic Extensions?
- slamminsammya
- · Replies 2 ·
Undergrad Relatively prime and independent confusion
- math_grl
- · Replies 22 ·
Undergrad Simple Matrix Help: Calculate Offsets
- Zango93
- · Replies 2 ·
Undergrad Linear Least Squares: Solving 3D Data Points in C++
- Lindley
- · Replies 2 ·
Graduate Elegant solution to this vector equation?
- monea83
- · Replies 2 ·
Graduate Elementary published (but possibly flawed) proof of FLT
- AlephZero
- · Replies 1 ·
Graduate Equivalence relation on Vector Space
- ych22
- · Replies 3 ·
Graduate Internal Direct Sum of Commutative Rings: Is I + R/I = R?
- markiv
- · Replies 6 ·
Graduate Spectra of T and T* when T is a bounded linear operator
- pyf
- · Replies 4 ·
Undergrad What are the interpretations of the dual map in linear algebra?
- marschmellow
- · Replies 8 ·
Graduate Unravelling the Mystery of the (0,3) Symmetric Tensor
- christodouloum
- · Replies 3 ·
Graduate Analytically Continue RZF Using Gamma Function: Step By Step Guide
- camilus
- · Replies 3 ·
Graduate The clue to the proof of Riemann hypothesis
- robert80
- · Replies 3 ·
Undergrad Can Division by Zero Be Defined in a More General Number Group?
- Blue_Jaunte
- · Replies 39 ·
Graduate Value of a strange continued fraction
- psychohistory
- · Replies 5 ·
Undergrad What exactly is an eigenfunction
- romsofia
- · Replies 4 ·
Undergrad Finding the Minimal L1 Norm Solution for Ax=b: A Linear Programming Approach
- umarkhan
- · Replies 2 ·
Graduate Flip operator's equality to Double Fourier
- valjok
- · Replies 2 ·
Graduate Coprime Polynomials in K[X] and C[X]
- Bleys
- · Replies 1 ·
Graduate Orthonormal Bases: Determining Coefficients for Arbitrary Vector
- mrxtothaz
- · Replies 2 ·
Undergrad On the definition of symmetric matrices
- shakgoku
- · Replies 6 ·
Undergrad Algebraic Dependence of (x,z): If (x,y,z) & (x,y) Dependent
- disregardthat
- · Replies 2 ·
Graduate What are the geometric implications of inner product spaces?
- mrxtothaz
- · Replies 1 ·
Graduate Is Differentiation an Operator That Forms a Group?
- TylerH
- · Replies 6 ·
Undergrad Non-linear LinesHow to Avoid Lying, without Confusing.
- Bacle
- · Replies 3 ·
Undergrad Is a vector space a Set?(Beginner's doubt)
- ask_LXXXVI
- · Replies 20 ·
Undergrad Why Are Finite Field Sizes Always Prime Powers?
- ych22
- · Replies 7 ·
Undergrad Getting most non-zero values near diagonal of matrix
- Nask
- · Replies 3 ·
Graduate Matrix/vector : (A-B)s = 0 does not imply A=B
- elgen
- · Replies 4 ·
Graduate Eigenvectors of symmetric matrices
- Curl
- · Replies 2 ·
Graduate How is Larger Than Defined for a Complex Number in Hermitian Product?
- A_B
- · Replies 6 ·
Graduate Are there methods for inverting non-square matrices under constraints?
- Nikratio
- · Replies 4 ·
Undergrad Am I Making an Obvious Mistake with These Eigenvectors?
- hnicholls
- · Replies 18 ·
Undergrad How to Prove by Mathematical Induction that 6 Divides (k^2+5)k for All k>=1?
- Xyius
- · Replies 7 ·
Graduate Hestenes' Geometric Algebra. What good is it?
- CarlB
- · Replies 10 ·
Graduate How to Extend and Calculate a Basis for the Whole Space
- boderam
- · Replies 2 ·
Undergrad What is a linear transformation in plain english?
- coco richie
- · Replies 15 ·
Graduate Why are spinors interesting, from a Clifford algebra perspective
- ComeInSpinor
- · Replies 7 ·
Undergrad Is Ax=wKx considered an eigenvalue problem in advanced linear algebra?
- navalstudent
- · Replies 1 ·
Graduate Dimension of A(Y) and Height of p in Ring Let A = k[x,y,z]
- disregardthat
- · Replies 2 ·
Undergrad Field axioms with or without closure
- honestrosewater
- · Replies 9 ·
Graduate Mobius: Representations of SU(2,1)=U(1,1)
- TriTertButoxy
- · Replies 4 ·
Graduate Left, Right Inverses: Multiple Left Inverses and No Right Inverse?
- psholtz
- · Replies 1 ·
Graduate Group generation and normal subgroups
- Bleys
- · Replies 2 ·
Undergrad General Solutions to a Linear System
- HeartSoul132
- · Replies 3 ·
Undergrad Simple Q about calculating Nullspace
- 11markus04
- · Replies 1 ·
Graduate Is This the Correct Identity for Natural Numbers?
- oszust001
- · Replies 4 ·
Graduate How to Prove a^m ≡ a^{m-φ(m)} mod m?
- oszust001
- · Replies 3 ·
Undergrad Finding Modulus Relations in Equations
- TylerH
- · Replies 3 ·
Undergrad Unsolvable Linear Algebra System: Need Help with Least Squares Method
- WCMU101
- · Replies 1 ·
Graduate Why do groups capture the essence of symmetry?
- kexue
- · Replies 6 ·
Graduate (Non-)Cartesian Categories and Diagonal Arguments
- S.Daedalus
- · Replies 2 ·