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.
Threads
Graduate A trick to calculate Pi(a) for any a?
- eljose
- · Replies 9 ·
Graduate Summing Powers of 10: Bernoulli's Method
- damoclark
- · Replies 6 ·
Undergrad How is multiplication defined and how does it relate to the natural numbers?
- C0nfused
- · Replies 7 ·
Graduate Find Idempotent Element in Z/mnZ (m,n Relatively Prime)
- mansi
- · Replies 2 ·
Graduate Proving (1+a2)(1+a3)...(1+an)=0 in a finite field
- mansi
- · Replies 5 ·
Undergrad What are the orders of groups and cyclic groups?
- rayveldkamp
- · Replies 2 ·
Graduate What is the Integral Representation of Pi(x)?
- eljose
- · Replies 30 ·
Graduate Is There a Solution for x^4 ≡ 2 (mod p) When p ≡ 1 (mod 4)?
- b0mb0nika
- · Replies 2 ·
Graduate Proving Isomorphism of Groups with Elements of Same Order
- SquareCircle
- · Replies 6 ·
Graduate Can the multiplicative group of a finite field be proven to be cyclic?
- dogma
- · Replies 2 ·
Graduate Proving 1 p-Sylow Subgroup of G is Normal
- dogma
- · Replies 2 ·
Undergrad Solve a Riddle with Base System Minus 1 - Nadine
- nados29
- · Replies 3 ·
Undergrad What knowledge is needed to study Wiles' proof of Fermat's Last Theorem?
- C0nfused
- · Replies 13 ·
Undergrad What does "defined up to scale" mean in homogeneous coordinates?
- gnome
- · Replies 2 ·
High School Factoring Pattern for ax^2 + bx + c
- IndigoSwing4
- · Replies 5 ·
Undergrad Farmer buying 100 animals for $4000: calves, lambs, piglets
- lokisapocalypse
- · Replies 2 ·
Undergrad Sharipov's linear algebra textbook
- Perion
- · Replies 25 ·
Undergrad What Are the Real-World Applications of Linear Transformations?
- EvLer
- · Replies 3 ·
Graduate A group theoretic puzzle in solid geometry
- mathwonk
- · Replies 7 ·
Graduate What is Rational Canonical Form and How is it Used in Rings and Fields?
- Palindrom
- · Replies 4 ·
High School What is an exact definition of numbers and cardinals?
- C0nfused
- · Replies 15 ·
Undergrad Can x^n-a=0 have n real roots for n>2?
- msmith12
- · Replies 3 ·
Graduate How can A-orthogonal vector sets be determined using positive definite matrices?
- eckiller
- · Replies 4 ·
Undergrad Examples of non-differentiable and pathological complex functions
- nocheesie
- · Replies 9 ·
Undergrad Matrix rep. of Linear Transformation
- eckiller
- · Replies 2 ·
Undergrad How to prove R² is a vector space and find its zero vector
- matrix_204
- · Replies 8 ·
Graduate A diophantine puzzle for students
- mathwonk
- · Replies 10 ·
Graduate Can any real number be represented by a continued fraction?
- eljose
- · Replies 24 ·
Undergrad Minimal and characteristic polynomial
- cateater2000
- · Replies 4 ·
Graduate Headache about Kollatz algorythm
- FromRussiaWithLove
- · Replies 2 ·
Graduate Proofing Catalan Numbers: A Combinatoric Approach
- msmith12
- · Replies 3 ·
Graduate Proving Group Properties of \left< U_n, \cdot \right>
- hedlund
- · Replies 8 ·
Undergrad Is the System of Equations Inconsistent Despite a Solved Example?
- SomeRandomGuy
- · Replies 7 ·
Undergrad Is Order of Operations the Same in Vector Spaces as in Junior High School?
- C0nfused
- · Replies 2 ·
Graduate Counting Non-Isomorphic Binary Operations on G with p Elements
- Zaare
- · Replies 5 ·
Graduate Theorem about symmetric matrices?
- PBRMEASAP
- · Replies 7 ·
Graduate When does x² + x + 1 have a root in F_p?
- T-O7
- · Replies 7 ·
Graduate Is Linear Independence Over Z the Same as Linear Independence Over R?
- T-O7
- · Replies 24 ·
Graduate Integral representation for the prime counting function
- eljose
- · Replies 21 ·
Graduate Proving the Order of Elements in a Finite Group G
- PhysKid24
- · Replies 5 ·
Graduate Solution to Frobenius Problem for N=2: Proof?
- adamg
- · Replies 3 ·
Graduate Prove that T^2 = T0 IFF R(T) C N(T)
- eckiller
- · Replies 2 ·
Undergrad Lin. transf. and linear independence
- eckiller
- · Replies 2 ·
Undergrad Proof of Equality for X1, X2, X3 Vector-Space Spans
- EvLer
- · Replies 5 ·
Graduate Sum of sin(nx)/n from 1 to infinity
- Bossieman
- · Replies 4 ·
Undergrad Proving Algebraic Nature of Root 3 + Root 2
- lokisapocalypse
- · Replies 2 ·
Undergrad What is the significance of Rn and Rm in Calculus?
- amb123
- · Replies 4 ·
Undergrad Linear independence of exponential functions and their derivatives
- bor0000
- · Replies 10 ·
Graduate Proving the Intermediate Value Theorem in Higher Dimensions using Homeomorphisms
- mansi
- · Replies 10 ·
Undergrad Finding Elements in Row Space of a Matrix: Solving for Belonging and Dependency
- EvLer
- · Replies 3 ·
Graduate Derivative Mapping in V: Understanding Rank, Nullity, Nullspace, and Range of D
- eckiller
- · Replies 2 ·
Graduate If C and D are full subcategories of each other, are they equal or equivalent?
- phoenixthoth
- · Replies 3 ·
Undergrad Merseinne Primes: Question from a Maths Dunce
- Canute
- · Replies 8 ·
Graduate Maximum Number of Terms in a Homogeneous Polynomial of m Variables and Degree n
- danoonez
- · Replies 3 ·
How many times the real amount if you paid $1 for a free bag?
- einstein_from_oz
- · Replies 15 ·
Undergrad How do you determine the coefficients for a linear transformation matrix?
- Felix83
- · Replies 5 ·
Graduate Proving E = F(u) when [E:F] = 2 and char(E) > 2
- Palindrom
- · Replies 19 ·
Graduate What Is a Basis for Vector Spaces of Finite Nonzero Term Sequences?
- eckiller
- · Replies 2 ·
Undergrad Do different eigenvector algorithms yield different results?
- disillusioned
- · Replies 3 ·
Undergrad Solving Gaussian Elimination Algorithm Problem (Matrices)
- adc85
- · Replies 2 ·
Graduate What is Hilbert space?
- bhanukiran
- · Replies 5 ·
Undergrad Testing linear independence of three column vectors
- EvLer
- · Replies 4 ·
High School Introductory Number Theory Books for High School Seniors
- Malex
- · Replies 12 ·
Undergrad What Are the Real Meanings and Purposes of Eigenvalues and Eigenvectors?
- shankar
- · Replies 7 ·
Undergrad This shows that the parallelogram law holds for complex numbers.
- Kahsi
- · Replies 3 ·
Undergrad Row reduced matrix has coefficents
- 3.14159265358979
- · Replies 2 ·
Graduate How Can I Interpolate Rotation Matrices for Skeletal Animation?
- Dissident Dan
- · Replies 2 ·
Graduate Representing a permutation, and a curiosity
- dodo
- · Replies 4 ·
Undergrad Is a solution set for a system always a vector space?
- EvLer
- · Replies 2 ·
Undergrad Is Scalar Multiplication of Vectors Written Without Parentheses?
- C0nfused
- · Replies 3 ·
Graduate Infinetely many primes of the form 3n+1
- b0mb0nika
- · Replies 4 ·
Graduate How Do You Decompose a Random n-Cycle into 2-Cycles?
- frb
- · Replies 1 ·
Undergrad Solving Vector Equation: (2i - 3j + 4k) X A = (4i +3j - k)
- skiboka33
- · Replies 9 ·
Undergrad What is the purpose of linear algebra in real life?
- Moonbear
- · Replies 20 ·
Undergrad Solving a system of linear equations with complex coefficients
- 3.14159265358979
- · Replies 8 ·
Undergrad Diagonalize a Matrix A - Normalize eigenvectors
- DaVinci
- · Replies 6 ·
Graduate How to Start Learning Lie Groups with Minimal Physics Background?
- adityatatu
- · Replies 2 ·
Graduate What is the Relationship Between the Image and Kernel of T and T^n?
- Chen
- · Replies 3 ·
Undergrad Understanding Linear Independence: Proving Non-Zero Status of One-Element Sets
- EvLer
- · Replies 4 ·
High School Why does commutivity of real numbers exist for multiplication
- roger
- · Replies 3 ·
Graduate Anoter question on vector spaces an rationnal numbers
- seratend
- · Replies 39 ·
Undergrad Finding Solutions to Complex Linear Systems
- 3.14159265358979
- · Replies 3 ·
High School How do u show that a matrix is diagonizable?
- himurakenshin
- · Replies 3 ·
Undergrad What are the properties of subspaces?
- matrix_204
- · Replies 9 ·
Proof that 1/2 +2/3 + 3/4 does not equal a whole number
- Astronamus
- · Replies 22 ·
Undergrad Coordinates of vector to the base
- twoflower
- · Replies 2 ·
Graduate Is the Collatz Problem Undecidable or Not?
- MathematicalPhysicist
- · Replies 14 ·
Undergrad Finding Perfect Squares Modulo a Number: 4 (mod 10) Example
- daster
- · Replies 9 ·
Undergrad Solving Linear Dynamical Systems with Eigenvectors and Eigenvalues
- himurakenshin
- · Replies 15 ·
Graduate Finding Eigenvalues of an Arbitrary Matrix
- himurakenshin
- · Replies 6 ·
Undergrad Solve system of linear congruences modulo 251, 401, 907
- MathExpert
- · Replies 2 ·
Graduate Does every subfield of ℂ contain all rational numbers?
- poolwin2001
- · Replies 11 ·
Undergrad How to prove the determinant equals the product of eigenvalues
- Niels
- · Replies 7 ·
Undergrad Is V \ U a subspace of V?
- twoflower
- · Replies 4 ·
Graduate Generalized Pell Equation and Primes
- ramsey2879
- · Replies 6 ·
Undergrad Solving Polynomials (mod p) Problems
- ascheras
- · Replies 3 ·
Graduate 3D number scattering with square and rectangular grids
- EG
- · Replies 22 ·
Graduate Parallelogram Equality+Inner Product Spaces
- gravenewworld
- · Replies 2 ·
Undergrad Which linear algebra textbook is best for a high school senior on a budget?
- daster
- · Replies 9 ·
Undergrad How to Solve the Equation X^2 + 1 = 0 (mod 5^3)?
- brute26
- · Replies 2 ·