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 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 for Any Finite Field F
- mansi
- · Replies 5 ·
Undergrad Group Theory Basics: Order & 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 Understanding Wiles' Proof of Fermat's Last Theorem: A Beginner's Guide
- C0nfused
- · Replies 13 ·
Undergrad Vectors & Matrices Defined Up to Scale
- gnome
- · Replies 2 ·
High School Factoring Pattern for ax^2 + bx + c
- IndigoSwing4
- · Replies 5 ·
Undergrad Solving a Diophantine Equation with $4000 and Cows, 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 Understanding Numbers: Definition, Symbols, and Cardinality Explained
- 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 Need some help with basic complex variables (no proofs)
- nocheesie
- · Replies 9 ·
Undergrad Matrix rep. of Linear Transformation
- eckiller
- · Replies 2 ·
Undergrad Proving R^2 is a Vector Space: Finding Zero Vector & More
- 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 Primes in ring of Gauss integers - help
- T-O7
- · Replies 7 ·
Graduate Is Linear Independence Over Z the Same as Linear Independence Over R?
- T-O7
- · Replies 24 ·
Graduate I have discovered a formula for PI(x)
- 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 Learn How to Solve sin(nx)/n for Infinity with Expert Guidance"
- 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 Algebra Hw Help: Subset Independence & Dimension | C(R) Functions"
- 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 Equivalence of C & D: A Question
- 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 ·
Ripped Off: 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 Inverses Exist in Finite Fields: A Common Challenge in Field Theory
- 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 and Why is it Important in Mathematics?
- bhanukiran
- · Replies 5 ·
Undergrad Independence Test Homework Problem Solution
- 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 Vector Space Solutions for Systems: Explained Here
- 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 Another complex system of linear equations
- 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 System of linear congruences Help, please
- MathExpert
- · Replies 2 ·
Graduate Prove: Every Subfield of C Contains Rational Numbers
- poolwin2001
- · Replies 11 ·
Undergrad Proving det(A) = lambda_1 * lambda_2 * ... * lambda_n for Eigenvalue A
- Niels
- · Replies 7 ·
Undergrad Is V \ U a Subspace of V? Examining the Conditions for Subspace Inclusion
- twoflower
- · Replies 4 ·
Graduate Generalized Pell Equation and Primes
- ramsey2879
- · Replies 6 ·
Undergrad Solving Polynomials (mod p) Problems
- ascheras
- · Replies 3 ·
Graduate Has Anyone Explored 3D Number Scattering?
- 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 ·
Undergrad Are There Multiple Solutions to this System of Linear Congruences?
- oliver$
- · Replies 7 ·
Graduate How to Prove the Determinant of a Cosine Matrix?
- Nobody1111
- · Replies 2 ·