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 Where to Find Original Manuscript of Proof of Taniyama Shimura Conjecture?
- Leopold Infeld
- · Replies 2 ·
High School What Do Digit Counts Mean in Prime Number Tables?
- endfx
- · Replies 44 ·
Graduate Square Packing Solutions for 24 Integer Squares
- AntonVrba
- · Replies 8 ·
Graduate Vector Bases Dilemma: Finding the Real Elements
- Kocur
- · Replies 10 ·
Graduate Question in regards to Permutation matrices, basis, and non linear functions
- SupaNerd
- · Replies 2 ·
Graduate Is f an Eigenfunction of Operator A Given the Equality <f|A f>² = <f|A² f>?
- TeCTeP
- · Replies 7 ·
Undergrad Explore Irrational Numbers: Find Out How Close You Can Get!
- Sunshine
- · Replies 9 ·
Graduate How to Find a Maximal Subset of X in V=C[0,1]?
- laminatedevildoll
- · Replies 2 ·
Graduate How can I calculate the Killing form of a Lie algebra using a specific basis?
- Dogtanian
- · Replies 5 ·
Graduate Is the Adjugate of a Singular Matrix Also Singular?
- loli12
- · Replies 5 ·
High School The Importance of Zero: Uncovering its Significance
- strid
- · Replies 112 ·
Graduate Vector Space P_4: Basis with Tchebychev Polynomials
- laminatedevildoll
- · Replies 8 ·
Graduate SL(2,C) & sl(2,C): Physics Book Reference
- dextercioby
- · Replies 20 ·
Graduate A VERY interesting Fermat-like sequence: A_n=4^3^n+2^3^n+1
- T.Rex
- · Replies 3 ·
Undergrad Triangle Inequality: True or False?
- blinder
- · Replies 2 ·
High School Can You Solve the Equation 5^n = 80n for n?
- One-D
- · Replies 5 ·
Graduate Find Matrix of Reflection at y=-4x & Rotation 45 Degrees Axis [1,2,2]
- laminatedevildoll
- · Replies 2 ·
Graduate Help about properties of Pell numbers
- T.Rex
- · Replies 2 ·
Graduate Proving V+J=k[x] using induction for k with polynomial ring in n variables
- grimster
- · Replies 2 ·
Graduate Ordenation of the complex number and its consequences
- aviator
- · Replies 2 ·
Graduate Proving Independent Functions: Wronskian for n=2
- dogma
- · Replies 3 ·
Undergrad Which Math Course to Choose for a Physics Major: Algebra I or Linear Algebra I?
- singleton
- · Replies 8 ·
Graduate Can the Direct Sum of Cyclic Groups Determine the Properties of Finite Groups?
- Zaare
- · Replies 11 ·
Graduate Proofs in Linear Algebra: Countable Sets, Algebraic Numbers, and Fields
- blaster
- · Replies 2 ·
Undergrad Cross Product in R^n: Defined or Undefined?
- quasar987
- · Replies 7 ·
Undergrad Curves intersecting at the origin
- b0mb0nika
- · Replies 8 ·
Undergrad Motivations for eigenvalues/vectors
- eckiller
- · Replies 4 ·
Undergrad Infinitely Many Solutions? A Homework Problem to Investigate
- blinder
- · Replies 3 ·
Graduate Triangular numbers, T(An +B), that equal (Cn+D)*(En+F) for all n
- ramsey2879
- · Replies 3 ·
Graduate Nabla operator to geometric product
- Raparicio
- · Replies 2 ·
High School Applications of Linear Equations Monetary Word Problem
- dajohu
- · Replies 2 ·
Undergrad How can I prove the invertibility of a diagonalizable matrix?
- randommacuser
- · Replies 10 ·
Graduate Question about zero element in vector spaces
- randommacuser
- · Replies 4 ·
Graduate The Mystery of Pell and NSW Numbers: Can You Solve It?
- T.Rex
- · Replies 2 ·
Undergrad Solving Line Space Problem with Matrices A & B
- Cyannaca
- · Replies 4 ·
Graduate I name this number the Near Integer Ratio Rv
- AntonVrba
- · Replies 21 ·
Graduate Discussing the Near Step Function for γ=0.4823241136337762
- AntonVrba
- · Replies 5 ·
Graduate Proving Similar Matrices Have the Same Characteristic Polynomial
- EvLer
- · Replies 2 ·
Undergrad Finding k for Linear Dependence in a Vector Space
- Cyannaca
- · Replies 2 ·
Graduate Are Orthogonal Matrices Compact?
- blaster
- · Replies 2 ·
Graduate Confused about C Embedding in Funct(Cop, Set)
- Hurkyl
- · Replies 3 ·
High School Where Can I Find Resources for Learning About Matrices and Solving Methods?
- chandran
- · Replies 1 ·
Undergrad Matrix Multiplication: Can You Multiply a Matrix in the Middle?
- EvLer
- · Replies 2 ·
Undergrad Nullspace of non-zero 4x4 matrix
- EvLer
- · Replies 6 ·
Undergrad Are These Sets Vector Spaces?
- madking153
- · Replies 8 ·
Graduate Existence of n T-invariant Subspaces in Vector Spaces and Linear Operators
- graceytigger
- · Replies 2 ·
Graduate 2 non-zero matrix A and B, and A*B=0
- blaster
- · Replies 2 ·
Undergrad Linear (in)dependent vector sets
- madking153
- · Replies 3 ·
Undergrad Why Are Diagonalized Matrix Columns the Eigenvectors?
- toffee
- · Replies 3 ·
Undergrad Orthogonal Basis: Correct to Assume No Non-Orthogonal?
- EvLer
- · Replies 29 ·
Undergrad How Can We Determine the Value of p to Make Three Vectors Coplanar?
- Ryoukomaru
- · Replies 4 ·
Undergrad Anyone knows about Markov Chains?
- nktvnvn
- · Replies 2 ·
Graduate Me, myself and conjugate permutations
- Chen
- · Replies 8 ·
Undergrad Expressing Natural Numbers as Sum of Primes
- metrictensor
- · Replies 13 ·
Graduate Prove that a set is a monoid, but not a ring.
- grimster
- · Replies 5 ·
Undergrad Algebra: Expressibility of f(x) with 10 Numbers
- sid_galt
- · Replies 6 ·
High School How can you rearrange a formula to make a specific number the subject?
- mtanti
- · Replies 2 ·
Graduate Determinat of a continous matrix?
- wenty
- · Replies 4 ·
Graduate Linear transformation, show surjection and ker=0.
- grimster
- · Replies 9 ·
Graduate Visualizing the Associative & Distributive Properties of Rings
- BicycleTree
- · Replies 22 ·
Undergrad Patterns of Solution Sets of a System of Linear Equations
- e(ho0n3
- · Replies 2 ·
Graduate General Definition of Relatively prime
- snoble
- · Replies 11 ·
Undergrad Exploring Orthogonality in Linear Algebra: A Simple Proof of a Common Identity
- EvLer
- · Replies 2 ·
Graduate Operator change of basis (QM / QI)
- James Jackson
- · Replies 6 ·
Graduate Understanding the Limit of Recursive Sequence R_n for x = k^2 - k + 1
- bomba923
- · Replies 11 ·
Graduate Intersection of cyclic subgroups
- Chen
- · Replies 2 ·
Graduate Find all the homomorphisms from Z12 to Z6?
- kara1424
- · Replies 2 ·
Graduate Prove/Disprove: F1 and F2 Isomorphic as Fields
- T-O7
- · Replies 5 ·
Graduate Proof: S_n is Not Abelian for n >= 3
- TsunamiJoe
- · Replies 6 ·
Graduate Can Polynomial Maps and Ideals Demonstrate a Ring Isomorphism in Finite Fields?
- grimster
- · Replies 2 ·
Undergrad Troubleshooting a System of Linear Equations
- Exulus
- · Replies 4 ·
Graduate Writing Natural Numbers: A Unique Expression Using Powers of 2 and Odd Numbers
- gravenewworld
- · Replies 8 ·
Graduate Can Any Unitary Matrix Be Expressed as e^A?
- bor0000
- · Replies 11 ·
Graduate Finite groups and order of their elements
- Chen
- · Replies 8 ·
Graduate How Natural Isomorphisms Work: Understanding the Basics
- Hurkyl
- · Replies 8 ·
Undergrad What are the properties and connections between bit strings and graph theory?
- miraclepie
- · Replies 2 ·
Graduate Origin of Numbers: Pythagorean Theory
- arivero
- · Replies 6 ·
Graduate Prove Endomorphism Ring of Simple Module is a Field
- Don Aman
- · Replies 13 ·
High School Mystery of 2.3: Is it Even or Odd?
- The Rev
- · Replies 22 ·
Graduate Generate All Permutations of Sn from An and 1 Odd Permutation
- gravenewworld
- · Replies 2 ·
Undergrad Are Skew-Symmetric Matrices a Subspace of Mat2x2(ℝ)?
- mang733
- · Replies 4 ·
Graduate Proving Module Homomorphisms: A x B to M & M to A x B
- JdotAckdot
- · Replies 2 ·
Undergrad Can Infinity Divided by Zero Yield One?
- B-Con
- · Replies 14 ·
Graduate What Are Right Ideals in M(n,n) and How to Explore Them?
- Gale
- · Replies 5 ·
Graduate Proving Equality of Fields with Distinct Primes in Z
- T-O7
- · Replies 2 ·
Graduate Is the Kernel of a Field Homomorphism Trivial or Isomorphic to the Field?
- ti89fr33k
- · Replies 2 ·
Undergrad Understanding Multiplicity and Dimension in Eigenvectors
- EvLer
- · Replies 5 ·
High School An easy question about cartesian product
- C0nfused
- · Replies 5 ·
Graduate Homework question regarding irreducible representations
- PhysKid24
- · Replies 4 ·
Undergrad Solutions to x^2==22(mod103) in Z103
- clueles
- · Replies 4 ·
Undergrad Solving f(x)=3x^2+7x=5 for m=23 and m=25 using Completing the Square
- clueles
- · Replies 2 ·
Graduate Prove that inv(G) is a group. G is a monoid
- grimster
- · Replies 6 ·
Graduate Proving K/F is Separable Extension
- Palindrom
- · Replies 3 ·
Graduate Is T(inv)(0) a Subspace of V and T(V) a Subspace of W?
- mang733
- · Replies 4 ·
Graduate Proving Isomorphism: Aut n(K) and Symmetric Group Sq^n
- grimster
- · Replies 12 ·
Undergrad Proving Congruence: (p-1, k) ≡ (-1)^k (mod p)
- katatonia
- · Replies 5 ·
Undergrad Solution Sets and Linear Equations
- e(ho0n3
- · Replies 3 ·
Graduate O(ab) when o(a) and o(b) are relatively prime
- Chen
- · Replies 11 ·
Graduate Eigenvalues of the square of an operator
- StatusX
- · Replies 12 ·
Graduate Factoring x^5+x+1 Using Modulo - A Guide
- amcavoy
- · Replies 1 ·