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 An Algorithm to find a Prime Decompisition
- Chu
- · Replies 2 ·
Graduate What Does This Subspace Expression Mean?
- jbmap
- · Replies 10 ·
Graduate Got a bizzare question, appreciate any hints
- Try hard
- · Replies 3 ·
Graduate How Do Splitting Fields Relate to Each Other?
- Euclid
- · Replies 5 ·
Graduate Proving Invertibility of Matrices: A Small Difference Makes a Big Impact
- Try hard
- · Replies 2 ·
High School Solving a 4x4 Determinant for Math Projects
- jebeagles
- · Replies 4 ·
Undergrad What is the Basis for the Subspace V in R3 with the Equation x+2y+3z=0?
- gunnar
- · Replies 2 ·
Graduate How Do Prime Numbers Divide Factorials?
- Ethereal
- · Replies 2 ·
Undergrad How to Solve a Polynomial with Reciprocal Roots?
- galois427
- · Replies 2 ·
Graduate How Can You Prove a Spanning Set Theorem Without Summation?
- loli12
- · Replies 2 ·
Graduate Showing the Inclusion of Infimum and Supremum in the Closure of a Bounded Set
- cateater2000
- · Replies 5 ·
High School Solve 6th Grade Sequence: 1,5,13,25,41,61
- debrawallenger
- · Replies 6 ·
Graduate Finding eigenvalues of a spinor in 2D complex space
- Ed Quanta
- · Replies 2 ·
Undergrad Proving collinearity of intersections from three concurrent lines using vectors
- Karate Chop
- · Replies 1 ·
Undergrad Vector Division: Is It Possible?
- neutrino
- · Replies 3 ·
Graduate Is the product of all order-2 elements the identity in a finite abelian group?
- Nebula
- · Replies 10 ·
Undergrad Finding the right inverse of matrix (1 3 5; 2 4 6)
- Claire84
- · Replies 11 ·
Graduate Prove that Q under addition is not isomorphic to R+
- afirican
- · Replies 8 ·
Undergrad Prime generator vs primality test efficiency
- synergy
- · Replies 14 ·
Graduate Can a Semigroup with Finitely Many Elements and the Cancellation Law be a Group?
- T-O7
- · Replies 5 ·
Undergrad How Can We Determine Convergence of A^n * b in Linear Algebra?
- gogetagritz
- · Replies 2 ·
Graduate Can a set of units in a ring form a group under multiplication?
- dogma
- · Replies 3 ·
Graduate Odd order permutations are even permutations
- Redhead711
- · Replies 2 ·
Graduate Generators of Modular Prime Systems
- Chu
- · Replies 2 ·
Graduate Prove property of diophantine equation
- ascheras
- · Replies 3 ·
Graduate Is Dirac Notation Appropriate for Proving Hermitian Conjugates of Operators?
- natski
- · Replies 2 ·
Graduate Is an Odd Order Permutation Always an Even Permutation?
- Redhead711
- · Replies 3 ·
Undergrad Projection of the vector (2,2,1) on the plane
- gunnar
- · Replies 9 ·
Graduate Solve Recursion Equation: (n-1)*a[n+1] - n*a[n] + 10*n = 0
- galois427
- · Replies 2 ·
Undergrad An interesting matrix identity problem
- vsage
- · Replies 8 ·
Graduate Why Do Commuting Invertible Matrices Have a Unique Form?
- T-O7
- · Replies 7 ·
Graduate Finding eigenvalues for a spin 1/2 spinor eigenvector
- Ed Quanta
- · Replies 2 ·
Undergrad Can Ax=0 Be Inconsistent? Solving Linear Equations with a Zero Constant
- Tryingtolearn
- · Replies 2 ·
Undergrad Checking Solution for c1, c2, and c3=0
- gunnar
- · Replies 6 ·
Undergrad Are Even and Odd Functions Orthogonal?
- theFuture
- · Replies 2 ·
Undergrad Finding the Intersection Point of Two Lines in Vector Form
- ross
- · Replies 2 ·
Undergrad Evaluating polynomials of a matrix
- JasonRox
- · Replies 7 ·
Undergrad Finding primes given a condition
- galois427
- · Replies 2 ·
High School Explain vectors from begining to end
- ConfederateRaider
- · Replies 7 ·
Undergrad Finding the Inverse of Cubic Functions
- devious_
- · Replies 2 ·
Graduate Why do orthogonal matrices have a specific number of independent parameters?
- Ed Quanta
- · Replies 3 ·
Undergrad What Are Multi-Dimensional Vectors?
- bezgin
- · Replies 13 ·
High School Vector valued and scalar valued functions
- Odyssey
- · Replies 2 ·
Undergrad Finding formulas for entries of M^n using eigenvalues
- xenogizmo
- · Replies 2 ·
Undergrad Why does the dot product equal the magnitudes times cosine of the angle?
- bezgin
- · Replies 5 ·
High School Tension Vectors - Grade 12 Algeo
- lalota
- · Replies 8 ·
High School What does it mean if an equation is linear?
- Maxwell
- · Replies 3 ·
Graduate Trouble w/ Lemma: Nullity U Ignored in Finite Vector Space
- genxhis
- · Replies 3 ·
Graduate What is the Composition Calculation Method for External Direct Products?
- williamaholm
- · Replies 3 ·
Undergrad How Do Permutations Like (a, b)(b, c) Result in (a, b, c)?
- cmurphy
- · Replies 2 ·
Graduate Why do transpositions decompose permutations and why is order the LCM of cycle lengths?
- cmurphy
- · Replies 2 ·
Graduate Is SL(2,Z3) the Only Group with 24 Elements?
- ossito_the-diracian
- · Replies 2 ·
Graduate How many elements of order 5 are in S7?
- williamaholm
- · Replies 2 ·
Undergrad What are the range of values of k for the equation (k+1)x^2+4kx+9=0?
- Gughanath
- · Replies 34 ·
Undergrad What is the proof for triangle ABC with known sides and angle relationships?
- Blissfulpain
- · Replies 5 ·
Undergrad What Are Vector Subspaces in Linear Algebra?
- phy
- · Replies 2 ·
Undergrad How Does Number Theory Apply to Cryptography?
- poolwin2001
- · Replies 3 ·
Undergrad Congruences, Fermats Little Theorm
- Nebula
- · Replies 2 ·
Graduate Is Every Group with Self-Inverse Elements Abelian?
- hedlund
- · Replies 6 ·
Graduate Arithmetic-geometric mean inequality
- Ed Quanta
- · Replies 4 ·
Graduate Proving Induction Problem: P(x) is an Integer for all Natural Numbers n
- Yoss
- · Replies 7 ·
Undergrad What is the equation for a vector in R^n that satisfies a given condition?
- AronH
- · Replies 4 ·
Undergrad Can Ulam's Spiral Theory Be Enhanced with a Double Spiral Approach?
- qwantum_phlux
- · Replies 2 ·
Graduate Is There a Hidden Pattern in Exponentiation Operations on Three Natural Numbers?
- StatusX
- · Replies 8 ·
Graduate Prove Polarization Formula in Complex Vector Space
- HernanV
- · Replies 2 ·
Graduate Logical error in Byron & Fuller theorem 4.28
- galarant
- · Replies 2 ·
Undergrad Is this proof that subsets of linearly independent sets are linearly independent correct?
- Phymath
- · Replies 7 ·
Graduate Showing Two Groups are Isomorphic
- Oxymoron
- · Replies 32 ·
Graduate What Makes the Negative of a Dedekind Cut Not a Dedekind Cut?
- cateater2000
- · Replies 8 ·
Undergrad Interesting problem with possible solution
- StatusX
- · Replies 7 ·
Undergrad Basis for the intersection of two spans
- Try hard
- · Replies 2 ·
Undergrad Find a formula for the alternating series 1² - 3² + 5² - 7² +
- Parth Dave
- · Replies 19 ·
Undergrad What is the GCD of (a + b, a - b)?
- cmurphy
- · Replies 15 ·
Undergrad How Much Force Does a Rope Exert on a Car in This Scenario?
- Windwaker2004
- · Replies 2 ·
Graduate How Can a Polynomial's Relationship With Its Derivative Indicate Multiple Roots?
- IrrationalMind
- · Replies 9 ·
Undergrad Linear Supply Equation for a Commodity: Solving for Unknown Variables
- wmosley
- · Replies 2 ·
Undergrad Proof: x^n + 1 is Valid for Odd n".
- ascheras
- · Replies 6 ·
Graduate Frustrating step in a proof - basic abstract algebra
- Chu
- · Replies 2 ·
Undergrad Prime Numbers in Set S: Is 2*p>n?
- atsw
- · Replies 4 ·
Graduate Computing Distances: Evaluating Sums in Polynomials
- drago
- · Replies 3 ·
Undergrad Proving Subspace of Continuous Functions with Integral = 0
- theFuture
- · Replies 2 ·
High School Is -1 Considered a Prime Number in Mathematical Discussions?
- Sven Tingblad
- · Replies 13 ·
Undergrad Is the Prime Numbers Function f(n) = 3^(n)+2 Always Prime?
- Anzas
- · Replies 11 ·
High School Basic algebra of three-way arrays
- jcsd
- · Replies 12 ·
Undergrad What is the Equation for a Series of Numbers with a Repeating Pattern?
- Logic
- · Replies 2 ·
Graduate Trouble w/ Maximal Principle (Zorn's Lemma)
- genxhis
- · Replies 9 ·
Undergrad What is e and why does it show up as an exponent everywhere?
- shoryuken
- · Replies 21 ·
Graduate More algebraic geometry questions
- Hurkyl
- · Replies 43 ·
High School Solving for Recurring Numbers: Techniques and Applications
- FateMaster
- · Replies 6 ·
Graduate What is the Spectrum of the Ring of Continuous Functions Over Rn?
- Hurkyl
- · Replies 38 ·
Graduate Solving for Generators in Abelian Groups with Multiple Relations
- Nexus[Free-DC]
- · Replies 3 ·
Graduate How do I find the order of the symmetry group of a regular quindecagon?
- Try hard
- · Replies 2 ·
Undergrad Understanding Upper Triangular, Lower, and Diagonal Matrices
- JasonRox
- · Replies 3 ·
High School Who first introduced the terms ring and field in algebra?
- gvk
- · Replies 3 ·
Graduate Group theory exercise, page 14 problem 3.8
- pdelong
- · Replies 22 ·
Undergrad Calculating the Second Norm of a Matrix: Formula and Explanation
- niko2000
- · Replies 2 ·
Undergrad Does my proof that Av is in span of Au_1, ..., Au_k work?
- Phymath
- · Replies 3 ·
Graduate Proving Spanning Sets in Vector Spaces
- Oxymoron
- · Replies 15 ·
Undergrad Algorithm for automated matrix inversion
- radagast
- · Replies 8 ·
Graduate Cosets are either equal or disjoint
- Muzza
- · Replies 12 ·