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 Understanding the Dimension of a Variety in Algebraic Geometry
- Newtime
- · Replies 5 ·
Graduate Which Interpolation Method for Complex Numbers Is Most Accurate?
- sansty
- · Replies 2 ·
Graduate Sum of 2 normal numbers still normal?
- Liji.h
- · Replies 8 ·
Undergrad Relationship of an invertible matrix in spanning set and linear independence
- ichigo444
- · Replies 1 ·
Graduate Dimension of SL(2,H), SL(2,R), SL(2,C), SL(2,O) - Proving 15 & 45
- BruceG
- · Replies 2 ·
Graduate Linear Independence: Polynomial Example
- freshlikeuhh
- · Replies 3 ·
Graduate How to Calculate Norms of Field Extensions in Galois Theory
- Ypsilon IV
- · Replies 1 ·
Undergrad Finding eigenvalues and eigenspaces with only this info
- Dist
- · Replies 7 ·
Graduate What Is the Structure of Left Ideals in Simple Rings?
- gerben
- · Replies 3 ·
Graduate Understanding the Direct Product of Groups: Applying Group Theory Axioms
- Monkeyfry180
- · Replies 6 ·
How Do Community Members Feel About Our Research?
- Monkeyfry180
- · Replies 3 ·
Undergrad A thread for learning RSA algorithm
- aravindsubramanian
- · Replies 11 ·
High School How Can You Verify the Definitions of Homomorphism and Subgroup?
- Monkeyfry180
- · Replies 1 ·
The Power of Group Theory to Success
- Monkeyfry180
- · Replies 1 ·
Graduate Arithmetic progression of prime numbers
- sachinism
- · Replies 2 ·
Graduate How Do Unit Quaternions Relate to Spheres and Even-Grade Subalgebras?
- mnb96
- · Replies 12 ·
Graduate Applying the Triple Product in n-dimension
- rachbomb
- · Replies 2 ·
Undergrad Is W a Subspace of V^3 Given These Vectors?
- fishingspree2
- · Replies 4 ·
Undergrad Can Each Vector Be Made Orthonormal Directly in Gram-Schmidt Process?
- gbartel
- · Replies 2 ·
Undergrad What is the connection between row reduction and matrix inversion?
- Wicketer
- · Replies 2 ·
Graduate Proof of the Inner Automorphism Theorem for Endomorphism Algebras
- losiu99
- · Replies 2 ·
How many prime numbers have we actually solved
- evolvehuman
- · Replies 8 ·
Graduate Semi-Positive Definiteness of Product of Symmetric Matrices
- iamhappy
- · Replies 3 ·
Graduate Isomorphism between Order Ideals and Distributive Lattices
- I<3Gauss
- · Replies 4 ·
Undergrad Linear Mappings: Examining Bijectivity
- Anonymous217
- · Replies 8 ·
Graduate Symmetry Groups in Euclidean and Hyperbolic Spaces: A Comparison
- mnb96
- · Replies 14 ·
Graduate Proof of I = R if I Contains a Unit in Commutative Ring
- roam
- · Replies 21 ·
Graduate Rational numbers and periodic decimal expansions
- anb
- · Replies 1 ·
High School What Programming Language Can Handle 30-Digit Integers and Matrices for Free?
- approx
- · Replies 8 ·
Undergrad Can a Group of Prime Order Be Proven Cyclic Using Only Basic Group Theory?
- kntsy
- · Replies 1 ·
Graduate How do I estimate complex eigenvalues?
- photis
- · Replies 4 ·
Graduate How can the prime number theorem be used to understand this proof?
- ~Death~
- · Replies 1 ·
Graduate Curious for some insight: inverse of a random matrix is really ordered
- mikeph
- · Replies 6 ·
Graduate Does AB Equal G When |A| + |B| Exceeds |G|?
- joeblow
- · Replies 5 ·
Undergrad Beating an old horse .(9) question
- CjStaal
- · Replies 29 ·
Undergrad Is finding the intersection of two lines in R4 using the same method as in R3?
- theRukus
- · Replies 2 ·
Undergrad K-th Prime Proofs & Co-Prime Numbers
- vmx200
- · Replies 4 ·
Graduate Why Is Abstract Algebra So Challenging to Visualize Compared to Calculus?
- epr2008
- · Replies 2 ·
Graduate Efficient LSV Approximation for Large Matrices | Conjugate Gradient Method Guide
- onako
- · Replies 2 ·
Undergrad How can I solve simultaneous trigonometric equations involving cosine and sine?
- Joe_I_Am
- · Replies 2 ·
Undergrad If a mxn matrix A, m>=n has a reduced QR-decomposition
- Vikt0r
- · Replies 4 ·
Undergrad Lowest Odd Multiple of 99999 > 99999
- sachinism
- · Replies 2 ·
Graduate Pleas, suggest a advanced+serious Number Theory book
- whitehead k
- · Replies 5 ·
Graduate Squared norm in Clifford Algebras
- mnb96
- · Replies 9 ·
Undergrad Can the Dot Product of Two Unit Vectors Ever Be Less Than 1?
- onako
- · Replies 2 ·
Undergrad Importance of a vector space containing the origin.
- MurdocJensen
- · Replies 5 ·
Graduate General Solution to a Singular System (or no solution)
- MurdocJensen
- · Replies 3 ·
Graduate Manipulating 2nd Order Tensor Expression: Isolating Q
- afallingbomb
- · Replies 6 ·
Undergrad Is Using \leq for Subgroup Notation Incorrect?
- kntsy
- · Replies 4 ·
Graduate Which Clifford Algebras Admit Multiplicative Inverses?
- mnb96
- · Replies 1 ·
Undergrad Can Unique Arrangements of Two Primes Generate All Even Numbers?
- toddkuen
- · Replies 16 ·
High School Simplify (a+b)^c | No Squareroot Needed
- GlobalDuty
- · Replies 3 ·
Graduate Is the Continuum of Decimals Larger than the Set of Natural Numbers?
- Hippasos
- · Replies 5 ·
Graduate Groups of prime order are cyclic. (without Lagrange?)
- TwilightTulip
- · Replies 2 ·
Undergrad What is the Determinant and Why Does It Matter in Linear Algebra?
- Sculptured
- · Replies 23 ·
Undergrad Concept of Matrix Multiplication
- abiyo
- · Replies 7 ·
Graduate Proving Inclusion of Vector Subspaces in W: A Scientific Approach
- Oster
- · Replies 4 ·
High School Something interesting concerning parity
- sEsposito
- · Replies 4 ·
High School Why is anything raised to the power zero, one?
- sshzp4
- · Replies 15 ·
Graduate A problem in understanding distributions exercise
- Goldbeetle
- · Replies 3 ·
Graduate Is R^2 a Field with Component Wise Operations?
- quasar987
- · Replies 4 ·
Undergrad Calculating Orbit Velocity Around a Star
- Chetic
- · Replies 2 ·
Graduate Any body ever fully diagonalize a 200,000 hermitian matrix?
- wdlang
- · Replies 13 ·
Graduate Group automorphism not a subgroup?
- wheezyg
- · Replies 2 ·
Undergrad Square an inequality if both sides are positive
- zorro
- · Replies 4 ·
Undergrad Prove Linear Independence of Vector Sums
- canephalanx
- · Replies 8 ·
Graduate Is There a Single-Variable Solution to This Diophantine Equation?
- danieldf
- · Replies 4 ·
Undergrad How do you get rref with a variable in the last column?
- OFFLINEX
- · Replies 1 ·
Graduate Silly question about matrices with matrix elements
- Monocles
- · Replies 7 ·
Undergrad Permutation as a Product of Transposition
- liger123
- · Replies 2 ·
Graduate Uses of the Word "Form" in Mathematics
- Rasalhague
- · Replies 12 ·
Graduate Wedge/cross products and associativity
- Rasalhague
- · Replies 2 ·
Graduate Need Help in Direct Product and Quotient (factor) Group
- Kenji Liew
- · Replies 1 ·
Graduate Can Linear Combinations of Primes Model Unique Solutions in Modular Arithmetic?
- John Creighto
- · Replies 7 ·
Undergrad What is the sum of the series nCr . 2r?
- cgchayan
- · Replies 3 ·
Sum of Squares: Get the Answers You Need
- sillokone
- · Replies 1 ·
Undergrad Relation between similarity of geometry and similar matrix
- navigator
- · Replies 1 ·
Graduate Proofs for Two Sets of Questions
- TheMathsDude
- · Replies 6 ·
Graduate What is the Equation for Flat-Out Annoying X?
- iansparkman
- · Replies 5 ·
Graduate Field of Fractions: Proof it is a Field
- beetle2
- · Replies 4 ·
Graduate Terminology: free algebra with binary op, constant.
- Skolem
- · Replies 2 ·
Graduate Maximizing Pairs (k,l) in R^+: k+l+2\sqrt{kl}=4+\sqrt{7}
- Foamy
- · Replies 3 ·
Graduate Is Part (ii) of This Proposition Incorrect?
- lauratyso11n
- · Replies 12 ·
Graduate Why Do I Get Three Kronecker Deltas Instead of One in Tensor Summation?
- bremvil
- · Replies 6 ·
Graduate Is the Lie Product Always Unique in Vector Spaces?
- Rasalhague
- · Replies 3 ·
Graduate Irreducible Polynomial (or not?)
- danieldf
- · Replies 2 ·
Undergrad What Does i^i Really Mean in Complex Numbers?
- trevdna
- · Replies 6 ·
Graduate Equivalence classes of Cauchy sequences
- Fredrik
- · Replies 10 ·
Graduate Does this matrix come up anywhere?
- YaroslavVB
- · Replies 2 ·
Graduate Proving Hom(Q/Z, Q/Z) is isomorphic to \hat{Z}
- mebassett
- · Replies 10 ·
High School Is my equation rearrangement correct?
- Bugsy23
- · Replies 1 ·
Graduate Optimizing Eigenvector Computations for Large Matrices
- onako
- · Replies 5 ·
Graduate Quaternions in Clifford algebras
- mnb96
- · Replies 11 ·
Graduate Cancellative set in a semiring that is not multiplicatively closed
- icantadd
- · Replies 3 ·
Graduate Algebra Isomorphisms: Definition & Examples
- mnb96
- · Replies 5 ·
Graduate Complex numbers and hamilton quaternions generate [tex]M_{2}(C)[/tex]
- antonio85
- · Replies 1 ·
Undergrad Relation of a Matrix and a System of Equations Question
- Liquid7800
- · Replies 4 ·
Graduate Prove gcd(m,n)=1 implies gcd(2m+n,2n)=1 (n odd)
- Skolem
- · Replies 1 ·
Undergrad Is (2^58+1)/5 a Prime or Composite Number?
- sachinism
- · Replies 10 ·
High School Discover the Next Number in a Series: Infinite Contiguous Pairs Revealed!
- Loren Booda
- · Replies 2 ·