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 Is there a way to differentiate between numbers
- epsi00
- · Replies 6 ·
Graduate When can you eliminate a node from a power system matrix?
- MitYeltu
- · Replies 2 ·
Graduate What is the operator between A A^ in A vec = A A^
- ManishR
- · Replies 5 ·
Graduate Why is the dimension of a projective variety defined the way it is?
- 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 Why is the dimension of sl(2,H) equal to 15 and sl(2,O) equal to 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 Why is the cartesian product of two groups also a group?
- 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 Why does Gaussian elimination work for 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 Can a linear mapping be non-bijective?
- Anonymous217
- · Replies 8 ·
Graduate How do symmetry groups differ between Euclidean and hyperbolic space?
- 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 Why does the inverse of a random matrix look 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 Three problems on k-th primes and coprime sets
- vmx200
- · Replies 4 ·
Graduate Why Is Abstract Algebra So Challenging to Visualize Compared to Calculus?
- epr2008
- · Replies 2 ·
Graduate Approximating the left singular vector of a very large matrix
- 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 How to simplify (a+b)^c without using square roots
- 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 If U union V is a subspace, must one be contained in the other?
- 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 Matrices with matrix elements nested infinitely
- 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 When is Z_m × Z_n isomorphic to Z_mn?
- 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 Find all positive pairs (k,l) where √k+√l=√(4+√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 Do eigenvectors change if I scale the matrix by a constant factor?
- 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 When are two algebras isomorphic to each other?
- 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 ·