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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Graduate Why Do 'Forbidden Zones' Exist in Goldbach Partitions?
- Paul Mackenzie
- · Replies 1 ·
Graduate Erdos conjecture on arithmetic progression
- jinchuriki300
- · Replies 3 ·
Graduate Gauss-Seidl, Gauss-Southwell, Jacobi
- onako
- · Replies 6 ·
Undergrad Why is the determinant zero for coplanar vectors?
- BlueRope
- · Replies 3 ·
Undergrad Why does the half of the absolute value of a matrix formed with its coordinates give
- BlueRope
- · Replies 3 ·
Undergrad Confusion about linear equations
- bentley4
- · Replies 2 ·
Graduate Is the direct sum of cyclic p-groups a cyclic group?
- lugita15
- · Replies 6 ·
Graduate Finiteness of a converging random number series
- Loren Booda
- · Replies 3 ·
Proving Abelianity in Groups with $g^{2} = 1$: A Simple Proof
- GreenGoblin
- · Replies 6 ·
Find subgroups of a group for a given order
- buckeye1973
- · Replies 5 ·
Graduate Enhance Your Calculus Skills with Recommended Books for Riemann Zeta Function
- sparsh12
- · Replies 3 ·
Graduate Series of exponential prime reciprocals
- YvesSch
- · Replies 1 ·
Graduate Linear transformations as tensor.
- The1337gamer
- · Replies 4 ·
Graduate Lie group actions and submanifolds
- mnb96
- · Replies 7 ·
Graduate Minimal parameterization of 2x2 real matrices with unit determinant
- ivl
- · Replies 6 ·
Graduate Proving Cyclic Decompositions: Let T be a Linear Operator on V
- Bhatia
- · Replies 4 ·
Which of U, W and V are vector subspaces?
- Yankel
- · Replies 1 ·
Symmetery of a finite sequence of numbers
- Paul Mackenzie
- · Replies 9 ·
Undergrad How do elementary row operations correspond to matrix products?
- foreverdream
- · Replies 7 ·
Undergrad A system of equations with more unknowns than equations
- Liquid7800
- · Replies 14 ·
Undergrad How to compute the rotation matrix
- Renoald
- · Replies 6 ·
What Does Reducibility Tell Us About the Nature of Irreducible Elements?
- Bingk1
- · Replies 1 ·
High School How do you find the coordinate of a vector with the unit vector?
- BlueRope
- · Replies 1 ·
Undergrad How to Find the Smallest Integer with Specific Remainders?
- CalculusSandwich
- · Replies 2 ·
Graduate Sub-quotients and Gaussian Integer rings
- Feryll
- · Replies 2 ·
Is a Mixture of Three Chemical Solutions a Group?
- poissonspot
- · Replies 2 ·
Graduate Computing Integral Closure of Rings - Brian's Query
- brian_m.
- · Replies 20 ·
Graduate Why is SL(2,Z) the Outer-Automorphism Group of Z^2?
- electroweak
- · Replies 2 ·
Graduate The fastest algorithm for linear equations
- Ronankeating
- · Replies 8 ·
Graduate Calculating Digits of Pi in Base-16 Using the Wolfram Formula
- Redbelly98
- · Replies 2 ·
Graduate Does AB=I imply BA=I for square matrices over all fields?
- asmani
- · Replies 13 ·
Solution to complicated systems of three variables using matrices
- Hyunqul
- · Replies 3 ·
Graduate Does this approach using zeta function partial sums connect to the Riemann hypothesis?
- sparsh12
- · Replies 2 ·
Graduate Estimating eigenvalue of perturbed matrix
- julian
- · Replies 7 ·
How to Express Vectors of a Regular Hexagon in Terms of Given Components?
- anemone
- · Replies 3 ·
Undergrad How do you count unique elements when multiplying integers from 1 to 1000?
- epsi00
- · Replies 18 ·
Graduate Test Lie Group: Show it Forms a Lie Group
- mnb96
- · Replies 8 ·
Undergrad Linear Algebra Symmetric Matrix Set Question
- Gamble93
- · Replies 6 ·
Lagrange thm: orbits as equivalence classes and cosets
- buckeye1973
- · Replies 4 ·
Graduate Splitting field of irreducible polynomial
- joeblow
- · Replies 4 ·
Graduate Elliott-Halberstam conjecture and the Riemann Hypothesis
- flouran
- · Replies 1 ·
Graduate Primality Criterion for F_n(132)
- pedja
- · Replies 2 ·
Graduate Ker A Subset Ker B: Finding a Reference
- agnes.gorge
- · Replies 2 ·
Graduate Distribution of power congruence classes
- dec178
- · Replies 3 ·
Graduate Approximation for -1 exponent expression
- PhyPsy
- · Replies 1 ·
Undergrad What is the significance of adding a constant in augmented coefficient vectors?
- Square1
- · Replies 2 ·
Undergrad Change Basis: Reasons to Write Vector in Rn Other Than Standard Basis
- matqkks
- · Replies 5 ·
Graduate Proving the center of a set is closed under a binary operation
- taylor81792
- · Replies 5 ·
Undergrad Is Theta Commonly Used to Represent the Zero Vector in Linear Algebra?
- TheTangent
- · Replies 2 ·
Undergrad Generating full sequence with complex numbers.
- smithnya
- · Replies 3 ·
Undergrad Clear up some cross product confusion for me
- 2slowtogofast
- · Replies 7 ·
Graduate General Linear Group of a Vector Space
- Master J
- · Replies 11 ·
High School Complex Numbers - Forms and Parts
- dotNet
- · Replies 5 ·
Undergrad A few questions on abelian and normal subgroups
- blahblah8724
- · Replies 4 ·
Graduate Is Every Group of Order 15 Cyclic?
- blahblah8724
- · Replies 2 ·
Undergrad What is the mathematical topic related to finding gaps in a sequential list?
- rtal
- · Replies 2 ·
Graduate Mathematically Precise Definition of Unit
- marschmellow
- · Replies 2 ·
Undergrad How to show an isomorphism between groups?
- blahblah8724
- · Replies 1 ·
More questions on psd and pd of matrices
- insixyears
- · Replies 1 ·
Undergrad How Do CAS and Programmable Calculators Evaluate Derivatives?
- matqkks
- · Replies 4 ·
Undergrad (Algebra) Isometries on the complex plane
- praecox
- · Replies 3 ·
Graduate Algebraic Extensions, vector spaces
- joeblow
- · Replies 4 ·
Undergrad Can we still diagnolize a matrix if its eigenvectors matrix is singular?
- AdrianZ
- · Replies 1 ·
Graduate Polynomial Rings (Units and Zero divisors)
- facepalmer
- · Replies 4 ·
Graduate Abstract algebra question (math olympiad)
- AdrianZ
- · Replies 8 ·
Undergrad How to Normalize a simulated dataset to fit the actual dataset?
- jothisadhana
- · Replies 1 ·
Graduate Does the sum of primes divided by sample size squared converge?
- neopolitan
- · Replies 12 ·
If A is nnd, then show that I + A is pd
- insixyears
- · Replies 3 ·
Graduate Question on Remark in Axler's Linear Algebra
- Group_Complex
- · Replies 2 ·
Graduate Linear Algebra Technique for Identifying Impactful Elements in a System
- mhdella
- · Replies 4 ·
Graduate Proof of commutative property in exponential matrices using power series
- Paalfaal
- · Replies 5 ·
Undergrad Why Use Matrices for Linear Transformations?
- matqkks
- · Replies 4 ·
Graduate Explicitly describing the singular locus from a finite set of polynomials
- math2012
- · Replies 1 ·
Graduate What are some other ways to solve the equation x^3+y^3+z^3+t^3=1999?
- Mathguy15
- · Replies 24 ·
Graduate Can graph spectrums be derived from incident matrices?
- 1Truthseeker
- · Replies 1 ·
Graduate Infinite-dimensional vector space question
- Master J
- · Replies 10 ·
Undergrad Modern Algebra: Permutations and Cycles
- Phoenixtears
- · Replies 3 ·
Graduate Discovering Ramsey Primes Under 1 Million
- ramsey2879
- · Replies 8 ·
Degrees of a Field Extension: How to Find Basis and Degree of a Field Extension
- shmounal
- · Replies 4 ·
Undergrad When do you need all vector space axioms to prove one?
- brinethery
- · Replies 2 ·
Clearing fractions with row operations.
- skoker
- · Replies 2 ·
Graduate Basic Symmetric Group Representation Question
- zer0skill
- · Replies 2 ·
Graduate Counting function for powers of primes
- robnybod
- · Replies 3 ·
Graduate Understanding Young Diagrams from Physics 751: Solving Eqn 4.14
- Hymne
- · Replies 1 ·
Graduate When is ab divides n if and only if a and b divide n?
- blastoise
- · Replies 3 ·
Undergrad Can the matrix be differentiated with respect to a vector
- sainistar
- · Replies 3 ·
Graduate Direct product of faithful representations into direct sum
- rkrsnan
- · Replies 5 ·
Graduate Multiple sets of linearly independent vectors
- SvS
- · Replies 5 ·
Graduate Finding Positive Integers for Irrational Number Interval
- TJK
- · Replies 1 ·
Graduate Are There Criteria for Proving Co-Primes of Vectors?
- phynewb
- · Replies 5 ·
Undergrad Finding the distance between a point and a plane using dot products
- haackeDc
- · Replies 3 ·
Graduate How many elements of order 50 are there in this group?
- feyomi
- · Replies 1 ·
Undergrad Are There Two Types of Irrational Numbers Based on Decimal Expansion Patterns?
- lavinia
- · Replies 7 ·
Undergrad Finding all primes by counting odd composite numbers
- idiom
- · Replies 33 ·
Find LU-Factorization of A with 1's Along Main Diagonal of L
- skoker
- · Replies 3 ·
Graduate Find rotation to align two vectors by rotation about two arbitrary axes
- Johan_L
- · Replies 7 ·
Graduate What U(n) or SU(n) or their multiplication isomorphic with SO(8)?
- thanhsonsply
- · Replies 5 ·
Undergrad What Is the Span of a List of Vectors in Linear Algebra?
- Math Amateur
- · Replies 7 ·
Undergrad Does ef|g Imply e and f Are Both Factors of g?
- blastoise
- · Replies 1 ·
Graduate Prime Ideals of direct sum of Z and Z
- joeblow
- · Replies 6 ·