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 Can a non-symmetric matrix be positive definite?
- Leo321
- · Replies 5 ·
Graduate Why does λ divide one of x, y, z in the equation x³ + y³ = z³?
- Brimley
- · Replies 2 ·
Undergrad Matrix of order supose 3*3 is in span of R3
- asad khan
- · Replies 2 ·
Undergrad Frequency of Greatest Integer quotients
- jleach
- · Replies 4 ·
Graduate What is the orbit of 1 in the permutation group G?
- mathplease
- · Replies 4 ·
Undergrad Fortran Code for Solving Linear System w/ Least Square Method
- passionfly
- · Replies 1 ·
Undergrad Matrices with all zero eigenvalues
- Leo321
- · Replies 5 ·
Undergrad What Does F Represent in Group Theory?
- MikeDietrich
- · Replies 2 ·
High School Set of linear equations and simultaneous linear equations
- nobahar
- · Replies 4 ·
Undergrad Solve Equation: 3^x-2^y=1 - Positive Integer Solutions
- 511201
- · Replies 1 ·
Undergrad Properties of systems of linear equations
- hholzer
- · Replies 2 ·
Undergrad How to find detA if A is 4X4 matrix
- ranoo
- · Replies 7 ·
Graduate Solutions of an equation in a PID
- ihggin
- · Replies 1 ·
Graduate Finite Subsets of N: Proving Countability
- kingtaf
- · Replies 3 ·
Undergrad Can S5 contain a subgroup of order 7?
- eileen6a
- · Replies 3 ·
Graduate How do you define congruence modulo a quadratic integer in Q[sqrt(-d)]?
- Brimley
- · Replies 23 ·
Undergrad What vector space contains the span of cos x and sin x?
- ask_LXXXVI
- · Replies 8 ·
Graduate Proof involving surjective/onto and image/preimage of sets
- mathmajor2013
- · Replies 1 ·
Graduate A group of finite order can be infinitely large?
- jessicaw
- · Replies 5 ·
Undergrad What is the relationship between a matrix and its transpose in linear algebra?
- matqkks
- · Replies 1 ·
Graduate Finite field is algebraically closed under constraint?
- gepolv
- · Replies 1 ·
Graduate Prime Factorial Proof: Existence of a Prime Between n and n!
- kingtaf
- · Replies 7 ·
Graduate Showing Gal(E/Q) is Isomorphic to Z4
- algekkk
- · Replies 4 ·
Graduate Simple Rings: Commutativity and Identity
- jem05
- · Replies 9 ·
Graduate Prove Symmetry Group of Regular Polygon Has 1 & 2 Dim Irreducible Reps
- wdlang
- · Replies 4 ·
Graduate Lie Algebra differentiable manifold
- Hymne
- · Replies 1 ·
Undergrad What really is a group in abstract algebra?
- Grouphelp
- · Replies 6 ·
Graduate How to prove the order of x,y in this case
- ranoo
- · Replies 2 ·
Graduate Does positive-definite order imply determinant order?
- hadron23
- · Replies 2 ·
Undergrad Why is every linear transformation from Rn to Rm a matrix transformation?
- finkeljo
- · Replies 2 ·
Undergrad Why Do Irrational Numbers Exist?
- timjones007
- · Replies 73 ·
Undergrad How Does Squaring a Matrix Affect Its Determinant?
- chapone
- · Replies 9 ·
Graduate How does exp relate a Lie group to its Lie algebra?
- geodesic42
- · Replies 12 ·
Undergrad Why linear independence alone proves a basis in finite-dimensional spaces
- Bachelier
- · Replies 9 ·
Graduate Prime values of integer polynomials
- VKint
- · Replies 3 ·
Undergrad Factoring N=pq when only the last digits of p and q are known
- epsi00
- · Replies 1 ·
Graduate Why aren't the integers of Q[√−5] a UFD?
- Brimley
- · Replies 9 ·
Graduate What is the Difference Between Factor Space and Equivalence Classes?
- commutator
- · Replies 1 ·
Graduate Do force and displacement exist in different vector spaces with multiple duals?
- Rasalhague
- · Replies 9 ·
Undergrad How to prove that a set is a group? related difficult/challenge quesyion.
- jessicaw
- · Replies 6 ·
Graduate Playing with Small Natural Numbers Network
- networks
- · Replies 3 ·
Graduate Derivative of a function with matrices
- Leo321
- · Replies 10 ·
Graduate Proving Congruence Classes in Q[√-3] with Prime Divisor λ
- Brimley
- · Replies 9 ·
Graduate Is there a probabilistic approach to number theory conjectures?
- arivero
- · Replies 8 ·
High School Adding 3.6, 4.4, and 5.8: Keeping the Sum 13.8
- Frank66
- · Replies 1 ·
Undergrad Projecting a vector onto a plane problem
- dcl
- · Replies 4 ·
Undergrad Tensor Analysis and Linear Algebra, what's the difference
- mahinda
- · Replies 2 ·
Graduate Existence of polynomial in R^2
- ihggin
- · Replies 1 ·
Undergrad I've never felt dumber: me understand Fibonacci identity.
- moe darklight
- · Replies 2 ·
Graduate Why C([0,1]) and C_{o} are not isomorphic?
- pp007
- · Replies 12 ·
Graduate Understanding Associates and Norms in Algebraic Integers
- Brimley
- · Replies 20 ·
Graduate Show one ring not isomorphic to the other
- chycachrrycol
- · Replies 1 ·
Graduate All Eigenvalues Lie on the Unit Circle
- ali987
- · Replies 5 ·
Undergrad Finding the General Term for Perfect Squares
- sachinism
- · Replies 2 ·
Undergrad Finding coefficients to express arbitrary vectors as linear combinations
- freshlikeuhh
- · Replies 1 ·
Graduate Find and Test Primes using the Chinese Remainder Theorem and Binary Search
- John Creighto
- · Replies 2 ·
Graduate Why do Wikipedia and Mathworld define interior product differently?
- Rasalhague
- · Replies 3 ·
Graduate Proof of Goldbach,Polignac,Legendre,Sophie Germain conjecture.pdf
- choe
- · Replies 2 ·
Undergrad Why is 3AB+P Set to Zero in Cardan's Cubic Equation?
- Physicsissuef
- · Replies 3 ·
High School How do I draw the vector A-3B+C in relation to like vectors?
- tatiana
- · Replies 1 ·
Undergrad How Do These Linear Algebra Concepts Align with Definitions and Vector Spaces?
- freshlikeuhh
- · Replies 4 ·
Undergrad How does this number system conversion algorithm work?
- 0131313131313
- · Replies 5 ·
Graduate Irreducible Representations and Class
- sineontheline
- · Replies 1 ·
High School What is the Best Way to Solve This Algebraic Brain Teaser?
- cchave3
- · Replies 3 ·
Graduate Perron formula for matrix powers
- bpet
- · Replies 2 ·
Graduate Nearest block diagonal matrix to a given matrix
- cpp6f
- · Replies 1 ·
Graduate A More Abstract Definition of an Inner Product Space?
- Laton
- · Replies 17 ·
Graduate Prove Minkowski Inequality using Cauchy-Schwartz Inequality
- Rederick
- · Replies 3 ·
Graduate Eigen-vectors/values under row flipping
- onako
- · Replies 6 ·
Graduate Is it possible to simplify the RH problem?
- PeterJ
- · Replies 15 ·
Graduate Eisenstein's Irreducibility Criterion
- roam
- · Replies 10 ·
Undergrad How Do You Prove This Linear Transformation?
- ichigo444
- · Replies 1 ·
Graduate How to Find Subgroups of Index 2?
- Newtime
- · Replies 1 ·
Graduate Infinitely many primes in Q[Sqrt(d)]
- Brimley
- · Replies 9 ·
Graduate Pythagorean Theorem: Relationships in Euclidean Space
- lavinia
- · Replies 9 ·
Undergrad Linear Combination: Can 1 0 1 0 be Combined?
- ichigo444
- · Replies 2 ·
High School How do you multiply permutations?
- JessBrown
- · Replies 10 ·
Graduate Is There a Simpler Way to Construct a Linear Functional Given a Linear Operator?
- ihggin
- · Replies 3 ·
Graduate A very challenging question regarding in basic algebra group theory?
- jessicaw
- · Replies 2 ·
Undergrad Invertability as a substitute for looking for linear independence
- ichigo444
- · Replies 3 ·
Undergrad Linearly Dependent Sets: Answers to Your Questions
- ichigo444
- · Replies 3 ·
Graduate Normed division algebras: geometrical limitation
- BruceG
- · Replies 2 ·
Undergrad Largest determinant of a 3×3 matrix with 0/1 entries
- neden
- · Replies 3 ·
Undergrad How to OLS several lines at once?
- phrozenfearz
- · Replies 2 ·
Undergrad Proof that general solutions equal particular plus homogeneous solutions
- miglo
- · Replies 4 ·
Graduate Find all roots of e^((π z)²) = i with |z| < 1
- palaszz
- · Replies 2 ·
Undergrad Software that outputs a general polynomial formula for a finite series
- Helicobacter
- · Replies 6 ·
Graduate Nonabelian group of order pq has a nonnormal subgroup
- hermanni
- · Replies 3 ·
Graduate Are upper and lower triangular matrix groups isomorphic?
- symbol0
- · Replies 4 ·
Undergrad Twin Prime Sieve: Calculate All Twins Less Than N - Todd's Version
- toddkuen
- · Replies 2 ·
Undergrad Linear algebra glossary
- Greg Bernhardt
- · Replies 4 ·
Graduate Permutations of basis elements in Clifford Algebras
- mnb96
- · Replies 4 ·
Undergrad Calculating powers of matrices
- rdajunior95
- · Replies 8 ·
Undergrad Can you arrange numbers 1 to 2010 to form a prime?
- sachinism
- · Replies 11 ·
Graduate "Does Finite Group Contain Subgroup of Index 2 if Element has Order 2?
- ForMyThunder
- · Replies 3 ·
Graduate Quaternions and associated manifolds
- mnb96
- · Replies 10 ·
Undergrad Understanding Matrix Ranks and Null Space: A Comprehensive Guide
- rdajunior95
- · Replies 4 ·
Undergrad Linearizing Equations: Finding Square Root of x from Plotted Data
- Reedles
- · Replies 1 ·
Graduate Meaning of colon in group theory, if not subgroup index?
- AgentBased
- · Replies 2 ·
Undergrad Is there a way to differentiate between numbers
- epsi00
- · Replies 6 ·