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 Matrix representation of a group
- VINAYBAR
- · Replies 1 ·
High School Why does the equation ((x+1)(x-1))/(x-1)=3 give x=1 and x=2?
- calebhoilday
- · Replies 23 ·
High School Does this reasoning ever reach infinity? 0<1<2<3<4<5
- Hippasos
- · Replies 30 ·
Graduate Orthogonal Complement to the Kernel of a Linear Transformation
- Kreizhn
- · Replies 3 ·
Undergrad How to know whether the least squares approximation exitsts.
- darthxepher
- · Replies 1 ·
Undergrad Is the trivial solution a unique solution?
- darthxepher
- · Replies 4 ·
Graduate Homomorphisms as structure-preserving maps
- Fredrik
- · Replies 52 ·
Graduate How Does the Circle Group Influence Linear Transformations in a Sin-Cos Basis?
- laohu
- · Replies 6 ·
Undergrad Prove if a belongs R, then (a^2)^1/2= |a|?
- hugo28
- · Replies 3 ·
Graduate Mathematica: Eigenvalues for a large symbolic matrix
- Scheherzaade
- · Replies 3 ·
Undergrad Orientating objects to align with a specific axis
- Adder_Noir
- · Replies 1 ·
Graduate Space of continuous functions C[a,b]
- ninty
- · Replies 4 ·
Graduate A stupid question on norm and trace of fields
- sidm
- · Replies 1 ·
Graduate Proving x³ = y² – 15 has only two positive integer solutions
- BenVitale
- · Replies 1 ·
Graduate Abelian groups of order 20 and 200 up to isomorphism
- nalkapo
- · Replies 14 ·
Graduate Proving a Schur product matrix is nonsingular
- monguss
- · Replies 1 ·
Graduate How is a non-quadratic matrix singular?
- divB
- · Replies 18 ·
High School Why is the factorial of 0 equal to 1?
- jobsism
- · Replies 17 ·
Graduate Solutions to equations in the padic integers (rationals)
- sidm
- · Replies 8 ·
Graduate Infinite-dimensional vector spaces and their bases
- Buri
- · Replies 21 ·
Graduate Isomorphism of Hom_K(V,K) and Hom_K(V⊗V,K)
- antonio85
- · Replies 1 ·
Graduate Every nonzero vector space can be viewed as a space of functions
- Buri
- · Replies 1 ·
Graduate Spaces of continuous functions and Wronskians
- TaliskerBA
- · Replies 7 ·
Undergrad Why does commuting matrices have same eigenvectors?
- netheril96
- · Replies 3 ·
Graduate How to find vector coordinates in non-orthogonal systems?
- mnb96
- · Replies 13 ·
Graduate Sum over primes asymtotics
- zetafunction
- · Replies 5 ·
High School Elaboration on matrix operations.
- Shawn Garsed
- · Replies 14 ·
Graduate Conjecture about p! mod p² for primes
- numbthenoob
- · Replies 6 ·
Graduate How Can Optimal Bounds for Sum of Reciprocals Between Two Numbers Be Determined?
- hudson
- · Replies 3 ·
Graduate Is the Goldbach Conjecture part of a larger pattern?
- raycb
- · Replies 1 ·
Graduate Is a Cayley Table a Reliable Indicator of a Finite Set Being a Group?
- Bleys
- · Replies 1 ·
Graduate Is the Proof for Rank(T) = Rank(L_A) Correct?
- Buri
- · Replies 7 ·
Graduate Why Is There an Isomorphism on Sets If They Lack Algebraic Structure?
- kntsy
- · Replies 1 ·
Graduate How to Prove the Limit of a Logarithmic Function Ratio?
- jillna
- · Replies 1 ·
Graduate Hensel's lemma (Understanding it's Proof)
- sidm
- · Replies 2 ·
Graduate Division algorithm in A[x] (A NOT a field)
- sidm
- · Replies 2 ·
Graduate Is pi harder to compute than e in number theory?
- Newtime
- · Replies 9 ·
High School Rational Numbers: Is Any Whole Number a Rational?
- Justin Kirk
- · Replies 2 ·
Graduate Is the Twin Prime Conjecture Finally Proven? A Scientist's Perspective
- MrAwojobi
- · Replies 4 ·
Graduate When products of 4×4 reflection matrices avoid eigenvalue 1?
- zpconn
- · Replies 1 ·
Graduate What Matrix is This? References for Structured Matrix
- patiobarbecue
- · Replies 1 ·
Undergrad Determinants By Row Reduction/Row Echelon Form
- Pi-Bond
- · Replies 2 ·
Graduate Can a New Formula Factorize Large Prime Products in a Single Step?
- smslca
- · Replies 4 ·
Undergrad Anyone know how to solve a quintic or quartic?
- 13habelbrea
- · Replies 3 ·
Graduate Do I Understand Parametric Equations for Lines and Planes Correctly?
- sponsoredwalk
- · Replies 2 ·
Graduate Quadratic forms with p-adic coefficient
- antonio85
- · Replies 1 ·
Graduate Is k[x²,x³] a Dedekind domain? Verifying Noetherian and dimension 1?
- sidm
- · Replies 3 ·
Graduate Sequence of integers and arithmetic progressions
- hudson
- · Replies 2 ·
Undergrad Is a Matrix Invertible in Modular Arithmetic if det(A) and n are Coprime?
- nahuel_pelado
- · Replies 2 ·
Undergrad Understand Vectors: Math Made Simple
- fend
- · Replies 8 ·
Graduate Partial fractions with negative powers of z
- divB
- · Replies 2 ·
Graduate Understanding Tensor Products: From Dyads to Triads and Beyond
- Noxide
- · Replies 1 ·
High School Integral solution to pi numeric result
- Danimel
- · Replies 7 ·
Graduate Solving Rational Dependence in Vector Spaces
- bndnchrs
- · Replies 6 ·
High School What is the concrete meaning of the imaginary number i in math?
- Raddakar
- · Replies 6 ·
Graduate Why is the action of SU(n) on U(n)/O(n) transitive?
- quasar987
- · Replies 4 ·
Graduate Is NH Always a Normal Subgroup of G When N and H Are Normal Subgroups?
- Bleys
- · Replies 2 ·
Graduate Are compact operators on H isomorphic to 4×4 matrices of compact operators?
- lunde
- · Replies 1 ·
Graduate Is There a User-Friendly Program for Checking Radical Ideals in Polynomials?
- GargleBlast42
- · Replies 2 ·
Graduate What does Up to Isomorphism mean?
- Buri
- · Replies 9 ·
Graduate Are Unitary Transformations Always Linear?
- lunde
- · Replies 6 ·
Undergrad Is Row Echelon Form an Upper Triangular Matrix?
- ichigo444
- · Replies 2 ·
Graduate What is the relationship between det(M) and det(X+iY)?
- quasar987
- · Replies 2 ·
Undergrad The square root of a 2x2 matrix
- onako
- · Replies 4 ·
Undergrad How to plot T2 vs T1 when all three variables in 0.02q=T1-T2 are unknown
- princesvpk
- · Replies 4 ·
Graduate Is Squaring an Equation Adequate for Proof in Analysis?
- sponsoredwalk
- · Replies 7 ·
Graduate Is A/B' = A/B a Sufficient Condition for B' = B in Abelian Groups?
- eok20
- · Replies 2 ·
Graduate Simple worked examples for linear algebraic groups
- esisk
- · Replies 2 ·
Undergrad Can you give me a least squares example?
- hkBattousai
- · Replies 14 ·
Graduate Real matrix Q for similar 2x2 matrices with complex similarity
- samkolb
- · Replies 4 ·
High School Faster methods for computing 3x3 determinants
- arian487
- · Replies 10 ·
Graduate Subspace of A and a matrix formed by row operation
- Ali Asadullah
- · Replies 5 ·
Graduate Linear Algebra Proof, Is it correct?
- Buri
- · Replies 2 ·
Graduate Proving the Cauchy-Schwarz inequality with summation notation
- dr hannibal
- · Replies 4 ·
High School Need something solving PROBLEM AHOY
- SolStis
- · Replies 5 ·
Graduate Can Randomness Be Proven in Sequences of Numbers?
- mt8891
- · Replies 7 ·
High School Solve Linear Equation for Extra Credit: f(x+a)=f(x^2+a)
- CBrent
- · Replies 1 ·
High School Finding errors in my LCM proof
- Fisicks
- · Replies 1 ·
Graduate Solution to an eigenvalue problem ?
- kpc2
- · Replies 2 ·
Graduate What is the significance of duality in vector spaces?
- wayneckm
- · Replies 1 ·
Graduate Invariant Subspace: Understanding Definitions
- sol66
- · Replies 6 ·
Graduate Is Every Element in a Finite Commutative Ring a Unit or Zero-Divisor?
- xixi
- · Replies 1 ·
Graduate Need material to study Galois theory
- thefly
- · Replies 1 ·
Undergrad Easy way of checking for matrix invertability?
- rayver
- · Replies 3 ·
Undergrad Silly Matrix Algebra/Regression Question
- Weather Freak
- · Replies 2 ·
Undergrad Are Cyclic Groups with x^n = 1 the Only Finite Groups?
- Identity
- · Replies 5 ·
Why does this theorem seem so simple when it's supposedly important?
- mt8891
- · Replies 2 ·
Graduate Understanding Halmos's Definition of Tensor Product of Vector Spaces
- Gramsci
- · Replies 7 ·
Undergrad Physical interpretation of a determinate?
- Xyius
- · Replies 2 ·
Graduate Solutions of a particular equation
- A-ManESL
- · Replies 2 ·
Undergrad Is the Range of a Countable Function also Countable?
- Noxide
- · Replies 1 ·
Undergrad Proving Invertibility of a Matrix: Ax=e1
- Ali Asadullah
- · Replies 2 ·
Graduate Dirichlet Inverse: Find G in Terms of F
- Charles49
- · Replies 2 ·
Undergrad Finding perpendicular separating axes for polygon intersection detection
- marklee42
- · Replies 6 ·
Undergrad Reduced row echelon form question
- wumple
- · Replies 2 ·
Graduate Diophantine equation x^4 - y^4 = 2 z^2
- TTob
- · Replies 3 ·
Undergrad Is direct product of subgroups a subgroup?
- krishna mohan
- · Replies 1 ·
Graduate Does the Grothendieck group construction produce minimal cardinality?
- mnb96
- · Replies 12 ·
Graduate How to probe the group SU(2) is simply connected?
- wdlang
- · Replies 2 ·
Graduate Isomorphisms and Actions: Can a Bijection Preserve Group Actions?
- mnb96
- · Replies 2 ·