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 Which text? Second course in linear algebra
- Sulphagne
- · Replies 14 ·
Graduate A conjecture on Cesaro summation and primes.
- Klaus_Hoffmann
- · Replies 6 ·
Graduate How Do You Solve Norm and Matrix Approximation Problems in Linear Algebra?
- yooyo
- · Replies 1 ·
Graduate How to solve linear least squares with two unknowns and vertex constraints
- slylock
- · Replies 8 ·
Graduate Angle preserving linear transformations
- bigli
- · Replies 1 ·
Graduate How Do Eigenvalues Relate to Polynomial Roots in Linear Algebra?
- FlashStorm
- · Replies 2 ·
High School Solving for the Determinent of a Matrix
- Poweranimals
- · Replies 16 ·
Graduate Given an algebraic alpha be of degree n over F, show at most. .
- barbiemathgurl
- · Replies 2 ·
Graduate A formula related to multiplicative order
- praneeth
- · Replies 5 ·
Graduate Counting Integer Solutions to Curves of the Form x^n-c-ky=0
- Klaus_Hoffmann
- · Replies 4 ·
Undergrad Proving A = rref(B) with a Matrix S
- johndoe3344
- · Replies 3 ·
Graduate Total zeros in a factorial without calculating n!
- whatever84
- · Replies 9 ·
Graduate Show Primitive Roots Cannot be Perfect Cubes Modulo Prime p
- nidak
- · Replies 3 ·
Graduate Solving Hard Matrix Prob: A+kB Invertible w/ Integer Entries
- barbiemathgurl
- · Replies 4 ·
Graduate Factoring Polynomials in Z_p: Finding Degree 'd
- barbiemathgurl
- · Replies 3 ·
Graduate Is the Zero Vector Implicit in Vector Subspaces or Must It Be Defined?
- matheinste
- · Replies 8 ·
Graduate What is the proof of the proposition for non-abelian group of order 27?
- Ultraworld
- · Replies 12 ·
Graduate Degree of Extension: n Primes to Q
- Kummer
- · Replies 4 ·
Graduate Can a Sequence of 1's and 0's Be a Multiple of Any Integer?
- Kummer
- · Replies 14 ·
Undergrad What is the equation to predict the next numbers?
- alasdair101
- · Replies 2 ·
Undergrad Finding determinant of Vandermonde matrix
- strugglinginmat
- · Replies 2 ·
Graduate Does this expression make sense.
- Klaus_Hoffmann
- · Replies 1 ·
Graduate Solving a System of Congruences with A Changing Modulus
- drosser
- · Replies 3 ·
Undergrad Is There a Quick Formula for Calculating Perfect Numbers?
- harisma
- · Replies 9 ·
Undergrad Can Non-Homogeneous Linear Systems Have Multiple Solutions?
- strugglinginmat
- · Replies 1 ·
Undergrad Proving Theorem: Column Space of Matrix A is a Subspace of R^m
- 413
- · Replies 4 ·
Undergrad Are the kernel and image the same for a matrix and its reduced row echelon form?
- johndoe3344
- · Replies 9 ·
Undergrad How to determine if a 3x3 matrix is diagonalisable or not?
- neelakash
- · Replies 7 ·
Undergrad What Are Congruent Modulos?
- stanners
- · Replies 1 ·
Graduate Can a geometric vector become a covector when referred to a dual basis?
- matheinste
- · Replies 25 ·
Graduate Why Is the Trace of a Linear Operator Well-Defined?
- strugglinginmat
- · Replies 1 ·
Graduate What is the Ring Generated by R-Linear Combinations of These Matrices?
- plxmny
- · Replies 12 ·
Undergrad Direct sum vs ordinary sum of vector spaces
- jostpuur
- · Replies 19 ·
Undergrad Why does det M = 1 mean rotation and det M = -1 mean reflection?
- neelakash
- · Replies 1 ·
Graduate Eigenvalues for a matrix with equal and opposite diagonal entries?
- AlphaNumeric2
- · Replies 3 ·
Undergrad Does the Union Notation in Abstract Algebra Allow for Multiple Matches for x?
- freefizix
- · Replies 2 ·
Graduate Infinite-dimensional matrix multiplication
- alex5
- · Replies 8 ·
Graduate Prove both sufficiency and necessity
- 413
- · Replies 4 ·
Graduate Is an Explicit Formula for Beilinson's Regulator Map Feasible?
- LorenzoMath
- · Replies 3 ·
Graduate Is this the end of the Riemann Hypothesis?
- neutrino
- · Replies 15 ·
Graduate Continued fractions for (ir)rationals
- CRGreathouse
- · Replies 1 ·
High School What is the meaning of Dot Product
- Shing
- · Replies 12 ·
Undergrad I am looking to find some lecture notes on upper division linear algebra
- kant
- · Replies 1 ·
Graduate Riemann Zeros and Harmonic Frequencies
- overlook1977
- · Replies 1 ·
Undergrad Why does x^x give different results for negative x using different methods?
- prasannapakkiam
- · Replies 3 ·
Graduate Mathematical explanation for Ramanujan's pi formula
- tpm
- · Replies 2 ·
Graduate Square root of a rotation matrix
- yetar
- · Replies 1 ·
Undergrad Struggling with Linear Transformation Part Two?
- mslodyczka
- · Replies 1 ·
Graduate Prove that an integer with digits '1' is not a perfect square.
- futb0l
- · Replies 39 ·
Undergrad Will m + k = n always hold for linear equations?
- 413
- · Replies 5 ·
Undergrad Don't understand this simple vector space problem
- octol
- · Replies 4 ·
Graduate How Do Symmetrical Base n and Base m Decimals Relate?
- jmich79
- · Replies 4 ·
Graduate What is the field with one element ?
- Kamataat
- · Replies 3 ·
Undergrad Parametric equations for a helical pipe
- jaksweeney
- · Replies 5 ·
Graduate Understanding Ring Relationships and the Frobenius Automorphism
- VoleMeister
- · Replies 4 ·
Graduate What is the relationship between the exterior and cross products?
- Swapnil
- · Replies 3 ·
Graduate Understanding Algebraic K-theory through Quillen's Plus Construction
- sparkster
- · Replies 5 ·
Graduate Find body rate to rotate vector A onto vector B
- SEG9585
- · Replies 5 ·
Undergrad How Does Infinity Manifest in Algebraic Concepts and Applications?
- pivoxa15
- · Replies 3 ·
Undergrad Solving differential equations through matrix
- devoured_elysium
- · Replies 5 ·
Undergrad Finding Equation for Two Dataset Relationships
- Analysis
- · Replies 5 ·
Graduate Butis really so easy? (Möbius inversion)
- tpm
- · Replies 1 ·
Graduate Multiplication of primitive roots
- trisacloon
- · Replies 7 ·
Undergrad Can All Eigenvectors of a Matrix Be Zero Vectors?
- Neoon
- · Replies 10 ·
Graduate Computing rank of a matrix over a finite field
- Hurkyl
- · Replies 5 ·
Graduate Module Problem: Existence and Sub-Module of N
- Hurkyl
- · Replies 2 ·
Undergrad Calculating Pi with Polygons: Is Converting to Degrees a Valid Method?
- mr200backstrok
- · Replies 8 ·
Graduate Subvarieties in algebraic geometry
- AlphaNumeric
- · Replies 8 ·
Undergrad A question that should use pigeon hole principle.
- MathematicalPhysicist
- · Replies 15 ·
Undergrad Is R={(x,y,z,w) belongs to R^4; x+y+sz-w=s^2-2s} a subspace of R^4?
- Neoon
- · Replies 28 ·
Graduate Solving (p-1)(p^n+1)=4m(m+1) for odd primes p and positive integers m and n
- Gib Z
- · Replies 10 ·
Graduate Finding Jordan Basis and Form for a Matrix with Zero Eigen Value
- MathematicalPhysicist
- · Replies 10 ·
Graduate How can the normality of a subgroup be proven when the group has a finite index?
- VoleMeister
- · Replies 3 ·
Graduate Generalized jordan curve theorem
- StatusX
- · Replies 2 ·
Graduate Riemann Zeta Function Zeros: Spacing and Convergence
- Diophantus
- · Replies 5 ·
Graduate Find Number of Generators in Z_(p^r)
- Eivind
- · Replies 3 ·
Undergrad Vector Equation: Can I Divide Vectors?
- hotcommodity
- · Replies 2 ·
Graduate Sylow Theorem Part 2: Find Order of Subgroup PQ
- catcherintherye
- · Replies 1 ·
Undergrad Is x^22 - 3x^11 + 2 Irreducible?
- catcherintherye
- · Replies 2 ·
Graduate Failure of the sylow counting argument
- catcherintherye
- · Replies 1 ·
Graduate Proving Equation (2a+b)×(c-a)+(b+c)×(a×b)=a×c
- jiangxiaoyu
- · Replies 7 ·
Undergrad How to determine if a matrix represents an injective or bijective function
- devoured_elysium
- · Replies 4 ·
Graduate Zero divisors in rings of characteristic m when gcd(n,m) is proper
- pureouchies4717
- · Replies 1 ·
Graduate Proving the Subgroup Theorem for Nonempty Subsets of a Group
- radou
- · Replies 2 ·
Graduate Proof that sum of 3 roots of rationals is rational etc
- jonas.hall
- · Replies 20 ·
Graduate Unitary equivalence vs. similarity
- quasar_4
- · Replies 3 ·
Graduate Why is the prime counting function seemingly contradictory?
- tpm
- · Replies 10 ·
Undergrad What Is the Use of a Space Covering?
- quasar987
- · Replies 15 ·
Undergrad Why can triangle symmetries produce all permutations but square symmetries cannot?
- Siberius
- · Replies 3 ·
Graduate Automorphisms of the vector space Z_3(alpha) over Z_3
- erraticimpulse
- · Replies 3 ·
High School Solve Algebra Equation: Y/Q = P + P/Q
- ssb
- · Replies 6 ·
Graduate Erdős series with alternating prime terms diverges
- Dragonfall
- · Replies 2 ·
Graduate Sequence of ratios of primes and integers
- Dragonfall
- · Replies 24 ·
Graduate Trouble Understanding Geometric Algebra: Seeking Guidance
- matheinste
- · Replies 6 ·
Graduate Integrating n.curl F and n^grad(phi) on a Closed Surface
- Tiggy
- · Replies 2 ·
Graduate How Can Steinitz Replacement Theory Convert Set B into Set A?
- ashnicholls
- · Replies 12 ·
Undergrad What determines whether or not a matrix is stable?
- Tonyt88
- · Replies 2 ·
Undergrad Prove that the list (x^3, sin(x), cos(x)) is linearly independent in V
- GluonZ
- · Replies 3 ·
Undergrad Vector Spaces: A Comparison of Two Bases in V3(R)
- ashnicholls
- · Replies 1 ·
Graduate What Geometrical Objects Do Subspaces of V3(R) Represent?
- ashnicholls
- · Replies 5 ·