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 Prove that n^3-n is divisible by 6 for every integer n
- symplectic_manifold
- · Replies 11 ·
High School Find all divisors of for example 29601
- symplectic_manifold
- · Replies 3 ·
Undergrad Find Book on Intro Abstract Algebra: Rings, Fields, Polynomials
- devious_
- · Replies 1 ·
Undergrad Visualizing equations in a row picture.
- NINHARDCOREFAN
- · Replies 1 ·
Graduate Difference between ||u|| and |u| in Cauchy-Schwarz inequality
- misogynisticfeminist
- · Replies 8 ·
Graduate Are Continuous Functions with Zero Integral a Subspace of C[a,b]?
- gaborfk
- · Replies 6 ·
Undergrad What Does the Term Singular Mean in Relation to Square Matrices?
- es
- · Replies 4 ·
Graduate Congruent equality - how to prove?
- AntonVrba
- · Replies 2 ·
Undergrad Conceptual explanation of Dot Product
- M.Hamilton
- · Replies 7 ·
Graduate Proof of Fermat's Little Theorem
- amcavoy
- · Replies 5 ·
High School Why is 1 not considered a prime number?
- Loren Booda
- · Replies 39 ·
Graduate Is the Product of All Irrationals Rational or Irrational?
- Loren Booda
- · Replies 2 ·
Graduate How Do Automorphisms Affect Elements in Non-Prime Subfields of Finite Fields?
- isaiah
- · Replies 3 ·
Graduate What is the Magical Property of the Fibonacci Array?
- ramsey2879
- · Replies 1 ·
Undergrad Proving no two consecutive Fibonacci numbers share a common divisor
- chocok
- · Replies 1 ·
Undergrad Solving Vector Proof: Perpendicular Distance Between Two Parallel Planes
- Giuseppe
- · Replies 3 ·
Undergrad Finding nonzero vectors where a × b = a × c but b ≠ c
- Giuseppe
- · Replies 5 ·
Graduate How can I diagonalize this large sparse square matrix?
- oki
- · Replies 8 ·
Undergrad Unique identity and inverse question.
- loli12
- · Replies 1 ·
High School Why is y=|x|+x defined as y=2x for x>0, not x≥0?
- Soaring Crane
- · Replies 2 ·
Graduate Point Vectors in 3D Space: Are Cross Products of Two Vectors Equal?
- bomba923
- · Replies 5 ·
Graduate An strategy to prove Riemann hypothesis
- eljose
- · Replies 4 ·
Graduate Galois Extension field properties
- snoble
- · Replies 3 ·
Graduate Understanding Lines of Invariance and Their Relationship to Rotational Matrices
- morry
- · Replies 2 ·
Undergrad Cubics, Quartics, and Abel's Proof
- amcavoy
- · Replies 5 ·
Graduate How Can I Visualize 3D Rotation Transformations in Linear Algebra?
- don_anon25
- · Replies 1 ·
Graduate Numerical solutions of system of nonlinear algebraic equations nonlinear algebraic eq
- alexyan
- · Replies 6 ·
Undergrad Finding Prependicular Unit Vectors in 3D Space
- brad sue
- · Replies 4 ·
Graduate Is There a Relationship Between g(1-s) and g(s) in L-Dirichlet Series?
- eljose
- · Replies 2 ·
Undergrad Greedy algorithm for minimizing water stops in a desert crossing
- black_red_cragon
- · Replies 1 ·
Undergrad Efficient Methods for Computing Determinants of Large Matrices
- amcavoy
- · Replies 7 ·
Graduate Define R/Q: How to Add in Quotient Groups
- matness
- · Replies 4 ·
Graduate Getting Started with Noncommutative C* Algebras
- Hurkyl
- · Replies 17 ·
Graduate Is Dedekind's Axiom Still Relevant in Modern Mathematics?
- Canute
- · Replies 53 ·
Undergrad Image and kernel of reflection in y=x/3 and projection onto a plane
- yukcream
- · Replies 7 ·
Undergrad Representation of Rational Numbers by Formulas
- nworm
- · Replies 10 ·
Graduate How to Classify Groups of Order pq² with Given Conditions?
- AKG
- · Replies 8 ·
Undergrad Unique linear transformations
- complexhuman
- · Replies 2 ·
Graduate What is a Simplified Expression for pi(x)?
- serge
- · Replies 5 ·
Undergrad General form of polynomials in two variables and matrix representation
- complexhuman
- · Replies 3 ·
Graduate Are Riemann hypothesis and Goldbach conjecture related?
- eljose
- · Replies 1 ·
Graduate Can the nonnegative integers form a field with redefined operations?
- mruncleramos
- · Replies 2 ·
Undergrad How do non-integral number bases work?
- abhishek
- · Replies 4 ·
Undergrad Solving Polynomial Factors: Using Factor Theorem and Synthetic Division
- Hookflash
- · Replies 5 ·
High School A Number to a fraction of a power
- AZTarzan
- · Replies 2 ·
High School Help with matrix operations
- tsnjonjo
- · Replies 2 ·
Graduate Are Sylow subgroups unique in groups with specific conditions?
- AKG
- · Replies 4 ·
Undergrad Equation of the line given a translation vector (that is coincident) and a point
- singleton
- · Replies 5 ·
Graduate How to Prove HK is a Cyclical Subgroup?
- gonzo
- · Replies 13 ·
Graduate A Steep towards a formula for Pi(x)
- eljose
- · Replies 10 ·
Graduate How does the Riemann hypothesis relate to prime number distribution?
- philosophking
- · Replies 44 ·
High School How to Solve Equations with Positive Integer Solutions?
- aravindsubramanian
- · Replies 2 ·
Undergrad Why must every homogeneous system of planes have at least 1 intersection point
- singleton
- · Replies 1 ·
Undergrad Find zeros at the end of a factorial
- amcavoy
- · Replies 15 ·
High School PDF file that gives a good introduction to congruencies?
- amcavoy
- · Replies 2 ·
Undergrad Can (x+y) + xy = C Be Solved for Even Numbers?
- aravindsubramanian
- · Replies 15 ·
Undergrad Should I buy Dummit and Foote 2nd or 3rd edition for abstract algebra?
- sparkster
- · Replies 8 ·
Graduate Why Does (A-λ1I)(A-λ2I)x=0 Hold for Linear Combinations of Eigenvectors?
- makris
- · Replies 2 ·
Graduate Piece-wise continuous functions on the close interval
- physicsss
- · Replies 4 ·
Undergrad Finding Roots of Complex Polynomials: General Formula and Exponential Form
- complexhuman
- · Replies 7 ·
Undergrad Finding matrix A when AB=C and B,C are known
- Rizzamabob
- · Replies 1 ·
Graduate Interpolation Axis for two Matrices
- Dissident Dan
- · Replies 8 ·
Graduate An integral expression for Pi(x)
- eljose
- · Replies 22 ·
High School How can I easily convert between different bases?
- mepcotterell
- · Replies 2 ·
Graduate What is the reworded formula for Fermat's last theorem?
- SteveRives
- · Replies 4 ·
Graduate Why is A(w) - A_R(w) in W_1 in the Triangulization Theorem?
- TomMe
- · Replies 4 ·
Undergrad Basis for Subspace Spanning Three Vectors
- EvLer
- · Replies 10 ·
Graduate Eigenvectors and eigenvalues of an n×n all-ones matrix
- physicsss
- · Replies 3 ·
Graduate Riemann Hypothesis effect on the world
- whatzzupboy
- · Replies 5 ·
Undergrad Solving MIT OCW Problem with A Matrix
- amcavoy
- · Replies 4 ·
Graduate Orientation preserving and determinants
- JSG31883
- · Replies 4 ·
High School Can a Triangle Have Sides of 1m and Hypotenuse of √2m?
- Cheman
- · Replies 27 ·
Undergrad Similarity - trace and determinant
- circa415
- · Replies 7 ·
Undergrad Can You Solve ax+ay-xy=c for x and y Deterministically?
- aravindsubramanian
- · Replies 10 ·
Graduate Subset Span Proof: Proving W is a Subspace of V with Span(W) = W
- zmdeez
- · Replies 3 ·
Undergrad How to Convert a Univariate Polynomial to a Matrix?
- ravishankar_v
- · Replies 7 ·
Graduate How can we obtain an integral equation for M(x)?
- eljose
- · Replies 3 ·
High School Interpreting chained dot products like a*b*c
- singleton
- · Replies 5 ·
Undergrad Understanding Orthogonal Polynomials in Mathematical Physics
- sniffer
- · Replies 2 ·
Undergrad Linear Transformations - formula
- notmuch
- · Replies 2 ·
Graduate What is the constant for ellipses and how does it relate to triquametric motion?
- brunardot
- · Replies 10 ·
Undergrad Why isn't -1 considered a prime number?
- AntonVrba
- · Replies 25 ·
Graduate When do linear operators with the same commutation relation conjugate to each other?
- PBRMEASAP
- · Replies 10 ·
Undergrad Why does rotating axes around z give these transformation formulas?
- misogynisticfeminist
- · Replies 5 ·
Undergrad What is a group and what are some examples?
- waht
- · Replies 18 ·
Undergrad Modulo Arithmetic: Division Defined?
- gazzo
- · Replies 4 ·
Graduate How can group theory be applied to improve Rubik's cube solutions?
- Antiphon
- · Replies 5 ·
Undergrad Linear Transformation: Kernel, Dependence, Dimension, Basis
- EvLer
- · Replies 6 ·
Graduate Can This 4-Dimensional Integral Provide a New Way to Calculate Pi(x)?
- eljose
- · Replies 39 ·
Undergrad Let A be the matrix: [1 2 0 3] [0 0 0 0] [0 0 1 2] Is A in RREF?
- AsymptoticCoder
- · Replies 2 ·
Undergrad How do you find the equation of a plane given three points?
- Nusc
- · Replies 5 ·
Graduate Equality and Convergence of Prime Products
- eljose
- · Replies 12 ·
Undergrad Calculation of simultaneous equations
- sid_galt
- · Replies 13 ·
Graduate Can A Square Matrix with AA^T = A^TA = I_n Have a Determinant of \pm 1?
- Nusc
- · Replies 15 ·
Undergrad Show that x+y and x-y are orthogonal if and only if x and y have the same norms
- physicsss
- · Replies 4 ·
Undergrad What are the key differences between affine and vector spaces?
- roger
- · Replies 3 ·
Graduate RSA-200 factoring and the shift from decimal to bits
- aravindsubramanian
- · Replies 13 ·
Graduate General solution to Pell-like equation y^2 + 2x^2 = n^2
- ramsey2879
- · Replies 15 ·
High School Why are certain matrices referred to as n x n?
- Nusc
- · Replies 4 ·
Graduate Quick notation+statement verification
- bomba923
- · Replies 2 ·