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 Isomorphism between M × M and R²
- alexbennie
- · Replies 2 ·
Factoring RSA-200
- Zurtex
- · Replies 13 ·
Undergrad Prove A is invertible iff A^T*A is invertible
- physicsss
- · Replies 5 ·
Graduate Can An Infinite Power Set Be Defined and Is it a Set?
- Don Aman
- · Replies 3 ·
Undergrad Abstract Algebra book suggestions
- Karate Chop
- · Replies 18 ·
Graduate Proof of Golbach's conjecture and the twin prime conjecture
- keebs
- · Replies 9 ·
Graduate Congruence Problem Solution for FLT
- vantheman
- · Replies 19 ·
Graduate Proving solvability of y² + p² = 2x² from related Diophantine equations
- angelo
- · Replies 4 ·
Graduate Does Deutsch's algorithm reveal insights into prime density?
- Loren Booda
- · Replies 5 ·
Undergrad Orthonormal, Orthogonal, Perpendicular
- Nusc
- · Replies 4 ·
Graduate Is Ker(f)={e} Enough to Prove Injectivity for a Group Homomorphism?
- quasar987
- · Replies 67 ·
Graduate Can Linear Independence of Vector Pairs Imply Independence of Their Union?
- physicsss
- · Replies 3 ·
Undergrad Sin(2x) and sin(3x) are orthogonal to each other
- SSSUNNN
- · Replies 4 ·
Graduate What is the basis for the subspace W spanned by {sin^2(x), cos^2(x), cos2x}?
- physicsss
- · Replies 4 ·
Graduate How Can I Decompose a 3x3 Rotation Matrix into a Product of 3 Rotations?
- Cristi-Tota
- · Replies 1 ·
High School Matrices in more than 2 dimensions
- The Rev
- · Replies 5 ·
Undergrad MinimalPolynomial.pdfHow Can I Find the Minimal Polynomial for a Given Matrix A?
- Chen
- · Replies 2 ·
Undergrad Span of (1,1,1) and (1,-1,1) in R^3
- physicsss
- · Replies 6 ·
Graduate Constructing a Cartesian Closed Topos for Real Closed Fields
- Hurkyl
- · Replies 2 ·
Graduate Transpose of Matrix as Linear Map
- chingkui
- · Replies 2 ·
Graduate Proof of $(I-C)^{-1}\leq \|I\| + \|C\| + \|C\|^2 + \cdots$ Using Matrix C
- flop
- · Replies 2 ·
Undergrad Prove 3 divides n³ - 7n + 3 by induction
- johnnyICON
- · Replies 8 ·
Graduate Finding Eigenvectors for Coordinate transformation
- pjg
- · Replies 11 ·
Undergrad Is scalar multiplication to zero a valid vector space operation?
- physicsss
- · Replies 13 ·
Graduate Complex roots problem (a proof by induction)
- TomMe
- · Replies 12 ·
Undergrad Linear and Abstract Algebra textbooks
- Icebreaker
- · Replies 48 ·
Graduate Alsings hypothesis of integers bigger than 2
- HAP
- · Replies 2 ·
Undergrad Solving 4x4 Determinant - Find a and b
- cnky
- · Replies 8 ·
Undergrad Is Sudoku Addicting and Mathematically Complex?
- quetzalcoatl9
- · Replies 2 ·
Undergrad Finding a Basis for M2's Symmetric Matrices
- heman
- · Replies 3 ·
Undergrad Solving 10cos(x) + 13.41cos(y) = 5.4 with constraint
- John O' Meara
- · Replies 2 ·
High School Why is gcd important in number theory?
- honestrosewater
- · Replies 21 ·
Undergrad Does the notation used for the span part of an eigenvector matter?
- amcavoy
- · Replies 2 ·
Graduate Natural isomorphism of VxV* and End(V)
- Don Aman
- · Replies 22 ·
Graduate Groups of Even Order Containing Odd Number of Elements of Order 2
- quasar987
- · Replies 19 ·
Graduate Curious about a pattern to prime products.
- rshriner
- · Replies 13 ·
Graduate Equivalent conditions for hermitian matrix
- twoflower
- · Replies 5 ·
Graduate Asymptotic formula for Mertens function
- keebs
- · Replies 4 ·
Undergrad How to find all solutions of Pell equation
- murshid_islam
- · Replies 14 ·
Graduate Something about hermitian matrixes
- twoflower
- · Replies 5 ·
Undergrad Kernel of differentiation and integration
- madking153
- · Replies 5 ·
Undergrad Prove that if n divides a - b, then n divides a and b
- quasar987
- · Replies 29 ·
Undergrad A simple permutation question or not so simple
- johnnyICON
- · Replies 9 ·
Graduate Sum of quadratic residues modulo a prime
- T.Rex
- · Replies 5 ·
Graduate What is the Identity Property of Determinants and its Relation to Linearity?
- twoflower
- · Replies 4 ·
Undergrad How Is the Vector Solution 1/2(p-q) Derived?
- m00c0w
- · Replies 3 ·
Undergrad Nontrivial Subspace with Equal Dimensions: Linear Algebra Example
- dan0
- · Replies 2 ·
Graduate Can a group of order 98 have a subgroup of order 7?
- rayveldkamp
- · Replies 2 ·
Graduate Does every polynomial over integers split over some finite field?
- snoble
- · Replies 13 ·
Graduate Final Physics Degree: What Are Quaternion Math Problems Used For?
- James Jackson
- · Replies 2 ·
Graduate Something that's been frustrating me
- Manchot
- · Replies 4 ·
High School 0/0 Anything divided by zero is undefined
- madness
- · Replies 11 ·
Undergrad Complex conjugate of a 5 x 5 matrices?
- ayalam
- · Replies 7 ·
Undergrad How Can a Physics Student Self-Learn Linear Algebra?
- Baggio
- · Replies 8 ·
Graduate Proving the Convergence of a Sequence Defined by Induction
- johnnyICON
- · Replies 8 ·
High School How can 2D planes exist without thickness in real space?
- DOCMUR
- · Replies 3 ·
Undergrad How Can I Determine if a Matrix is Positive?
- Seckin Sefi
- · Replies 2 ·
Graduate Show that a weighted integral defines an inner product on ℝ₁[x]
- Zurtex
- · Replies 17 ·
Undergrad Theorem regarding mod properties
- plusunim
- · Replies 5 ·
Graduate Linear algebra proofs on identity operators, similarity, and eigenvalues
- hola
- · Replies 20 ·
Graduate Proving Orthogonality of Non-Zero Vectors
- mattmns
- · Replies 13 ·
Undergrad Help with linear algebra final: eigenvalues, eigenvectors, diagonalization
- Gale
- · Replies 26 ·
Graduate Let V be a 5 dimensional vector space
- laminatedevildoll
- · Replies 2 ·
Graduate What progress has been made on the Riemann Hypothesis since 2004?
- Icebreaker
- · Replies 2 ·
Undergrad Markov chains and steady state vectors
- Physics is Phun
- · Replies 3 ·
Graduate Proving Solutions of Linear Transformations Using Kernel and Fixed Vectors
- laminatedevildoll
- · Replies 4 ·
Undergrad Understanding Right and Left Handed Systems in Vector Calculus
- laminatedevildoll
- · Replies 2 ·
Graduate What's the probability of R in C?
- Sabine
- · Replies 12 ·
Graduate Can a subspace be written as the direct sum of two orthogonal spaces?
- matness
- · Replies 11 ·
Undergrad Proving a number is divisible by 48
- johnnyICON
- · Replies 33 ·
Undergrad Do Infinitely Many Prime Pairs Exist?
- nnnnnnnn
- · Replies 93 ·
Graduate Show Reducibility of x^4+1 Modulo p
- Palindrom
- · Replies 11 ·
High School Is Zero Raised to the Power of Zero Equal to One?
- The Rev
- · Replies 83 ·
Undergrad Prove gcd(b, d) = gcd(a, b) when d = a + bc
- BicycleTree
- · Replies 11 ·
Graduate Does the axiom of choice guarantee a basis for every vector space?
- chingkui
- · Replies 15 ·
Graduate Eigenvalues, eigenvectors question
- jhson114
- · Replies 4 ·
Graduate What is the difference between diagonal form and Dirac form of an operator?
- James Jackson
- · Replies 2 ·
Undergrad Order of operations in modular arithmetic with exponents
- johnnyICON
- · Replies 8 ·
Undergrad Determinants of odd skew-symmetric matrices and eigenvalues of inverses
- jhson114
- · Replies 15 ·
Graduate Powers of a non-diagonalizable matrix?
- TomMe
- · Replies 6 ·
High School What is the Fibonacci sequence?
- Leopold Infeld
- · Replies 6 ·
Graduate Is the polar vector E a basis for a representation of group Oh?
- PhysKid24
- · Replies 3 ·
Undergrad Verify Linear Transformations: 3.4a, 3.4b
- laminatedevildoll
- · Replies 2 ·
High School Understanding Congruency and Its Applications
- johnnyICON
- · Replies 3 ·
High School Where Can I Find a Base to Base Conversion Calculator for Various Number Bases?
- RandallB
- · Replies 2 ·
Graduate What Are the Clues for Proving the Eigenvalue Equation in Physics?
- quasar987
- · Replies 14 ·
Undergrad How much commutativity in associativity
- Kocur
- · Replies 9 ·
Graduate What Defines Mainvectors in the Context of Eigenvalue Multiplicities?
- yeus
- · Replies 3 ·
Undergrad Is Infinity Just an Inverse Zero?
- Coqui
- · Replies 6 ·
Solving a Problem: Seeking Feedback
- laminatedevildoll
- · Replies 2 ·
High School Is Subtraction of Real Numbers Associative or Not?
- Kocur
- · Replies 3 ·
Graduate Proof Hint: Show +-1 are Eigenvalues of T on nxn Matrices with Real Entries
- eckiller
- · Replies 2 ·
Graduate Defining polar coordinates without undefined tangent values
- quasar987
- · Replies 10 ·
Undergrad Little excercise about bases (question)
- TomMe
- · Replies 16 ·
Undergrad Cross product of polar coordinates
- tiagobt
- · Replies 2 ·
Undergrad Does a 2×3 matrix span ℝ² using the given theorem?
- Mathman23
- · Replies 2 ·
Graduate Prime Numbers in the Diophantine equation q=(n^2+1)/p and p is Prime
- AntonVrba
- · Replies 5 ·
Undergrad If B²=B, prove det(B)=1 or B is singular
- hola
- · Replies 7 ·
Undergrad Number theory notes from Cambridge first year syllabus
- maverickmathematics
- · Replies 6 ·
Graduate Free algebra notes on linear algebra, group theory, Riemann-Roch
- mathwonk
- · Replies 17 ·