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 How Can Infinitely Many Integers Make n² + (n+1)² a Perfect Square?
- qaz
- · Replies 4 ·
High School Intergration: Algebra, Writing Equations of Lines
- Redfrog2
- · Replies 2 ·
Undergrad Is Wilson's Theorem Really a Proof?
- Ed Quanta
- · Replies 22 ·
Graduate Proving (n^4) + 4 is Composite for All n>1: The Odd n Case
- Gokul43201
- · Replies 7 ·
Undergrad Need Explination (linear Indpendance)
- stuckie27
- · Replies 3 ·
Graduate Circle composition operator / Jacobson Radical
- robphy
- · Replies 10 ·
High School Finding a parabola from three intersection points of lines
- dmbeluke
- · Replies 2 ·
Graduate Can This Mathematical Permutation Problem Be Generalized for Any 4n Terms?
- dapet
- · Replies 2 ·
Graduate Solving Complex Matrix Problems: Normality, Diagonality, and Unitary Matrices
- broegger
- · Replies 4 ·
Undergrad Linear Transformation of s u + r V
- angel
- · Replies 2 ·
High School Smallest Number Divisible by 2-10: Is it 7560?
- franz32
- · Replies 6 ·
Graduate Belian group A that is the direct sum of cyclic groups
- Nexus[Free-DC]
- · Replies 2 ·
Graduate Necessary and sufficient condition
- tamser0630
- · Replies 4 ·
Undergrad Trouble understanding how to formulate rhis problem
- angel
- · Replies 3 ·
Graduate Can the Polynomial g(x) Have a Solution Modulo Any Integer n?
- qaz
- · Replies 6 ·
Undergrad Finding vector perpendicular to plane
- Michael2003
- · Replies 6 ·
Undergrad Sufficiency of n eqs. for n unkwns.
- turin
- · Replies 4 ·
Undergrad Why does adding digits of a number always give one less than the base?
- marisolm
- · Replies 10 ·
Graduate Some theorems regarding decimal representations
- Ed Quanta
- · Replies 2 ·
Undergrad Finding equations of planes from vector conditions
- Carlito
- · Replies 2 ·
Undergrad Finding parabola coefficients with a 3×3 matrix
- Hyperreality
- · Replies 2 ·
Graduate Can the group of rational numbers be generated by a finite set of elements?
- Jupiter
- · Replies 7 ·
Undergrad Some theorem regarding rational numbers
- Ed Quanta
- · Replies 6 ·
Graduate What are the ideals in various rings?
- nocheesie
- · Replies 6 ·
Undergrad Finding the Line of Intersection for Two Planes
- theorist
- · Replies 2 ·
Undergrad What does it mean to apply vector <-1,-1> to translate f(x) to h(x)?
- kvzrock
- · Replies 3 ·
Undergrad Reviewing Algebra for CAT6 Test: 3 Challenging Problems
- Imparcticle
- · Replies 3 ·
Undergrad The Bilinear Form Kernel in Mathematics
- Imparcticle
- · Replies 21 ·
High School Solving Linear Systems: Verify Your Solution
- Ericca
- · Replies 9 ·
Undergrad Relationship between Linear Algebra and Differential equations
- discoverer02
- · Replies 3 ·
Undergrad Matrix M Formulation for Xn and Xn+1
- n0_3sc
- · Replies 3 ·
Graduate What is a continuously indexed vector basis?
- mstrachan
- · Replies 6 ·
High School Solve the system. (1) 5x + 2y = 5 (2) 3x - 4y = -23
- Ericca
- · Replies 1 ·
Undergrad How to solve an exponential ciphers?
- sachiyo
- · Replies 3 ·
Graduate How Do Units Determine Norm Values in Rings?
- Jupiter
- · Replies 2 ·
High School How to Solve for Integers Modulo n?
- JJKorman1
- · Replies 4 ·
High School Why is 10 the Standard Base Number in Mathematics?
- steersman
- · Replies 15 ·
Graduate Understanding Group Orders: A Take Home Problem
- Wrench
- · Replies 4 ·
Graduate Are det(A) = 1 and A†A = I equivalent definitions of unitary matrices?
- turin
- · Replies 29 ·
Undergrad Prove any three vectors of R^3 are linear independent
- philipc
- · Replies 8 ·
Graduate Is 1 considered a prime number in a UFD?
- agro
- · Replies 10 ·
Undergrad Homogeneous Equation (easier question)
- n0_3sc
- · Replies 2 ·
Undergrad Equivalence relation and matrix from partition of {1,2,3,4,5}
- ptex
- · Replies 7 ·
Undergrad Solving Ax = b when A is not invertible
- n0_3sc
- · Replies 3 ·
High School Find the area of the original parallelogram
- travishillier
- · Replies 2 ·
Undergrad Sums of digits of Perfect Squares
- tommy05
- · Replies 25 ·
Graduate How Can You Partition Symmetry Groups Using the Multiplication Table Method?
- H-bar None
- · Replies 2 ·
Undergrad Guassian elimination and Inverse Matrix
- phantomAI
- · Replies 3 ·
Undergrad Geometric App's of Linear Algebra
- philosophking
- · Replies 10 ·
High School What Is the Term for Decomposing Numbers into Additive Combinations?
- jopux
- · Replies 2 ·
Undergrad Learning group theory basics
- climbhi
- · Replies 210 ·
High School Finding a Book on Basic Number Theory
- MC363A
- · Replies 2 ·
Graduate When does the max element divide the LCM of the rest?
- quddusaliquddus
- · Replies 15 ·
Graduate How do you determine conjugacy classes in the alternating group A_n?
- Jupiter
- · Replies 9 ·
Graduate What Are the Non-abelian Groups of a Given Order?
- Jupiter
- · Replies 4 ·
Undergrad Why are roots of x^6 + x^4 + x^2 + 1 = 0 among the 8th roots of unity?
- expscv
- · Replies 19 ·
Undergrad Why Is a Matrix Not Invertible When Its Determinant Is Zero?
- Jin314159
- · Replies 4 ·
Undergrad How Do I Solve a Quadratic Regression for a Helicopter Jump Trajectory?
- curiousguy
- · Replies 3 ·
High School Finding slope, y-intercept, and equation for insurance earnings function
- dmbeluke
- · Replies 3 ·
Undergrad Square matrices, determinants and consistency
- Asif
- · Replies 2 ·
Undergrad Prove That If rv = 0 Then Either r=0 or v=0
- broegger
- · Replies 5 ·
Graduate Proving subspace equality using Grassmann algebra brackets
- enigma
- · Replies 5 ·
Undergrad Proving the Only Solution to p is 3: A Simple Mathematical Proof
- MathematicalPhysicist
- · Replies 5 ·
High School Solve the Mystery: What is 9 times 7?
- bbg5000
- · Replies 3 ·
Undergrad Why am I getting determinant 0 with cofactor expansion on a 4x4 matrix?
- phantomAI
- · Replies 3 ·
Graduate Proof of Normal Subgroup Thm- Alternative Strategies
- Jupiter
- · Replies 11 ·
Finding the Largest Known Prime: M^2 is the Answer
- modmans2ndcoming
- · Replies 2 ·
Undergrad Calculating Value of Continued Fraction
- Hypercase
- · Replies 4 ·
Graduate Why do piecewise smooth function spaces require an infinite basis in PDEs?
- Ed Quanta
- · Replies 2 ·
Undergrad What Defines an Equivalence Relation?
- Ed Quanta
- · Replies 27 ·
Undergrad Proving t(n) Divisible by 3 Implies n is Divisible by 3
- Ed Quanta
- · Replies 6 ·
Graduate Geometric Progression of Prime Numbers
- UltraPi1
- · Replies 11 ·
Graduate Is the zeta function a complex mapping onto the infinite sum of 1/j^s terms?
- Janitor
- · Replies 2 ·
Undergrad How to Calculate a 3x3 Rotation Matrix around a Given Axis?
- yanyin
- · Replies 5 ·
High School Solving the Puzzle: Ann and Mary's Ages
- bamboozle
- · Replies 2 ·
High School What is the Largest Integer Factored into Two Primes?
- x_endlessrain_x
- · Replies 5 ·
Graduate Why do singular matrices appear in one-dimensional space quantization?
- Antonio Lao
- · Replies 12 ·
Undergrad Different coordinate system to sketch (x-2y)=sin(pi(x+y))
- yanyin
- · Replies 2 ·
Undergrad Man Cashes Cheque: Solve Assumptions to get Amount
- bamboozle
- · Replies 2 ·
High School Understanding x=pmodn: An Integer Modular Arithmetic Primer
- Ed Quanta
- · Replies 2 ·
Graduate Why does the recursive square root formula fail when n equals zero?
- Bob3141592
- · Replies 12 ·
Graduate Extended Fermat's last theorem.
- suyver
- · Replies 7 ·
Graduate Proof of the formula for the nth derivative of a product
- Ed Quanta
- · Replies 18 ·
Undergrad How Do I Proceed with Variable Row Reduction?
- stoffer
- · Replies 2 ·
Graduate A partial solution to the Goldbach Conjecture
- MathematicalPhysicist
- · Replies 7 ·
High School Can you easily invert 3 by 3 matrices using a simple formula?
- The Divine Zephyr
- · Replies 9 ·
Undergrad How Does Two-Digit Counting Work Across Different Number Bases?
- Digit
- · Replies 8 ·
Undergrad Is there always a prime between p and 2p + 2?
- Sariaht
- · Replies 18 ·
Undergrad Finding matrices for rotation, enlargement, shear and reflection of triangles
- Johnny Leong
- · Replies 9 ·
Undergrad Why is the cross product perpendicular to both original vectors?
- welle
- · Replies 42 ·
Graduate Inequality for divisor count in terms of prime factors
- MathNerd
- · Replies 2 ·
Undergrad Using the Euclidean Algorithm to Find Values for x and y in Linear Combinations?
- Caldus
- · Replies 1 ·
Undergrad Searching for Perfect Squares using the Pythagorean Theorem
- oen_maclaude
- · Replies 2 ·
Undergrad Understanding Irrational Numbers: Is it Possible to Exact Measure?
- nsnayak
- · Replies 4 ·
High School Solving simultaneous equations with different exponents
- Hypercase
- · Replies 9 ·
Graduate Find a linear differentiation transformation
- yanyin
- · Replies 5 ·
Undergrad Multiplication=addition 2*2=2+2=4
- MathematicalPhysicist
- · Replies 12 ·
Graduate Is A invertible if {v1, v2} and {Av1, Av2} are linearly independent sets?
- yanyin
- · Replies 2 ·
High School Coefficient of Friction: What is the Equation?
- Sarbear777
- · Replies 2 ·
Undergrad What is an isomorphism between two algebraic systems?
- wubie
- · Replies 10 ·