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 Why doesnt Bertrand's postulate imply Legendre's conjecture?
- camilus
- · Replies 20 ·
High School What are determinants useful for?
- StephenPrivitera
- · Replies 9 ·
Undergrad Please help me understand how to do this linear algebra proof
- soc4ward14
- · Replies 3 ·
Graduate Understanding Shankar's Principles of QM: Changing Basis of Operators
- Dead Boss
- · Replies 3 ·
Graduate Interesting method for prime discovery?
- glengarry
- · Replies 8 ·
Graduate Finding the Inv. of a rank deficient Matrix
- Shaddyab
- · Replies 8 ·
High School Putting an equation in quadratic form
- miahmad
- · Replies 2 ·
Graduate Finite Subset Max in Set S: Proof
- invisible_man
- · Replies 3 ·
Graduate Some help with a number theory problem
- herraotic
- · Replies 31 ·
Undergrad Geometric Constructible Numbers
- emptyboat
- · Replies 2 ·
Undergrad A Determinant's relation to permutations
- vjk2
- · Replies 1 ·
Graduate N^3 mod t covers all remainders?
- Gerenuk
- · Replies 21 ·
Undergrad Vector product VS dot product in matrix
- quietrain
- · Replies 6 ·
Graduate Proving Properties of an Ordered Ring: R+ & R
- invisible_man
- · Replies 2 ·
Undergrad Solving a system of linear equations with computer
- cb951303
- · Replies 14 ·
Graduate Determinant of a non-square matrix?
- GargleBlast42
- · Replies 5 ·
Graduate Prove Symmetric Matrixes Thm: A=0 or Skew Symmetric
- blue_m
- · Replies 2 ·
Undergrad Linear independence of orthogonal and orthonormal sets?
- Riemannliness
- · Replies 8 ·
Undergrad What Are the Mysteries of Boolean Algebra Beyond Binary Values?
- 0131313131313
- · Replies 3 ·
Graduate Eigenvalues and eigenvectors of a 3x3 matrix (principal stresses)[programming]
- xiss burg
- · Replies 8 ·
Undergrad How to express vector in sigma notation
- reckon
- · Replies 3 ·
Graduate Finiteness of a non-commutative ring
- xixi
- · Replies 5 ·
Undergrad Gcd(a,b,c)lcm(a,b,c)=abc => a,b,c relatively prime in pairs
- kingwinner
- · Replies 6 ·
Undergrad Basis for the indicated subspace
- 164694605
- · Replies 7 ·
Undergrad Can Matrix Addition Allow for Cancellation?
- johncena
- · Replies 1 ·
Graduate Finding All u in R for Field Extension Q(√2,³ √5) and Proving Equality
- cantgetit
- · Replies 1 ·
Undergrad How Can We Understand Division by Zero Through Logical Reasoning?
- luther_paul
- · Replies 16 ·
Graduate What is the Quotient Group S/S1?
- millwallcrazy
- · Replies 8 ·
Graduate Diagonal Linear Operator T in L(H): Examples
- Mikemaths
- · Replies 1 ·
Undergrad Why is the dimension of the vector space , 0?
- Dosmascerveza
- · Replies 7 ·
Graduate Solving Congruences: Proving a=b
- ninjagod123
- · Replies 5 ·
Graduate Why Don't All Inner Products Define the Same Vector Norm?
- Xyius
- · Replies 10 ·
Graduate What is the relationship between range and nullspace for projections?
- Felipe_
- · Replies 5 ·
Graduate Is a Linear Map Always Diagonalizable in This Context?
- jam12
- · Replies 6 ·
Undergrad Having difficulty understanding what the Range of a linear transformation is.
- phantomcow2
- · Replies 3 ·
Graduate How do I find all cosets in GL(n) for the set H={A in GL(n) | det(A) = 1}?
- logarithmic
- · Replies 6 ·
Graduate Is REQ a maximal left ideal with invertible matrix Q?
- xixi
- · Replies 4 ·
High School Understanding Null Space: A Layman's Explanation
- cragar
- · Replies 4 ·
Undergrad Tensor Algebra Examples for Mechanical Engineers: A Resource Guide
- bill nye scienceguy!
- · Replies 2 ·
Undergrad Mathematical notation to multiply matrix elements
- DyslexicHobo
- · Replies 5 ·
Undergrad Why Multiples of Three are Divisible by 3
- Char. Limit
- · Replies 5 ·
Graduate How Can a Symmetric Matrix Have 2 Eigenvectors with Only 1 Eigenvalue?
- jakey
- · Replies 4 ·
Graduate Dihedral group D5 - Symmetry of a Pentagon - Conjugacy classes
- IanC89
- · Replies 5 ·
Graduate Can induction be extended to the rationals?
- epkid08
- · Replies 2 ·
Graduate What is the Proof for the Jacobi Symbol Property (ii)?
- kingwinner
- · Replies 1 ·
Undergrad How to prove that if x^n*y=y*x^n, then x and y commute
- landor
- · Replies 5 ·
Graduate Are proofs of impossibility always flawed and limited?
- kenewbie
- · Replies 18 ·
Graduate Is There a New Formula for Prime Numbers?
- smslca
- · Replies 7 ·
Graduate How does Cantor's concept of infinity differ from the extended real numbers?
- Plaster
- · Replies 14 ·
Undergrad Euler's Thirty-six officers problem?
- tora
- · Replies 1 ·
Undergrad If a 3 x 4 matrix can have independent columns?
- Spyder89
- · Replies 3 ·
Graduate Which algebra vectors satisfy this (Trying to derive Schrödinger)
- Gerenuk
- · Replies 6 ·
Undergrad Is this matrix diagonalizable?
- scholesmu
- · Replies 1 ·
Graduate Are there any primes of the form 10^k + 1 above 101?
- RobinElliott
- · Replies 21 ·
Undergrad Solution to time offset vector equation?
- Xuser
- · Replies 3 ·
Graduate Calculating Volume of a Parallelepiped in R^n
- mbs
- · Replies 1 ·
Graduate Mapping Elements in Quotient Group G/N to Isomorphism f:G/N--H
- Phred Willard
- · Replies 1 ·
Graduate Sequence of definite positive matrices
- jem05
- · Replies 1 ·
Undergrad Converting a Vector Equation of a Plane to a Scalar Equation
- Chelly0704
- · Replies 2 ·
Graduate How Can You Measure the Distance Between Two Subspaces in Higher Dimensions?
- mnb96
- · Replies 2 ·
Undergrad How Do Subspaces and Orthogonality Relate in Linear Algebra?
- kdieffen
- · Replies 3 ·
Undergrad Prove that if A is upper triangular and B is the matrix
- DavidLiew
- · Replies 1 ·
Undergrad Polynomials in Zn[x]: Degree & n^2
- Phred Willard
- · Replies 6 ·
Undergrad Method for rotating data points in 3 dimensions
- Disputed
- · Replies 3 ·
Graduate Prove Wilson's theorem by Lagrange's theorem
- kingwinner
- · Replies 4 ·
Undergrad How to solve two equations involving complex variables?
- shaiqbashir
- · Replies 11 ·
Graduate Reversing Logarithmic Integral Function
- cameronm
- · Replies 2 ·
Undergrad Find Remainder with Fermat's Theorem
- jeedoubts
- · Replies 2 ·
Graduate Can Real Matrices Be Transformed into Complex Matrices Through Similarity?
- sweetiepi
- · Replies 1 ·
Graduate Is C Diagonalizable Given Its Eigenvalue Multiplicity?
- gutnedawg
- · Replies 1 ·
Undergrad Solving Equation from "Belt Problem": Find Alpha
- itchy8me
- · Replies 5 ·
Undergrad What is the point in calculating orthonormal bases for R3
- seand
- · Replies 2 ·
Graduate What are some recommended resources for self-studying random matrix theory?
- TheDoorsOfMe
- · Replies 1 ·
Graduate Most challenging problem from I. N. Herstein's Algebra Book
- karthikvs88
- · Replies 1 ·
Undergrad If n*n matrix, can row space ever be equal to null space?
- math_maj0r
- · Replies 5 ·
Graduate Is a Zero Principal Minor in PSD Matrices Indicative of Smaller Zero Minors?
- NaturePaper
- · Replies 1 ·
Graduate Proving Inequalities to Induction and Simplification
- Hobold
- · Replies 9 ·
Graduate How Can f and g Be Expressed Using Elementary Symmetric Polynomials?
- math_grl
- · Replies 3 ·
High School Is there an equation to find roots?
- Monkey Face
- · Replies 10 ·
Graduate Expansion of Fermat's Little Theorem
- pacdude9
- · Replies 4 ·
Undergrad The Equation of a Line in 3-Space
- Stephen10523
- · Replies 1 ·
Graduate A question on PSD (positive semidefinite) completion
- NaturePaper
- · Replies 2 ·
Undergrad Direct Sum/Product of Groups Clarification?
- shallumstuart
- · Replies 3 ·
Undergrad What is the inverse function of f(x) = c/x^(1/n)?
- roupam
- · Replies 6 ·
Undergrad Operator Equations: Add, Subtract, Multiply & Divide
- mpkannan
- · Replies 2 ·
Graduate Can Leading Principle Minors Determine Zero Elements in PSD Matrices?
- NaturePaper
- · Replies 1 ·
Graduate Another necessary condition for Positive Semidefiniteness?
- NaturePaper
- · Replies 5 ·
Graduate Convert Numbers to Rational Bases: An Example
- pseudogenius
- · Replies 4 ·
Undergrad Finding the base of numbers from a given equation
- kliker
- · Replies 5 ·
Graduate Proving the Properties of Subspace U⊥ in Rn | Help with Subspace Concepts
- icystrike
- · Replies 4 ·
Graduate Commutative and Associative Addition in Closed Sets: A Conceptual Explanation
- tirwit
- · Replies 12 ·
Graduate Number theory: Binary Quadratic Forms
- kingwinner
- · Replies 7 ·
Graduate Can Commuting Operators in a Hilbert Space Share a Common Set of Eigenvectors?
- hanch
- · Replies 1 ·
Graduate Question on the set of zero-divisors of a ring
- xixi
- · Replies 9 ·
Graduate Proving Sum-Free Sets: A Presentation
- Office_Shredder
- · Replies 5 ·
High School Why does the 'Number 9 Phenomenon' always work in integer systems?
- MrModesty
- · Replies 5 ·
Undergrad Is there a test for binary numbers divisible by 2^n - 1?
- kurtulmehtap
- · Replies 7 ·
Graduate Matrix Derivative: Solving for \partial_{x}[\det(\textbf{1}-\textbf{M})]
- guerom00
- · Replies 1 ·
Graduate Primitive Pyth. triples: Solutions of x^2 + y^2 = 2 z^2
- kingwinner
- · Replies 16 ·
Graduate Understanding Growth Order of Functions in Integral Equations
- zetafunction
- · Replies 1 ·