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 Is My Integer Factorization Algorithm Flawed?
- visu
- · Replies 9 ·
Graduate What Is the Tensor Product of Vector Spaces?
- Fredrik
- · Replies 33 ·
Graduate Proving the 2:1 Ratio of a Triangle's Medians at the Centroid Using Vectors
- pjallen58
- · Replies 1 ·
Undergrad Casey's thread of annoying Linear Algebra questions
- Saladsamurai
- · Replies 7 ·
Graduate Verifying a Finite Non-Abelian Group with Set of 2x2 Matrices Modulo p
- noisysignal
- · Replies 7 ·
Undergrad Linear programming bank assets problem
- Dr Zoidburg
- · Replies 3 ·
Graduate Iteration of Euler's phi function
- huba
- · Replies 1 ·
Undergrad Formally Proving the Invariance of Solutions in Gaussian Elimination
- adartsesirhc
- · Replies 1 ·
Undergrad Using an accelerometer to measure speed
- lucvh
- · Replies 3 ·
Graduate What Structure Must G Have for All Aut(G) Elements to Send N to N
- eastside00_99
- · Replies 5 ·
Graduate Sum of Reciprocals of Prime Numbers Equals 1
- Borek
- · Replies 3 ·
Graduate Sum of Primes < n Formula - Pseudot's Research
- pseudot
- · Replies 1 ·
Graduate Finding the face of an icosahedron in which a vector falls in
- machete
- · Replies 4 ·
Undergrad Predicting the Period of Recurring Decimals in Rational Numbers
- gmax137
- · Replies 5 ·
Graduate Solvable polynomial definition problem
- jostpuur
- · Replies 5 ·
Undergrad What to do with a zero column in a system of linear equations?
- JinM
- · Replies 4 ·
Graduate The (i,j)-minor of a matrix: multilinear map?
- quasar987
- · Replies 2 ·
Graduate Lang's Algebra Ch 1 Problem 12(c): Ambiguous Group Law
- eastside00_99
- · Replies 2 ·
Graduate Way to generalize the relationship between T and T^2?
- mind0nmath
- · Replies 9 ·
Graduate Cardinality of a basis of an infinite-dimensional vector space
- andytoh
- · Replies 7 ·
Graduate What Are Some Examples of Isomorphic Vector Spaces with Different Dimensions?
- Markjdb
- · Replies 5 ·
Undergrad Conjugacy in Algebra: Why Does a=g^-1bg Occur?
- tgt
- · Replies 2 ·
Undergrad Is u + v in U if u and v are elements of V but not in U?
- zenn
- · Replies 1 ·
Undergrad How Do We Calculate (f O g) for Given Functions and Set A?
- aaa59
- · Replies 4 ·
High School Understanding Stirling's Formula: The Bent Equals Sign Explained
- PageWizard
- · Replies 11 ·
Undergrad How many ways we can represent 50 as the sum of two primes?
- hadi amiri 4
- · Replies 1 ·
High School How Can Vector Math Be Fun and Engaging for Students?
- a.a
- · Replies 1 ·
Graduate Generalized eigenspace invariant?
- mind0nmath
- · Replies 2 ·
Graduate The module is injective iff it is a direct summand of an injective cogenerator
- ggugl
- · Replies 1 ·
Graduate Proving Cauchy-Schwarz Inequality: My Dumb Question
- Fredrik
- · Replies 4 ·
Graduate Proving R^n Can Be a Field: The n>2 Case
- dreamtheater
- · Replies 3 ·
Graduate Vector Spaces: Real Numbers Over Rational Numbers
- arunkp
- · Replies 2 ·
Graduate How many whole numbers c make x^2 + c a multiple of 2^2007?
- al-mahed
- · Replies 6 ·
Graduate Geometric Algebra: Signs of electromagnetic field tensor components?
- Peeter
- · Replies 10 ·
Graduate Simple counterexample for claim about integral domains
- SiddharthM
- · Replies 6 ·
Graduate Program for graphing Riemann zeta function
- donotremember
- · Replies 4 ·
Graduate Minimum Number of Distinct Values for a Polynomial over a Finite Field
- korollar
- · Replies 8 ·
High School I'm in need of an algebra refresher course.
- kts123
- · Replies 14 ·
Undergrad How to Study for an Algebra Test on Vectors and Matrices?
- CGUE
- · Replies 3 ·
Undergrad Finding Constants for Linear Dependence in 3D Vectors
- bryanosaurus
- · Replies 4 ·
Undergrad Understand the Difference Between Trivial and Non-Trivial Solutions
- K3nt70
- · Replies 2 ·
Graduate What Are Cyclic Quadratic Residues and Their Sums Modulo Prime Numbers?
- ramsey2879
- · Replies 2 ·
Graduate Positive Operator: Why Is \sqrt{A^*A} Positive?
- Dragonfall
- · Replies 3 ·
Graduate Proving a Property of Quadratic Nonresidues in Prime Numbers
- RichardCypher
- · Replies 15 ·
Graduate How can I calibrate an accelerometer with unequal sensitivity between axes?
- mgeerts
- · Replies 5 ·
Undergrad What Are Canonical Coordinates and How to Convert a Basis in R^2?
- bullsangelsra
- · Replies 2 ·
High School Difference between scalars and vectors
- brandy
- · Replies 4 ·
Undergrad I am looking for some help on a little matrix/determinant problem please?
- jeebs
- · Replies 2 ·
Graduate Normal nxn Matrices: 1 Eigenvalue Case (Complex #s)
- mind0nmath
- · Replies 6 ·
Graduate Which Elements Belong in H? [SOLVED] Question about a Subset of Z
- DavidWhitbeck
- · Replies 3 ·
Graduate Proving Conjectures About the Binet Formula for Q(\sqrt{k})
- dodo
- · Replies 3 ·
Graduate Show How to Write A as B + iC: Hermitian Operators
- Dragonfall
- · Replies 2 ·
Graduate Is the Trace of a Nilpotent Matrix Always Zero?
- jostpuur
- · Replies 10 ·
Graduate Prove by induction that 2^1/2 is irrational.
- viren_t2005
- · Replies 23 ·
Graduate Difference between the outer product
- Dragonfall
- · Replies 3 ·
Graduate Finding an affine transformation matrix
- chroot
- · Replies 5 ·
Graduate Show a polynomial of degree n has at most n distint roots
- math8
- · Replies 2 ·
Graduate Can Fibonacci Sequences Be Proven Using This Conjecture?
- ramsey2879
- · Replies 4 ·
Undergrad Parabola Question: Verifying Solution with Multiple Methods
- sourpatchkid
- · Replies 5 ·
Undergrad Solve Problem w/ Two Phase Method: Max Z
- peteryellow
- · Replies 2 ·
Graduate Geometric algebra: longitude and latitude rotor ordering?
- Peeter
- · Replies 1 ·
Undergrad Linearly Independent Columns of a Matrix
- sajama
- · Replies 4 ·
Graduate Question about Gelfand-Naimark
- neworder1
- · Replies 8 ·
Undergrad Properties of Inverse Matrices
- tigger1989
- · Replies 5 ·
Graduate Primitive roots - annoying problem
- RichardCypher
- · Replies 4 ·
Graduate Why Is Ran(A - λI) an Invariant Subspace of A?
- krcmd1
- · Replies 20 ·
High School What does this equation mean to you?
- Willowz
- · Replies 7 ·
Undergrad Can a Change of Basis Simplify Linear Problems?
- computerages
- · Replies 2 ·
Undergrad Standard Matrices for Polynomial Derivatives and Integrals up to Degree 4?
- computerages
- · Replies 1 ·
Undergrad Angle between two lines in space
- Physicsissuef
- · Replies 5 ·
Graduate Some Galois Theory: Degree of elements in Q
- Evariste123
- · Replies 18 ·
Graduate Efficient Computation of Congruence Solutions and Generating Functions
- mhill
- · Replies 5 ·
Graduate Solving Transition Matrix: Find Coefficients of B to B
- Laney5
- · Replies 1 ·
Graduate Bases of Generalized Eigenvectors
- quasar_4
- · Replies 3 ·
Undergrad Understanding Reflection Matrices and Visualizing Transformations
- Hevonen
- · Replies 16 ·
Graduate Simple problem using eigenvalue/eigenvector
- iliketopology
- · Replies 8 ·
Graduate Is Floor(x)/y Always Equal to Floor(x/y) When y Is an Integer?
- jaw088
- · Replies 5 ·
Graduate Does GCD Condition Prove Multiplicative Order?
- HF08
- · Replies 13 ·
Undergrad Is There a Number N That is Neither Rational nor Irrational?
- arbol
- · Replies 40 ·
Graduate Uncovering Abundant Numbers: My University Research
- RocketSurgery
- · Replies 6 ·
Undergrad Isomorphism Question: Struggling with Engineering Maths - Need Help!
- havnek
- · Replies 6 ·
Undergrad Systems of linear inequalities
- sid_galt
- · Replies 2 ·
Graduate What Functions in Lp Spaces Satisfy the Transformative Integral Equation?
- mmzaj
- · Replies 16 ·
Graduate What is the simplicity of the Special Linear Lie Algebra?
- heras1985
- · Replies 2 ·
Graduate What is the relationship between ker(A) and ker(A^TA)?
- johndoe3344
- · Replies 3 ·
Undergrad An eigen decomposition problem in programming
- Asuralm
- · Replies 1 ·
Graduate Reconstructing Kite Position and Rotation from a Single Camera Image
- velcrome
- · Replies 2 ·
Graduate What is the significance of the sopfr function in these cycles?
- erszega
- · Replies 9 ·
Graduate Prove N_{G}(H) is a Subgroup of G
- titaniumx3
- · Replies 7 ·
Undergrad How does the reflection formula for vectors work?
- Icosahedron
- · Replies 3 ·
Graduate Positive Definite Matrices eigenvalues
- angelz429
- · Replies 2 ·
Graduate Can QR Method Accurately Approximate Eigenvalues? [SOLVED]
- angelz429
- · Replies 1 ·
Graduate Solving Nilpotent Matrices: Use McLaurin Series to Show Invertibility
- angelz429
- · Replies 1 ·
Undergrad What is the proof for the similarity of two matrices having the same rank?
- vdgreat
- · Replies 1 ·
Graduate What are the properties of ideals in a commutative ring with identity 1?
- wegmanstuna
- · Replies 3 ·
Graduate Prove that if and [j] are equivalence classes modulo
- leilei
- · Replies 2 ·
Graduate Showing null space and range are invariant
- adottree
- · Replies 2 ·
Graduate RIemann-Weyl formula and application
- mhill
- · Replies 2 ·
Undergrad Can u understand my business coursework?
- Aaron792
- · Replies 2 ·
High School Algebraic expressions - simplifying
- Rationalist
- · Replies 3 ·