Linear and Abstract Algebra Forum

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.

Threads

Graduate How Can College Students Master the Math Behind Kalman Filters?

  • uglyoldbob
  • · Replies 3 ·
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3

Graduate Number of Solutions to d(p) vs F(n) Modulo Prime?

  • flouran
  • · Replies 14 ·
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14

Undergrad Midterm Practice: Find the last digit of a number

  • johnnyICON
  • · Replies 11 ·
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11

Undergrad Linear Combinations: Finding Vectors of (x,y)

  • hahatyshka
  • · Replies 1 ·
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1

Graduate A couple of Infinite Series questions

  • Ubinunc
  • · Replies 16 ·
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16

Undergrad Help using Cramer's rule to show properties of determinants

  • GimB0id
  • · Replies 4 ·
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4

High School What is a Parallel Unit Vector and How is it Calculated?

  • I_am_no1
  • · Replies 8 ·
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8

Graduate Landau Notation: Writing Functions in Terms of Other Functions

  • flouran
  • · Replies 3 ·
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3

Graduate Twin Prime Sieve - A Unique and Efficient Method for Generating Twin Primes

  • Rudy Toody
  • · Replies 5 ·
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5

Graduate How is Isomorphism Related to Cayley's Theorem?

  • alexandrabel
  • · Replies 1 ·
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1

Graduate Nice little proof, can any one do it?

  • rusticle
  • · Replies 5 ·
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5

Graduate Find a permutation of order 15 in S8.

  • Charles007
  • · Replies 5 ·
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5

Undergrad Linear transformation between bases

  • gothlev
  • · Replies 4 ·
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4

Graduate How to find just one permutation in s8

  • Charles007
  • · Replies 1 ·
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1

Undergrad Construction of lines from points

  • exmachina
  • · Replies 41 ·
2
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41

Graduate Group Action and a Cartesian Product

  • chaotixmonjuish
  • · Replies 4 ·
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4

High School Any one help. Adjugate of 2X2 matrix

  • Charles007
  • · Replies 4 ·
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4

Undergrad Consisity of non-homogenous systems of linear equations

  • Este
  • · Replies 5 ·
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5

Graduate What to make out of series like 1+2+3+ = -1/12 ?

  • guhan
  • · Replies 16 ·
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16

Graduate Must every linear operator have eigenvalues? If so, why?

  • ygolo
  • · Replies 16 ·
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16

Graduate How Can Eigenvalues and Eigenvectors Be Explained Geometrically?

  • bPawn
  • · Replies 1 ·
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1

Graduate Mystery equation written by an 8yr old

  • confusedmon
  • · Replies 8 ·
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8

High School Prove Square of Integer Ends in 0, 1, 4, 5, 6, 9

  • Martin Bashir
  • · Replies 2 ·
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2

Undergrad How Can I Understand 3D Rotation Matrices Like 2D?

  • likephysics
  • · Replies 1 ·
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1

Graduate Proof of inner product for function space

  • SFB
  • · Replies 3 ·
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3

Undergrad How Can I Differentiate Various Group Types in Algebra?

  • Charles007
  • · Replies 6 ·
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6

Graduate Solution Guide for Hoffman and Kunze Problems: Does it Exist?

  • CoachZ
  • · Replies 3 ·
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3

Graduate Conjugate of a matrix and of a function

  • DeepSeeded
  • · Replies 5 ·
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5

Graduate Norm of a Function vs. Length of a Vector

  • pr0me7heu2
  • · Replies 3 ·
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3

Graduate Hermitian inner product btw 2 complex vectors & angle btw them

  • raja0088
  • · Replies 1 ·
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1

Graduate Lorentz Force Equation: Geometric Interpretation

  • Somefantastik
  • · Replies 2 ·
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2

Undergrad Does Order Matter in Cyclic Subgroups/Groups?

  • Gear300
  • · Replies 4 ·
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4

Graduate What happens when I put cube and square doubles in a matrix?

  • noogies
  • · Replies 2 ·
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2

Graduate How can we use induction to prove that (xy)^{3} = y^{3}x^{3} for all x,y in G?

  • matticus
  • · Replies 2 ·
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2

Undergrad Prove that 12 | n^2-1 if g.c.d. (n,6)= 1.

  • Fisicks
  • · Replies 4 ·
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4

Graduate Getting comfortable with homological algebra

  • Tiger99
  • · Replies 2 ·
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2

Graduate Eigenvalue with multiplicity k resulting in k orthogonal eigenvectors?

  • el_llavero
  • · Replies 4 ·
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4

Graduate Polar Decompositions: Purpose of sqrt(T*T)

  • evilpostingmong
  • · Replies 2 ·
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2

Graduate Norm of a function ||f|| & the root mean square of a function.

  • squenshl
  • · Replies 2 ·
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2

Undergrad Fundamental Theorem of Arithmetic Problem

  • Fisicks
  • · Replies 14 ·
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14

Graduate Isomorphism (Fraleigh 7th: Section 5)

  • jeff1evesque
  • · Replies 8 ·
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8

Undergrad Confusing about linearity and nonlinearity

  • KFC
  • · Replies 2 ·
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2

Graduate Uniqueness Theorem for homogenous linear ODEs

  • Crosson
  • · Replies 5 ·
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5

Graduate Understanding the < > Notation for Subgroups: A Closer Look

  • Gear300
  • · Replies 4 ·
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4

Graduate Non-uniform bi-linear interpolation

  • ponjavic
  • · Replies 2 ·
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2

Graduate I dont get the point of pseudovectors

  • StatusX
  • · Replies 7 ·
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7

Undergrad LU Decomposition: Calculating Determinant of Square Matrix (Example Included)

  • demipaul
  • · Replies 1 ·
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1

Graduate How to Diagonalize a 9x9 Matrix with Unitary Vectors?

  • Ojisan
  • · Replies 6 ·
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6

Undergrad Null matrix and invertible matrix

  • seema283k
  • · Replies 1 ·
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1

Undergrad Geometrical interpretation of dot product (trying to prove)

  • Дьявол
  • · Replies 17 ·
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17

Graduate Verifying Noncyclic Abelian Subgroup of S4

  • Gear300
  • · Replies 6 ·
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6

Undergrad Innner products and basis representation

  • iontail
  • · Replies 5 ·
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5

Graduate How can I compute r from: c = g^m * r^N mod N^2

  • vanvincent
  • · Replies 5 ·
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5

Graduate What Is the Correct Form of the Cauchy-Schwarz Inequality?

  • EngWiPy
  • · Replies 10 ·
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10

Graduate Eigenvalues and eigenvectors of this matrix

  • shouvikdatta8
  • · Replies 1 ·
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1

Graduate Why is Ax in col(A) if (A^T)Ax=0

  • horefaen
  • · Replies 2 ·
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2

Graduate Reduce P = A(ATA)-1AT to P = BBT

  • squenshl
  • · Replies 1 ·
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1

Graduate What is the meaning of the subscript in the polygamma function?

  • rman144
  • · Replies 1 ·
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1

Graduate What Is a Lie Group Without an Identity Matrix Called?

  • Pythagorean
  • · Replies 3 ·
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3

Graduate Projection Matrix: P=A(ATA)^-1AT & P=BBT

  • squenshl
  • · Replies 2 ·
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2

Undergrad How to find two endpoints of a line?

  • rakeshthp
  • · Replies 5 ·
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5

Graduate What Are the Key Properties of Hyperreal Numbers?

  • Phrak
  • · Replies 10 ·
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10

Graduate Conjecture:fundamental mathematical group

  • SW VandeCarr
  • · Replies 71 ·
3
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71

Graduate Transformation to flip handedness of a 4-vector

  • Gza
  • · Replies 2 ·
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2

Undergrad Column Space and Pivot Columns in Reduced Matrices

  • horefaen
  • · Replies 1 ·
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1

Undergrad Simple Proof Check - Number Theory

  • Fisicks
  • · Replies 4 ·
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4

Graduate Question about the definition of a vector space

  • AxiomOfChoice
  • · Replies 9 ·
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9

Undergrad Is it possible to determine if a number is a perfect square in different bases?

  • srijithju
  • · Replies 5 ·
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5

Graduate Why Are SU(3) Generators Traceless and Limited to Two Diagonal Matrices?

  • jacobrhcp
  • · Replies 6 ·
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6

Undergrad How can I find an endorser for my prime number papers on ArXiv?

  • Lecopantica
  • · Replies 3 ·
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3

Undergrad How can a column represent a vector in linear algebra?

  • vijay_singh
  • · Replies 4 ·
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4

Graduate Proving the Finiteness of Fermat Primes

  • chhitiz
  • · Replies 27 ·
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27

Graduate Is the only difference between functions just a change of basis?

  • Monocles
  • · Replies 1 ·
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1

Undergrad Is There Always a Prime Number Between n and n! for n>2?

  • theIBnerd
  • · Replies 8 ·
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8

Graduate Can We Obtain the Form of L from Z(u)?

  • zetafunction
  • · Replies 1 ·
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1

Graduate I came across this Proposition in my book, and I know it's something

  • lttlbbygurl
  • · Replies 1 ·
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1

High School How do i get the point of intersection of a line and a circle?

  • rakeshthp
  • · Replies 3 ·
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3

High School Solving Linear Equations: Expanding Brackets, Subbing Values

  • TheAkuma
  • · Replies 8 ·
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8

Graduate Irreducible Representations of so(4,C)

  • aziz113
  • · Replies 2 ·
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2

Graduate Numerical algorithms for finding an eigenvector

  • jostpuur
  • · Replies 4 ·
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4

Graduate Can someone with access to Shankar's QM book help me (vector spaces)?

  • AxiomOfChoice
  • · Replies 1 ·
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1

Undergrad Is a symmetric matrice allways nonsingular?

  • hyper
  • · Replies 1 ·
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1

Graduate Proving Real Numbers, Pythagorean Triples & Squares

  • JanClaesen
  • · Replies 14 ·
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14

Undergrad Matrix determinant operator commutative?

  • el_llavero
  • · Replies 3 ·
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3

Graduate Proving Self-Adjointness in Finite-Dimensional Vector Spaces with Inner Products

  • evilpostingmong
  • · Replies 8 ·
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8

Graduate Proof of Schwarz Inequality: Axioms & Complex Numbers

  • Rasalhague
  • · Replies 6 ·
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6

Graduate Clifford Algebra: Representing Vectors & Projecting to Euclidean

  • PeteKH
  • · Replies 4 ·
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4

Graduate Optimal division of a matrix for processing

  • sam_wilson
  • · Replies 4 ·
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4

Undergrad Group (Associativity of Binary Operators)

  • jeff1evesque
  • · Replies 1 ·
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1

Undergrad Why Is QQ^T Singular for a Matrix with Orthonormal Columns?

  • hotvette
  • · Replies 5 ·
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5

Graduate Coprime pythagorean quadruples or higher tuples?

  • JesseM
  • · Replies 4 ·
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4

Graduate Show every group of order 77 has elements of order 7 and 11

  • matticus
  • · Replies 8 ·
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8

Undergrad What is the Quotient Group A/B?

  • pellman
  • · Replies 2 ·
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2

Graduate Legendre and Riemann: A Conjecture Comparison

  • daniel tisdal
  • · Replies 6 ·
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6

Graduate Relating to Duality in Vector Spaces

  • mosenja
  • · Replies 7 ·
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7

Undergrad Number Theory integer roots Problem

  • pzona
  • · Replies 16 ·
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16

Undergrad Intermediate Ratio: Proof & Name

  • Helios
  • · Replies 1 ·
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1

Graduate Website title: Finding Rotation Matrices for Arbitrary Angle Rotations in R^3

  • owlpride
  • · Replies 4 ·
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4

Graduate What is a Linear Manifold and How Does it Differ from a Subspace?

  • junglebeast
  • · Replies 2 ·
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2

Undergrad Proving Eigenspace Correspondence for Similar Matrices

  • jon555
  • · Replies 2 ·
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2