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

High School What Is an Integer Coefficient of Degree n in a Polynomial?

  • shihabdider
  • · Replies 2 ·
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2

Understanding Dominant Matrices for Year 11 Students

  • Zashmar
  • · Replies 3 ·
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3

Graduate Are generators preserved under homomorphism?

  • dumbQuestion
  • · Replies 2 ·
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2

Undergrad Quadratic Forms: Beyond Sketching Conics

  • matqkks
  • · Replies 5 ·
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5

Graduate Are There Any Other Prime Solutions to the Equation x(x+1)+y(y+1)=z(z+1)?

  • secretchord
  • · Replies 2 ·
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2

P's question at Yahoo Answers (Determinant of order n)

  • Fernando Revilla
  • · Replies 1 ·
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1

Undergrad Largest Prime Number Found: 17,425,170 Digits Long

  • Astronuc
  • · Replies 6 ·
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6

Graduate Proving ABC^TA^-1 = CB: Step-by-Step Guide

  • MikeLowri123
  • · Replies 7 ·
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7

Graduate Solve SU(2) Parametrization Problem w/ Westra's PDF

  • yoreh
  • · Replies 1 ·
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1

Graduate Factoring Method: Learn How to Use It

  • Jopus
  • · Replies 7 ·
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7

Undergrad Why is the cross product perpendicular?

  • JizzaDaMan
  • · Replies 3 ·
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3

Solve Equation 5x - ||v|| v = ||w||(w-5x)

  • Fernando Revilla
  • · Replies 3 ·
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3

Best method for LU decomposition

  • Jameson
  • · Replies 4 ·
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4

Graduate What Are the Strangest Vector Spaces You Can Imagine?

  • johnqwertyful
  • · Replies 4 ·
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4

Graduate Block matrix transformation of specific form

  • SNicolas
  • · Replies 3 ·
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3

Undergrad Is taking the square value of a dot product a valid mathematical operation?

  • Eats Dirt
  • · Replies 3 ·
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3

Matteo's question at Yahoo Answers (change of basis)

  • Fernando Revilla
  • · Replies 1 ·
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1

Undergrad Determine if vector b is a linear combination of vectors a1, a2, a3.

  • roids
  • · Replies 7 ·
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7

Undergrad How can I understand the equation for bicubic interpolation?

  • Hypatio
  • · Replies 8 ·
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8

Undergrad What is a Convex Hull and How Does it Relate to Positive Definite Objects?

  • Tenshou
  • · Replies 4 ·
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4

Undergrad Is A=5 and A=x Linear Operators?

  • matematikuvol
  • · Replies 6 ·
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6

Graduate Orthonormal basis functions for L^2(R)

  • mnb96
  • · Replies 2 ·
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2

Real-life applications of quadratic forms

  • matqkks
  • · Replies 2 ·
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2

Undergrad Proving identities with nested radicals and infinite series

  • guysensei1
  • · Replies 2 ·
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2

Veronica's question at Yahoo Answers (determinants)

  • Chris L T521
  • · Replies 1 ·
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1

DSphery's question at Yahoo Answers (matrix powering question)

  • Fernando Revilla
  • · Replies 1 ·
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1

Jonathan's question at Yahoo Answers ( span ( H ) )

  • Fernando Revilla
  • · Replies 1 ·
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1

Undergrad List the things f has to do to be a homomorphism

  • Bachelier
  • · Replies 14 ·
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14

Undergrad Why are these functions commutatives?

  • SqueeSpleen
  • · Replies 2 ·
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2

Tyler's question at Yahoo Answers (linear independence)

  • Fernando Revilla
  • · Replies 1 ·
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1

Undergrad Not Satisfied with Linear Algebra Theorem

  • Vorde
  • · Replies 8 ·
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8

Undergrad Mapping an isomorphism b/w 2 grps

  • Bachelier
  • · Replies 6 ·
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6

Graduate Log expansion for infinite solenoid

  • Shinobii
  • · Replies 3 ·
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3

Undergrad Why is a matrix singular if the determinant is zero?

  • brownman
  • · Replies 8 ·
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8

Graduate Finding which direct sum of cyclic groups Z*n is isomorphic to

  • dumbQuestion
  • · Replies 2 ·
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2

IADPCFEVER's question at Yahoo Answers (projection and linear transformation)

  • Fernando Revilla
  • · Replies 1 ·
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1

Surjective and injective linear map

  • Fernando Revilla
  • · Replies 1 ·
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1

Which one of these two statements is wrong ?

  • Yankel
  • · Replies 4 ·
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4

Raghav's question at Yahoo Answers (axioms of vector space)

  • Fernando Revilla
  • · Replies 1 ·
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1

Graduate Efficient way to find which element of Z*n has largest order?

  • dumbQuestion
  • · Replies 5 ·
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5

Graduate What Are Graded Groups and How Do Generators and Degrees Function Within Them?

  • Tenshou
  • · Replies 2 ·
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2

Linear Independence: Solving u,v,w Vector Questions

  • Yankel
  • · Replies 2 ·
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2

Undergrad Are 'lists' and vectors the same thing?

  • autodidude
  • · Replies 5 ·
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5

Undergrad Is every matrix diagonalizable if we allow complex entries?

  • McLaren Rulez
  • · Replies 4 ·
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4

Yont's question at Yahoo Answers (eigenvector)

  • Fernando Revilla
  • · Replies 3 ·
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3

Undergrad Challenging System of Equations (4 Variables)

  • Chelonian
  • · Replies 19 ·
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19

Prime Ideals and Maximal Ideals

  • Math Amateur
  • · Replies 4 ·
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4

Proof about inner automorphism of a group

  • i_a_n
  • · Replies 9 ·
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9

Graduate Pisano Periods - Fibonacci Numbers mod p

  • LDP
  • · Replies 5 ·
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5

Graduate Can this number theory problem be solved purely algebraically?

  • Wiz14
  • · Replies 3 ·
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3

Undergrad What is the definition of a 'true vector'?

  • JonDrew
  • · Replies 6 ·
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6

Convert Files: Change Formats Easily

  • lmk
  • · Replies 1 ·
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1

Linear Map Problem: Proving Equivalence of a & b

  • Fernando Revilla
  • · Replies 1 ·
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1

High School Explaining Missing Decimal Numbers 3, 6 & 9 in Calculations

  • Hippasos
  • · Replies 3 ·
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3

Graduate The rank of a block matrix as a function of the rank of its submatrice

  • GoodSpirit
  • · Replies 2 ·
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2

C.'s question at Yahoo Answers (orthogonality).

  • Fernando Revilla
  • · Replies 1 ·
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1

Graduate Is the Mean of a Sum of Randomly Chosen Numbers Always 1?

  • suyver
  • · Replies 6 ·
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6

Undergrad Geometrical Interpretation of V in Span S

  • Nano-Passion
  • · Replies 7 ·
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7

Undergrad Existence of a function for the n-th prime

  • clint222
  • · Replies 6 ·
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6

Graduate Does Z*(n) always have a generator?

  • dumbQuestion
  • · Replies 5 ·
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5

The union of an ascending chain of subgroups is a subgroup

  • i_a_n
  • · Replies 7 ·
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7

Graduate Square root of a squared block matrix

  • GoodSpirit
  • · Replies 2 ·
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2

Undergrad What kind of form is this general solution of a system?

  • brownman
  • · Replies 1 ·
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1

High School Solving for x in y = Tan(x): A Last Resort

  • AtlasSniperma
  • · Replies 2 ·
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2

Equation of Plane after Coordinate Transformation

  • Dustinsfl
  • · Replies 1 ·
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1

Emeril's question at Yahoo Answers (invariant subspace).

  • Fernando Revilla
  • · Replies 1 ·
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1

Graduate Can Vector Units Be Simplified or Must Each Element Carry Units?

  • sandy.bridge
  • · Replies 8 ·
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8

Graduate Proof of square root 3 irrational using well ordering

  • bonfire09
  • · Replies 5 ·
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5

Graduate Is the Term Vector Space Misleading Without Magnitude and Direction?

  • TrickyDicky
  • · Replies 19 ·
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19

Undergrad Regarding transpose of matrix products

  • MoreDrinks
  • · Replies 5 ·
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5

Graduate How is rotation mathematically defined beyond the rotation matrix?

  • aaaa202
  • · Replies 4 ·
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4

Graduate What Is an Affine Space? Explained in Detail

  • Tenshou
  • · Replies 18 ·
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18
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1

Graduate Finding roots to a recursively defined polynomial of degree n

  • Jack Jenkins
  • · Replies 18 ·
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18

Cutiee pie's question at Yahoo Answers (dimension of eigenspaces).

  • Fernando Revilla
  • · Replies 1 ·
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1

Graduate Mahalanobis Distance using Eigen-Values of the Covariance Matrix

  • orajput
  • · Replies 2 ·
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2

Undergrad How Do Generators {2, 3} Form Z6?

  • ma3088
  • · Replies 1 ·
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1

Tensor multiplication 3 dimesnsions

  • Dustinsfl
  • · Replies 4 ·
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4

Graduate How Can We Achieve the Tensor Product of Two Vector Spaces?

  • ShayanJ
  • · Replies 1 ·
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1

Graduate How to express a vector using a non-basis family

  • math6
  • · Replies 2 ·
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2

Undergrad What does the Eigenvalue of a linear system actually tell you?

  • newclearwintr
  • · Replies 6 ·
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6

Indicial notation - Levi-Cevita and Tensor

  • jasonmcc
  • · Replies 1 ·
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1

K-Algebra - Meaning and background of the concept

  • Math Amateur
  • · Replies 1 ·
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1

Graduate Narcissistic/Plus Perfect/Armstrong

  • bahamagreen
  • · Replies 3 ·
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3

Undergrad Finding an eigenvector of 3x3 matrix

  • enc08
  • · Replies 8 ·
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8

Graduate What is a k-algebra and what are examples?

  • Math Amateur
  • · Replies 1 ·
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1

Undergrad Is Multiplication Defined in This Field Sufficient for ℂ to be a Field?

  • Bachelier
  • · Replies 4 ·
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4

Undergrad Rotation,angle of vector from axes ?

  • atrus_ovis
  • · Replies 11 ·
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11

How to Expand and Simplify the Expression of Kronecker Delta?

  • jasonmcc
  • · Replies 3 ·
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3

Graduate Algebraic structure of Dirac delta functions

  • friend
  • · Replies 3 ·
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3

Undergrad For the transposition (i j)(k), this is what I have in my

  • Artusartos
  • · Replies 2 ·
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2

Graduate Semidirect Product Page 5 - Honors Brown

  • Artusartos
  • · Replies 4 ·
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4

Sarah Morash's question at Yahoo Answers about eigenvalues

  • Fernando Revilla
  • · Replies 1 ·
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1

Graduate Group Actions: Prime Divisors & Smallest Prime | Dummit & Foote

  • Maths Lover
  • · Replies 6 ·
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6

Communitative ring, map R / ( I /\ J) -> R/I x R/J

  • Fernando Revilla
  • · Replies 4 ·
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4

Graduate Question on Lie group regular actions

  • mnb96
  • · Replies 2 ·
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2

Indicial Notation: $\mathbf{v}\cdot\mathbf{v} = a^2b^2\sin^2\theta$

  • Dustinsfl
  • · Replies 10 ·
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10

Graduate Solve Mysterious Number Sequence Puzzle

  • numbersman
  • · Replies 2 ·
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2

Graduate Show Injectivity of Mapping y=Ax for Finite Alphabet w/o Search Algorithm

  • acco40
  • · Replies 3 ·
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3

Graduate When is the kernel of a linear operator closed?

  • AxiomOfChoice
  • · Replies 1 ·
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1