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

Undergrad Struggling with Linear Algebra? Need more practice problems and answers?

  • MtHaleyGirl
  • · Replies 7 ·
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7

Graduate Inconsistent Inner Product Definitions

  • cepheid
  • · Replies 1 ·
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1

Graduate Finding Roots and Order of an Integer: Two Problems in Number Theory

  • buzzmath
  • · Replies 3 ·
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3

High School Number theory books for self-study with no background

  • murshid_islam
  • · Replies 6 ·
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6

Undergrad What Are Primitive Roots and Why Are They Important?

  • buzzmath
  • · Replies 5 ·
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5

Graduate What is the level of difficulty in understanding Gregory Chaitin's Meta Math?

  • Hacky
  • · Replies 5 ·
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5

Graduate Are Alternative Prime Sequences Easier to Predict Than Traditional Primes?

  • -Job-
  • · Replies 17 ·
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17

Graduate Why is the 2-norm of A^k equal to 2-norm of T^k?

  • vabamyyr
  • · Replies 2 ·
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2

High School Is .99 Repeating Truly Equal to 1?

  • raven1
  • · Replies 11 ·
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11

High School Calculating Pi: Find Reliable Measurments

  • Dawguard
  • · Replies 3 ·
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3

Graduate A problem like Fermat's Last Theorem

  • kmarinas86
  • · Replies 15 ·
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15

Graduate Is Conjugate Symmetry Enough for a Hermitian Inner Product?

  • Treadstone 71
  • · Replies 2 ·
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2

Graduate How to Solve Group Theory Problems and Understand Underlying Concepts?

  • AKG
  • · Replies 4 ·
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4

Graduate Solve a^2 + b^2 = c^3: Integer Solutions

  • frax
  • · Replies 8 ·
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8

Graduate Does the Limit of Unioned Fractions Equal the Rationals in [0,1]?

  • bomba923
  • · Replies 26 ·
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26

Graduate RSA decryption with e=5, n=2881 and Hastad's broadcast attack

  • buzzmath
  • · Replies 1 ·
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1

Undergrad Linear Algebra Texts Recommended for Rigorous Approach

  • JasonRox
  • · Replies 47 ·
2
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47

Graduate Ring Theory: Introduction and Beyond

  • ziad1985
  • · Replies 3 ·
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3

Graduate Sylow first thm and normal subgroups

  • math-chick_41
  • · Replies 10 ·
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10

Graduate Classify all groups of order 147

  • Palindrom
  • · Replies 4 ·
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4

Undergrad How many possible menus can be created with 10 foods from 4 categories?

  • majorlag
  • · Replies 2 ·
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2

Undergrad For what values of x is √(x!+1) a perfect square?

  • roger
  • · Replies 10 ·
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10

Undergrad What can I expect from a course in Abstract Linear Algebra?

  • JasonRox
  • · Replies 3 ·
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3

Graduate Does the Addition of Subspaces Always Result in Unique Additive Identities?

  • Treadstone 71
  • · Replies 17 ·
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17

Graduate Algorithmic complexity of primes

  • DavidK
  • · Replies 1 ·
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1

Graduate Finding the minimal polynomial of a 3×3 matrix

  • vabamyyr
  • · Replies 10 ·
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10

Graduate How Is the Primary Decomposition Theorem Known in Various Mathematical Texts?

  • Treadstone 71
  • · Replies 3 ·
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3

Undergrad Group theory textbooks with lots of worked examples

  • ElDavidas
  • · Replies 8 ·
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8

Graduate Proving Functions: The Relationship Between Onto and 1-to-1 Properties

  • SqrachMasda
  • · Replies 7 ·
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7

Graduate Space Complexity of Number-theoretic Algorithms

  • nworm
  • · Replies 8 ·
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8

Graduate Proofs of Group Theory for Theoretical Physicists - Daniel

  • dextercioby
  • · Replies 1 ·
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1

Undergrad Is Lambda an Eigenvalue of A in the Cayley-Hamilton Theorem Proof?

  • vabamyyr
  • · Replies 7 ·
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7

Undergrad Coding theory & cryptography books

  • murshid_islam
  • · Replies 3 ·
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3

Undergrad Is p1*p2*...*pn±1 always prime when p1,...,pn are primes?

  • Aditya89
  • · Replies 17 ·
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17

Undergrad Understanding Transcendal Numbers: Importance and Examples

  • ziad1985
  • · Replies 5 ·
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5

Undergrad Towers of integers and divisibilty by 11

  • scottyk
  • · Replies 9 ·
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9

Graduate Is it Valid to Use Congruences to Show No Solution for Fermat's Last Theorem?

  • srgut
  • · Replies 4 ·
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4

Undergrad Is the Inverse of a Diagonal Matrix Simply the Inverse of Its Elements?

  • asdf1
  • · Replies 3 ·
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3

High School What is null space in plain English?

  • asdf1
  • · Replies 8 ·
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8

Undergrad I was reading simon singh's the code book

  • murshid_islam
  • · Replies 7 ·
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7

Undergrad Non integer square roots and pi = irrational?

  • Leonardo Sidis
  • · Replies 54 ·
2
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54

Graduate How Is Symmetric Algebra Isomorphic to a Free Commutative R-Algebra?

  • bombo1
  • · Replies 2 ·
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2

Graduate Infinite number of open intervals

  • Kocur
  • · Replies 18 ·
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18

Graduate Moduloid - Abelian Unital Magma

  • Tom Piper
  • · Replies 4 ·
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4

Graduate Max Trace of U(N) Matrices: A Complex Problem

  • DavidK
  • · Replies 1 ·
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1

Graduate Proof of the Left Distributive Law for matrices.

  • Faizan Sheikh
  • · Replies 3 ·
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3

Undergrad Ancient puzzle, solved by abstract algebra?

  • MathematicalPhysicist
  • · Replies 3 ·
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3

Graduate Is $\forall p,q,r \in \mathbb{N}$ Satisfiable?

  • bomba923
  • · Replies 11 ·
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11

Graduate What are T2-Spaces and Separability in Topology?

  • JasonRox
  • · Replies 44 ·
2
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44

Graduate How Do You Construct a [4, 7^2, 3] Code Using MOLS?

  • SomeRandomGuy
  • · Replies 4 ·
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4

Graduate Representation theory of Lie groups on rigged Hilbert spaces

  • dextercioby
  • · Replies 1 ·
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1

Graduate How does one compute the number of ring homomorphisms

  • Treadstone 71
  • · Replies 3 ·
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3

Undergrad Forgot some defintions on norms

  • Zurtex
  • · Replies 9 ·
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9

Undergrad Understanding Notation and Proving Linear Independence

  • cateater2000
  • · Replies 2 ·
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2

Undergrad Applications of singular matricies

  • quasi426
  • · Replies 2 ·
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2

Graduate Why is the vector product not generally defined pointwise?

  • Treadstone 71
  • · Replies 4 ·
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4

Undergrad Solving Generating Function Problems - How to Get the Answer

  • mansi
  • · Replies 7 ·
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7

Graduate Completing the Spinor Group Commutative Diagram

  • Ruslan_Sharipov
  • · Replies 1 ·
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1

Undergrad Dot Product Calculator Quandry

  • infraray
  • · Replies 3 ·
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3

High School Is modular arithmetic the only way to check divisibility by 7?

  • MathematicalPhysicist
  • · Replies 12 ·
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12

High School What is the Definition of Moduli of Elasticity?

  • Ishu
  • · Replies 17 ·
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17

Graduate Where can I find a digital version of Wiles' proof of Fermat's Last Theorem?

  • Neohaven
  • · Replies 2 ·
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2

Undergrad How Do Factors Relate in the Quadratic Form N^2 - 3N + 1?

  • ramsey2879
  • · Replies 2 ·
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2

Graduate What Does [\mathcal{L},\mathcal{L}] = \mathcal{L} Imply in Simple Lie Algebras?

  • AlphaNumeric
  • · Replies 29 ·
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29

Graduate Endomorphism Compositions and Injectivity/Surjectivity Criteria for Groups

  • Data
  • · Replies 4 ·
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4

Graduate GIMPS finds 43rd Mersenne prime: 2^30,402,457 - 1

  • T.Rex
  • · Replies 15 ·
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15

Graduate Linear algebra proof definition of a stochastic matrix

  • 0rthodontist
  • · Replies 2 ·
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2

High School What is the matrix of minors?

  • bill nye scienceguy!
  • · Replies 3 ·
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3

Undergrad 6 generals propose locking a safe with a number of different locks

  • shravan
  • · Replies 2 ·
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2

Graduate Is It Possible to Identify an Original Isomorphism in Group Theory?

  • johnnyboy2005
  • · Replies 16 ·
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16

Graduate Counting Primitive Roots in Finite Fields without Group Theory

  • devious_
  • · Replies 10 ·
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10

Undergrad How Do You Rotate a Complex Number by 270 Degrees?

  • Rade
  • · Replies 5 ·
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5

Graduate Fourier complex series for Pi(x)

  • eljose
  • · Replies 16 ·
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16

Undergrad Applications of Algebra: Groups, Rings, Ideals

  • matness
  • · Replies 1 ·
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1

Undergrad Can You Prove the Sum of Cubes Equals the Square of the Sum?

  • dleacock
  • · Replies 4 ·
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4

Graduate FLT-Solution for prime values of n .

  • vantheman
  • · Replies 22 ·
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22

Undergrad Why do we need infinite dimensional vector spaces?

  • Ratzinger
  • · Replies 4 ·
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4

Undergrad Subspaces, R^n How to visualize?

  • bobby13
  • · Replies 7 ·
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7

Graduate Infinite primes using Quadratic Residues

  • JdotAckdot
  • · Replies 1 ·
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1

Graduate Where can I find exterior algebra tutorials on differentials and wedge products?

  • FredGarvin
  • · Replies 3 ·
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3

Undergrad What Are Subspaces in Linear Spaces and How Are They Defined?

  • jwsiii
  • · Replies 14 ·
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14

Graduate Power series to find the inverse of any function in Z_2[x]?

  • Treadstone 71
  • · Replies 14 ·
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14

Undergrad Mathlab and least square problem

  • hytuoc
  • · Replies 4 ·
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4

Graduate Bounding pi(n): Dusart's 1999 Extension of Rosser's Theorem

  • CRGreathouse
  • · Replies 9 ·
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9

Graduate Proving m+1 is a Perfect Square when m/8 is a Triangular Number

  • shravan
  • · Replies 8 ·
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8

Graduate Understanding Faulhaber's Formula for Sum of Powers of n Integers

  • plzhelpme
  • · Replies 1 ·
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1

Graduate Counting Invertible Matrices in GL(3, Z_2)

  • Treadstone 71
  • · Replies 1 ·
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1

High School Can Computers Solve Transcendental Equations?

  • physics4ever
  • · Replies 2 ·
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2

Undergrad Can Two Elevators with Different Periods Meet on the Same Floor?

  • apacz
  • · Replies 1 ·
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1

Graduate Is f(x) = (x^3-2) irreducible over Z_p when 3 does not divide p-1?

  • TenaliRaman
  • · Replies 2 ·
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2

Undergrad Proving Abelian Group with Numbers and Operations

  • TimNguyen
  • · Replies 6 ·
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6

Graduate Congruences of (x^n-2) and its factors

  • AntonVrba
  • · Replies 9 ·
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9

Graduate Practical pseudoprimality testing

  • CRGreathouse
  • · Replies 4 ·
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4

Undergrad Cyclic Abelian Groups: True for All Cases?

  • johnnyboy2005
  • · Replies 5 ·
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5

Undergrad Solving Complex Problems Without Expansion

  • viren_t2005
  • · Replies 2 ·
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2

Undergrad Proving a Continuing Series: Methods

  • viren_t2005
  • · Replies 3 ·
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3

Undergrad Can Zeroing a Variable Simplify Matrix Equations?

  • chandran
  • · Replies 1 ·
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1

Graduate Properties of Composites Composed of Two Odd Prime Factors

  • Edwin
  • · Replies 13 ·
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13

Graduate What is "Modding Out by A" in R/A?

  • math-chick_41
  • · Replies 4 ·
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4

Graduate What is the Notation for Adjoints in Matrices?

  • ac_nex
  • · Replies 14 ·
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14