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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Undergrad Solving Eigenvalues: Complex Numbers Solutions
- izzy93
- · Replies 4 ·
Graduate Why this paradox in calculating eigen values for T*T ?
- vish_maths
- · Replies 9 ·
Undergrad Why Do Rank 1 Matrices Have Eigenvalues 0 and Trace?
- brownman
- · Replies 3 ·
Undergrad Split a Matrix into and arbitrary number of blocks
- DarkFalz
- · Replies 3 ·
What Does Reducing Z[x] Modulo the Prime Ideal (p) in Polynomial Rings Mean?
- Math Amateur
- · Replies 1 ·
Graduate Presentation of a group to generators in A(S)
- TylerH
- · Replies 1 ·
Undergrad Solutions to Ax=b lie in row space?
- engineer_ja
- · Replies 6 ·
Esteban's question at Yahoo Answers (Field extension)
- Fernando Revilla
- · Replies 1 ·
Graduate Hilbert Space Interpretation of Fourier Transform
- thegreenlaser
- · Replies 16 ·
Prime X 's question at Yahoo Answers (Eigenvalues of AB and BA)
- Fernando Revilla
- · Replies 1 ·
Graduate Is the Dual Space a Subset of V?
- MonicaRita
- · Replies 12 ·
Gregory's question at Yahoo Answers (Inner product space)
- Fernando Revilla
- · Replies 1 ·
Undergrad Arctangent2 without square rooting?
- sparkzbarca
- · Replies 1 ·
Graduate A three-gear alignment problem, simultaneous equations
- bobsalive
- · Replies 3 ·
Integral Domains and Principal Ideal Domains (PIDs)
- Math Amateur
- · Replies 4 ·
Proof of G Abelian When 3-abelian & 5-abelian
- mathbalarka
- · Replies 2 ·
Undergrad How do I show that the vectors of an invertible MX are indepedent?
- Minhtran1092
- · Replies 4 ·
Graduate Determinant Function: Understanding Orientation
- Tenshou
- · Replies 6 ·
Graduate Isomorphism between groups and their Lie Algebra
- raopeng
- · Replies 4 ·
Graduate Groups of order 12 whose 3-Sylow subgroups are not normal.
- Artusartos
- · Replies 1 ·
Graduate How Does the Isomorphism Between Z_k and Aut(Z_n) Work?
- Artusartos
- · Replies 2 ·
Graduate Elementary question about Dirac notation
- Ocifer
- · Replies 2 ·
Graduate Any ideas for an explicit formula?
- Someone2841
- · Replies 1 ·
Undergrad Finding the least square solution with only positive coefficients
- Marvin_MKII
- · Replies 4 ·
High School Linear equations using addition
- uperkurk
- · Replies 7 ·
Area of the parallelogram when diagonal vectors are given.
- Suvadip
- · Replies 2 ·
Graduate Covariant and Contravariant Components of a Vector
- LawdyLawdy
- · Replies 4 ·
Graduate Can't understand this statement about factor rings
- Silversonic
- · Replies 1 ·
Integral closure in finite extension fields
- pantboio
- · Replies 1 ·
Graduate How Can You Represent Determinants Using Permutations?
- jtceleron
- · Replies 1 ·
Solving for Distinct Vectors of G: $\mathbb{F}_p$, n, and v
- jakncoke1
- · Replies 2 ·
C.c.'s question at Yahoo Answers regarding factoring a polynomial
- MarkFL
- · Replies 1 ·
A fundamental fact about Linear Algebra
- caffeinemachine
- · Replies 3 ·
Graduate My Proof of Structure Theorem for Finite Abelian Groups
- Site
- · Replies 4 ·
Proofs about invertible linear functions
- i_a_n
- · Replies 8 ·
Principal Ideals - Need for a ring with identity or a unity
- Math Amateur
- · Replies 14 ·
Graduate Proving Invertible Matrix Theorem: A^TDA=D
- dEdt
- · Replies 8 ·
Principal ideal in a ring without identity
- Math Amateur
- · Replies 6 ·
Is the Analysis of Principal Ideals Correct?
- Math Amateur
- · Replies 2 ·
Find $\det(A+B)$ given $\det(A)=4$
- Petrus
- · Replies 9 ·
Graduate Discrete or continuous spectrum?
- ShayanJ
- · Replies 1 ·
Graduate Connection between topoi and schemes
- Jim Kata
- · Replies 1 ·
Comaximal Ideals in a Principal Ideal Domain
- Math Amateur
- · Replies 3 ·
Prime elements in integral domains
- Math Amateur
- · Replies 1 ·
Graduate Derive an expression to find how many times an eigen value is repeated
- vish_maths
- · Replies 9 ·
Proving Commutativity of * on Set S
- jakncoke1
- · Replies 1 ·
Proving that $S_1 \cdot S_2 \in S$
- jakncoke1
- · Replies 1 ·
Graduate Showing V is the direct sum of W1 and W2
- La_Lune
- · Replies 1 ·
Graduate Group Axiom Ordering: Proving Associativity First
- bologna121121
- · Replies 3 ·
Gcd of polynomials is 1. There is an nxn matrix with determinant....
- caffeinemachine
- · Replies 5 ·
Graduate Proof that Determinant is Multiplicative for Commutative Rings
- Site
- · Replies 4 ·
Graduate Why Can Every Element of SO⁺(1,3) Be Expressed as an Exponential?
- parton
- · Replies 7 ·
Proof of Inner Product in E with Orthonormal Sequence (n=positive integer)
- Poirot1
- · Replies 1 ·
Is the Inner Product Space in C[0,2] Satisfied by the Integral Equality?
- Poirot1
- · Replies 5 ·
Graduate Geometric insight about rotations needed
- Fredrik
- · Replies 2 ·
Undergrad Proving a Linear Transformation is Onto
- BrainHurts
- · Replies 8 ·
Arjun's question at Yahoo Answers (Equivalence relation)
- Fernando Revilla
- · Replies 1 ·
Undergrad General Proof of Cross/Dot Product
- mathnerd15
- · Replies 15 ·
Graduate Finiding a representative of the 2nd conjugacy class in A_n
- skojoian
- · Replies 2 ·
Graduate Difficult Number Theory question
- kurtulmehtap
- · Replies 12 ·
Andrew's question at Yahoo Answers (Similar matrices)
- Fernando Revilla
- · Replies 1 ·
Undergrad Scalars and determining subspaces
- MoreDrinks
- · Replies 2 ·
Relation between Hermite and associated Laguerre
- Suvadip
- · Replies 1 ·
Graduate Nth term of prime number sequence
- scimad
- · Replies 7 ·
Graduate Nonlinear Operators on Finitely Generated Vector Spaces: Group Property Example
- Zelyucha
- · Replies 5 ·
Is the Exponential of a Linear Operator Defined?
- ryo0071
- · Replies 5 ·
Graduate Is Dirac Delta a Function or a Distribution?
- ShayanJ
- · Replies 4 ·
Graduate When do SO(2) actions on the circle in the plane determine a metric?
- lavinia
- · Replies 1 ·
Graduate Understanding Linear Perceptrons and their Decision Boundary in Neural Networks
- 3.141592654
- · Replies 1 ·
Undergrad Vector image on another vector
- baby_1
- · Replies 6 ·
Graduate Possible Matrix with Equal Row and Column Sums?
- bb700092
- · Replies 1 ·
Graduate Global position and orientation of a point relative to another
- helloearthling
- · Replies 2 ·
Undergrad How to solve a problem involving modulus
- hackish
- · Replies 2 ·
Theman123's question at Yahoo Answers (Rotation and reflection)
- Fernando Revilla
- · Replies 1 ·
Is the Product of Two Diagonalizable Matrices Always Diagonalizable?
- Yankel
- · Replies 2 ·
Shelby's question at Yahoo Answers (Finding P with P^{-1}AP=D)
- Fernando Revilla
- · Replies 1 ·
Graduate Sketch Conics: Motivating Students to Learn Cross Products
- matqkks
- · Replies 1 ·
Sketch Conics: Motivating Students to Learn Cross Product Terms
- matqkks
- · Replies 2 ·
Graduate What is the significance of free products in group theory?
- dumbQuestion
- · Replies 4 ·
Undergrad Some questions about 3D environment
- baby_1
- · Replies 1 ·
Use a subgroup lattice to compute a normalizer
- i_a_n
- · Replies 1 ·
Identify isomorphism type for each proper subgroup of (Z/32Z)*
- i_a_n
- · Replies 37 ·
Undergrad Factoring x^3+y^3+z^3: Conditions & Solutions
- JNeutron2186
- · Replies 2 ·
Amanda's question at Yahoo Answers (Eigenvalues and eigenvectors)
- Fernando Revilla
- · Replies 1 ·
Graduate Determinant of product of matrices
- LagrangeEuler
- · Replies 1 ·
Vector Triple Product: Simplification Possible?
- Dustinsfl
- · Replies 2 ·
Does the permutation group S_8 contain elements of order 14?
- i_a_n
- · Replies 1 ·
Graduate Why Denote Group Operation with Multiplication?
- Site
- · Replies 7 ·
Comparing Matrices: A-B>0 Positive Definite?
- matqkks
- · Replies 4 ·
Graduate Is There a Ring Homomorphism for All Unital Rings in Evaluation Homomorphism?
- Monobrow
- · Replies 4 ·
Schreier's Lemma Proof not clear.
- caffeinemachine
- · Replies 2 ·
Graduate Can A>B Be Determined by A-B>0 for Matrices?
- matqkks
- · Replies 1 ·
How many possibly unique entries are there in a symmetric tensor?
- ssh
- · Replies 1 ·
Graduate Combine two pitch, yaw, roll rotations
- Ziks
- · Replies 6 ·
Can Rank of A Determine Rank of A+A²+A³+A⁴?
- Suvadip
- · Replies 1 ·
Dale Simpson's question at Yahoo Answers (One-to-one matrix)
- Fernando Revilla
- · Replies 1 ·
Graduate What Iterative Method is This?
- Iseous
- · Replies 15 ·
Undergrad What does this answer mean? (continuous functions)
- spaderdabomb
- · Replies 1 ·
Undergrad One-to-one linear transformations
- Nikitin
- · Replies 5 ·
Undergrad Finding smallest solution to modular equations
- Das Bot
- · Replies 7 ·