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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High School Understanding Vector Addition: Finding Angles and Magnitudes
- Matriculator
- · Replies 8 ·
Zach's question at Yahoo Answers (Field with 25 elements)
- Fernando Revilla
- · Replies 1 ·
Graduate Properties of a special block matrix
- ekkilop
- · Replies 4 ·
High School Understanding Eigenvalues and Eigenvectors: A Beginner's Guide
- Pseudo Epsilon
- · Replies 8 ·
Determine whether Linear Subspace
- Kaspelek
- · Replies 12 ·
Graduate Homomorphism from GL(2,N) to Z_N?
- condmatscott
- · Replies 1 ·
Graduate Finding operators (and, possibly, exponents) in a system
- hansaaa
- · Replies 2 ·
Undergrad Do these sets span the same space?
- Bipolarity
- · Replies 4 ·
Graduate Possible Expressions for Matrix Rotation Reduction
- Deadstar
- · Replies 1 ·
Graduate Proving Basic Exponent Properties for a Group
- middleCmusic
- · Replies 2 ·
Jae 's question at Yahoo Answers (Intersection of subspaces)
- Fernando Revilla
- · Replies 1 ·
Graduate Construct resultant for 3 polynomials
- pyfgcr
- · Replies 1 ·
Graduate What Is a Multilinear Function in Multilinear Algebra?
- BrainHurts
- · Replies 8 ·
The Orthogonality of Vectors and Matrices
- Petrus
- · Replies 3 ·
Graduate Understanding Ladder Operators in SU(N) Quantum Mechanics
- Clandestine M
- · Replies 4 ·
Find Parameter Producing Line l Through Points P and Q
- Petrus
- · Replies 2 ·
Orthogonal Rotation: Get Info & Tips
- Petrus
- · Replies 1 ·
Graduate Dot product in non-orthogonal basis system
- Lajka
- · Replies 10 ·
Undergrad Eigen values and Eigenvectors for a special case of a symmetric matrix
- mihalisla
- · Replies 7 ·
Calculating Orthogonal Projection: Proving AD and Formula Progress | \pi\rangle
- Petrus
- · Replies 10 ·
Graduate Field extension that is not normal
- jostpuur
- · Replies 2 ·
Graduate Commutator subgroup a subgroup of any Abelian quotient group?
- dumbQuestion
- · Replies 2 ·
Confirming Understanding of an Orthonormal System
- Petrus
- · Replies 6 ·
Calculating Length and Angle of Vectors in an Orthogonal System
- Petrus
- · Replies 4 ·
Linear Independence of Vectors: Why Determinant ≠ 0?
- Petrus
- · Replies 5 ·
Undergrad What is the Dot Product of Two 2x2 Matrices?
- Owen-
- · Replies 3 ·
Undergrad 3x3 Identity and rotation matrices and how they work
- STENDEC
- · Replies 16 ·
Graduate Normalizers and normal subgroups.
- Artusartos
- · Replies 3 ·
Graduate Is X^M-N the Minimal Polynomial of Irrational Root \sqrt[M]{N} in \mathbb{Q}[X]?
- jostpuur
- · Replies 12 ·
Solving a Matrice Equation: AX=B
- Petrus
- · Replies 2 ·
How Do Basis and Vectors Work in Linear Algebra?
- Kaspelek
- · Replies 1 ·
JustCurious's question at Yahoo Answers (Diagonalization)
- Fernando Revilla
- · Replies 1 ·
Proof of Gauss' Lemma - Issue re Proof
- Math Amateur
- · Replies 2 ·
What Are the Rules for Determining the Determinant of a 4x4 Matrix?
- Petrus
- · Replies 6 ·
Amy's question at Yahoo Answers (Self adjoint operator)
- Fernando Revilla
- · Replies 1 ·
Undergrad Find the symmetric matrix from eigen vectors
- mihalisla
- · Replies 9 ·
Graduate Need help understanding Remez Algorithm and Chebyshev Polynomials
- ChaseRLewis
- · Replies 2 ·
Undergrad What Are the Key Applications of Group Theory in Mathematics?
- Avichal
- · Replies 9 ·
Undergrad Computing determinants: Allowed shortcuts?
- MrMultiMedia
- · Replies 2 ·
Graduate User-defined orthonormal basis
- markuz
- · Replies 2 ·
Amy's question at Yahoo Answers (Orthogonal complex subspace)
- Fernando Revilla
- · Replies 1 ·
Undergrad What Does R^m -> R^n Mean in Notation?
- Astrum
- · Replies 4 ·
Graduate How to solve the larger order eigenproblem
- sandf
- · Replies 11 ·
Image, Range, and Matrix of a Linear Transformation
- SiddharthThakur
- · Replies 3 ·
Why Are These Matrices Not Invertible?
- SiddharthThakur
- · Replies 7 ·
How Do You Convert a Cartesian Equation to a Vector Equation in R3?
- Kaspelek
- · Replies 10 ·
Conditions on Matrix Imply Conditions on Elements
- SiddharthThakur
- · Replies 6 ·
MHBCalculate A^17: Powers of Matrices
- Petrus
- · Replies 3 ·
Graduate Orthogonal polynomials are perpendicular?
- A Dhingra
- · Replies 13 ·
Graduate Distinct zeros of irreducible polynomial
- jostpuur
- · Replies 3 ·
Graduate Zero as an element of an eigenvector
- ekkilop
- · Replies 2 ·
Are GCDs Always Defined in Integral Domains?
- Math Amateur
- · Replies 2 ·
Ryan's question at Yahoo Answers (Eigenvalues of A^*A)
- Fernando Revilla
- · Replies 1 ·
Why does sqrt(-2) divide x in Z[sqrt(-2)] if it divides x+sqrt(-2)?
- Poirot1
- · Replies 7 ·
Graduate Maximizing quantity which is a product of matrices/vectors
- AcidRainLiTE
- · Replies 3 ·
Form of symmetric matrix of rank one
- i_a_n
- · Replies 1 ·
Undergrad Is the Dot Product Definition Valid Only for Orthogonal Coordinates?
- cocopops12
- · Replies 9 ·
Undergrad Transition Matrix and Ordered Bases
- LosTacos
- · Replies 4 ·
Dv's question at Yahoo Answers (Hermitian matrix)
- Fernando Revilla
- · Replies 1 ·
Can Subgroups Form a Group by Union Without Containing Each Other?
- Mathelogician
- · Replies 1 ·
Polynomial Rings - Gauss's Lemma
- Math Amateur
- · Replies 4 ·
This suggests that both H and K are normal subgroups of L. What am I missing?
- 11hannab
- · Replies 1 ·
Understanding Vector Mechanics with a Particle in 2D
- mikev
- · Replies 1 ·
Undergrad Matrix manipulation/arithmetic in equations for proofs
- Dixanadu
- · Replies 3 ·
High School How do we prove the distributive property of multiplication?
- greswd
- · Replies 33 ·
Jacqueline's question at Yahoo Answers (Eigenvalues of a composition)
- Fernando Revilla
- · Replies 1 ·
Undergrad Matrix multiplication: index / suffix notation issues
- Dixanadu
- · Replies 7 ·
Is the limit vector $x$ in the subspace $F$?
- Poirot1
- · Replies 7 ·
Undergrad Fair to say there are twice as many square matrices as rectangular?
- ssayani87
- · Replies 4 ·
Undergrad What exactly is a vector in and 5-D and more dimensions?
- mahrap
- · Replies 2 ·
Is There a Strategy for Finding Primitive Roots of 2p^n If There is One for p^n?
- Poirot1
- · Replies 3 ·
Graduate Dimensions of Matrices Range (equalities).
- GoodSpirit
- · Replies 5 ·
Proving that a ring is non a PID
- pantboio
- · Replies 3 ·
Undergrad A good linear algebra text book?
- nabeel17
- · Replies 2 ·
Help Proving Isomorphism of a group
- Bruce Wayne1
- · Replies 6 ·
Rings of Fractions and Fields of Fractions
- Math Amateur
- · Replies 1 ·
Graduate Solutions to cross product, a x u = b
- xtrap0lation
- · Replies 2 ·
Undergrad The Length of a Matrix- Double Sum
- Astrum
- · Replies 5 ·
Graduate Orthogonality Problem (From Fourier Analysis Text)
- GridironCPJ
- · Replies 4 ·
Prove a ring: showing an element has an additive inverse
- Bruce Wayne1
- · Replies 5 ·
Cameron V 's question at Yahoo Answers (Equality of linear maps)
- Fernando Revilla
- · Replies 1 ·
Proving statements regarding invertible matrices
- Bruce Wayne1
- · Replies 6 ·
What is the problem in this Proof
- Amer
- · Replies 3 ·
Graduate Easy test if unitary group is cyclic
- Max.Planck
- · Replies 12 ·
Graduate What are the conjugacy classes of subgroups of Z X Z?
- dumbQuestion
- · Replies 6 ·
What are the ideals of the ring Z[x]/<2, x^3 + 1>?
- Math Amateur
- · Replies 2 ·
Undergrad Where can I find helpful resources for abstract algebra?
- DeeAytch
- · Replies 2 ·
Choirgirl1987 's question at Yahoo Answers (Jordan block)
- Fernando Revilla
- · Replies 1 ·
Graduate How Do You Solve Modified Eigenvalue Problems Like Lq=\lambda q + a?
- jollage
- · Replies 3 ·
Greatest common divisor of two polynomials
- Math Amateur
- · Replies 2 ·
Polynomial Rings - Z[x]/(x^2) and Z[x^2 + 1>
- Math Amateur
- · Replies 11 ·
Graduate Why Are Symmetric & Non-Symmetric Matrices Not Unitarily Equivalent?
- namegoeshere
- · Replies 2 ·
Graduate Generalization of Chinese Remainder Theorem
- eddybob123
- · Replies 1 ·
Finite abelian group textbook help
- caffeinemachine
- · Replies 1 ·
Dance's question at Yahoo Answers (T(A)=A-A^T)
- Fernando Revilla
- · Replies 1 ·
Undergrad Do all complex functions have orthogonal real and imaginary parts?
- cocopops12
- · Replies 7 ·
Closure of a Subgroup of GL(2,C)
- Advent
- · Replies 5 ·
Undergrad Why is Linear Algebra easier to understand than Calculus?
- KingKai
- · Replies 13 ·
Lisa's question at Yahoo Answers (Matrix of a linear map)
- Fernando Revilla
- · Replies 1 ·
Graduate Eigenvalues of nonlinearly coupled equations
- nbachela
- · Replies 5 ·