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 Are Cube Matrices the Next Frontier in Linear Algebra?
- Vorde
- · Replies 3 ·
Graduate Symmetries of a Tetrahedron video
- MrBeezer
- · Replies 1 ·
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 How do you calculate eigenvalues and eigenvectors?
- 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 ·
How do you rotate vectors in an orthogonal basis?
- 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 ·
Proving that AD in orthogonal projection
- 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 Remez algorithm for minimax polynomial approximation
- ChaseRLewis
- · Replies 2 ·
Undergrad Why is group theory important 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 Differentiating w'Aw + L(w'w - 1) to get Aw = Lw
- 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 notation with repeated indices
- 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 ·
Proving a cyclic group is isomorphic to a ring under addition
- 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 ·
Proving Z3 has additive inverses for ring structure
- 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 can't a symmetric and non-symmetric matrix be unitarily equivalent?
- namegoeshere
- · Replies 2 ·
Graduate Generalization of Chinese Remainder Theorem
- eddybob123
- · Replies 1 ·
Automorphism action on finite abelian groups
- 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 ·