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
Calculating the effect of an operator on an arbitrary state
- Fantini
- · Replies 5 ·
Relation between matrix elements of momentum and position operators
- Fantini
- · Replies 1 ·
Graduate Underdetermined vs Overdetermined Systems
- CoSurShe
- · Replies 3 ·
Graduate Understanding Schwarz Inequality and Its Role in Higher Dimensions
- ahmed markhoos
- · Replies 1 ·
Ring Without Identity - (mZ, +, * )
- Math Amateur
- · Replies 3 ·
Initial Objects in the Category Ring
- Math Amateur
- · Replies 4 ·
Category Theory - Initial and Final Objects
- Math Amateur
- · Replies 3 ·
What Are the Eigenvalue Properties of Hermitian Matrices in Quantum Mechanics?
- bugatti79
- · Replies 6 ·
Graduate Double Summation Result: \alpha^i\alpha^j
- feryee
- · Replies 3 ·
Graduate What is the Standard Definition of a Tensor Product of Two Vectors?
- Bashyboy
- · Replies 4 ·
What Are the Coefficients in Aluffi's Monoid Rings?
- Math Amateur
- · Replies 2 ·
Lie Algebras and Similarity Transformations
- topsquark
- · Replies 2 ·
Graduate Abstract Algebra: Dummit and Foote Exercise
- nateHI
- · Replies 2 ·
Eigenvectors of 2*2 rotation matrix
- bugatti79
- · Replies 5 ·
Graduate Proving the adjoint nature of operators using Hermiticity
- spaghetti3451
- · Replies 2 ·
Undergrad Linear dependence of two vectors
- blue_leaf77
- · Replies 12 ·
Creating a Unit Vector after Gram Schmidt Process?
- bugatti79
- · Replies 6 ·
Undergrad What is a Centered Difference Matrix?
- Septimra
- · Replies 5 ·
Graduate Diagonalising an n*n matrix analytically
- A Dhingra
- · Replies 4 ·
Monday Giggle, Dear Algebra ....
- davenn
- · Replies 1 ·
Undergrad How does row operation on an augmented matrix result in the inverse of a matrix?
- rajeshmarndi
- · Replies 7 ·
Undergrad Solving System of Nonlinear Equations (x,y,z)
- Bruno Tolentino
- · Replies 1 ·
Graduate Passive and Active Transformations
- Septimra
- · Replies 4 ·
Graduate Use FMM or FFT for low-discrepancy sample of atoms?
- 1a2
- · Replies 1 ·
Solve System of Equations: Find x, y, z & l1, l2, l3
- haydenmwht
- · Replies 5 ·
Graduate Subgroups of Symmetric and Dihedral groups
- Avatrin
- · Replies 1 ·
Graduate Prove relation between generators and automorphisms of Z/nZ*
- jackmell
- · Replies 4 ·
Matrix Ops: R(x)v & R(x)w Rotate Counter-Clockwise
- brunette15
- · Replies 3 ·
Finding eigenvectors for a double root
- brunette15
- · Replies 2 ·
Undergrad Are Both Eigenvectors Correct?
- Cpt Qwark
- · Replies 1 ·
High School Can someone explain to me what a matrix is in simple words?
- Solid Snake
- · Replies 9 ·
Can a Matrix be Written as a Linear Combination of Another Matrix's Columns?
- brunette15
- · Replies 2 ·
Undergrad Tips for proof based linear algebra?
- Cpt Qwark
- · Replies 2 ·
Graduate Understanding the isomorphism theorems
- Avatrin
- · Replies 18 ·
Undergrad Reason for just a 0 vector in a null space of a L.I matrix
- Akshay Gundeti
- · Replies 4 ·
Graduate How to formulate nonsingularity of matrix (I + A*B) in LMIs?
- Amir Hossein
- · Replies 1 ·
Is there a contradiction in assuming that $J$ is linear over $C^1([a,b])$?
- evinda
- · Replies 8 ·
Are the Weak and Strong Norms Correct for These Function Distances?
- evinda
- · Replies 3 ·
Undergrad Area of figure, resulting from unit square transformation
- Myr73
- · Replies 4 ·
Undergrad Having difficulty working out a Char. Pol. for Eigenvalues
- leo255
- · Replies 1 ·
Graduate Non-Commutative Hilbert Nullstellensatz?
- "pi"mp
- · Replies 4 ·
Determinant using gaussian elimination
- brunette15
- · Replies 2 ·
Graduate Irreducibility of polynomial (need proof evaluation)
- Avatrin
- · Replies 5 ·
Graduate Linear Algebra; Transformation of cross product
- Myr73
- · Replies 59 ·
Can $\mathbb{Z}[\sqrt{-3}]$ Be Proven as a Principal Ideal Domain?
- javi410
- · Replies 2 ·
Graduate The complex algebra graded by Z-2
- PsychonautQQ
- · Replies 1 ·
Graduate Intersection of line and surface
- mathman
- · Replies 1 ·
Understanding Extension of Scalars in a Vector Space
- caffeinemachine
- · Replies 6 ·
Graduate Dual spaces and the meaning of "Dual"
- "Don't panic!"
- · Replies 16 ·
What Are Some Alternative Sources for Help with Lie Algebra Definitions?
- topsquark
- · Replies 11 ·
Graduate When do roots of a polynomial form a group?
- MostlyHarmless
- · Replies 2 ·
Graduate Commutator of the matrices of the rotation group
- spaghetti3451
- · Replies 3 ·
Undergrad Finding if two sphere's intersect method
- SanEng02
- · Replies 4 ·
Graduate Cosets of Monoids: Conditions for Partitions
- mnb96
- · Replies 1 ·
Graduate What does Hilbert's Satz 90 mean?
- twotaileddemon
- · Replies 3 ·
Graduate Determinant and symmetric positive definite matrix
- Incand
- · Replies 1 ·
Kernel on linear transformation proof
- Cristian1
- · Replies 4 ·
Graduate Linear Transformations and matrix representation
- henry3369
- · Replies 5 ·
Graduate Find minimum number of generators for Z/nZ
- jackmell
- · Replies 3 ·
Graduate Finding number of automorphisms for Z/nZ^*
- jackmell
- · Replies 6 ·
Graduate Why is Force Physically Interpreted as a 1-Form in Line Integrals?
- bronxman
- · Replies 10 ·
Graduate What Are the Differences Between Group and Algebra Terminology?
- bronxman
- · Replies 1 ·
Graduate Matrix with fractions for indices?
- Shawnyboy
- · Replies 3 ·
Graduate Understanding proof that ##(A^T)^{-1} = (A^{-1})^T##
- Incand
- · Replies 11 ·
How Can I Overcome My Dislike for Linear Algebra Before the Exam?
- mesa
- · Replies 46 ·
Graduate Can a Projection Be an Isomorphism If It Maps to a Proper Subset?
- Myr73
- · Replies 5 ·
Graduate Why Do Engineers Use Pullbacks and Pushforwards in Mathematics?
- bronxman
- · Replies 9 ·
How Can I Derive a Contradiction from This Mathematical Statement?
- kalish1
- · Replies 1 ·
Graduate Tensors with both covariant and contravariant components
- noahcharris
- · Replies 7 ·
Graduate Why Is Isomorphism Confusing in Linear Algebra?
- MidgetDwarf
- · Replies 4 ·
Undergrad Solving Row Echelon Form: Practicing Tips for Students
- Cpt Qwark
- · Replies 2 ·
Graduate Understanding Rotation Matrices: A Journey of Mistakes and Lessons Learned
- TerryW
- · Replies 12 ·
Conjugating Subgroups: Proving |X_K| Divides |K|
- Kiwi1
- · Replies 2 ·
Graduate Cross product in arbitrary field
- jostpuur
- · Replies 1 ·
Graduate Singular spectral analysis of periodic series with period L
- Adel Makram
- · Replies 1 ·
Vectors and their derivative proof
- brunette15
- · Replies 5 ·
Understanding the Role of Abelian Cartan Subalgebras in Simple Lie Algebras
- topsquark
- · Replies 1 ·
Plane that is tangent to two curves at an intersection
- brunette15
- · Replies 3 ·
Undergrad If A is triangular and no entry on the main diagonal is zero
- muthuraman
- · Replies 4 ·
Graduate Trying to understand notes, any feedback is appreciated
- PsychonautQQ
- · Replies 1 ·
Graduate How to solve a very large overdetermined system numerically?
- dilloncyh
- · Replies 1 ·
Graduate Least squares parameter correlation
- vibe3
- · Replies 1 ·
Confusion about the notation of transpose
- alyafey22
- · Replies 4 ·
Field extensions and roots of polynomials
- mathgirl1
- · Replies 2 ·
Graduate Short Exact Sequence: Explaining C = B/A
- PsychonautQQ
- · Replies 1 ·
Undergrad Matrices: Rows and Columns Meaning
- henry3369
- · Replies 1 ·
Graduate Why is the bi-linear bracket operation on a one-dimensional Lie algebra abelian?
- PsychonautQQ
- · Replies 1 ·
How Can I Determine if Two Lie Algebras are Isomorphic?
- topsquark
- · Replies 1 ·
Graduate What is more efficient, autocorrelation or SSA?
- Adel Makram
- · Replies 3 ·
Confusion about the Killing form for A1
- topsquark
- · Replies 3 ·
Undergrad How Do You Convert ENU to ECEF Coordinates?
- rjjansky
- · Replies 4 ·
Graduate Grouping constrained optimization
- Sebastien77
- · Replies 4 ·
Basis Theorem for Finite Abelian Groups
- Kiwi1
- · Replies 1 ·
Graduate Fundamental Theorem of Field extensions
- Bipolarity
- · Replies 2 ·
Graduate Polynomials over a ring evaluated at a value?
- Bipolarity
- · Replies 1 ·
Undergrad Is xTAx always non-zero for a real, symmetric, nonsingular matrix A?
- elimax
- · Replies 1 ·
Graduate SVD of a reduced rank matrix still has non-zero U and V`?
- Adel Makram
- · Replies 2 ·
Find Min Polynomial of $\alpha$ Over $\mathbb{Q} | Solution Included
- kalish1
- · Replies 1 ·
Graduate Symmetry of Orthogonally diagonalizable matrix
- DmytriE
- · Replies 6 ·