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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Find $\vec{AC}.\vec{AB}$ in Rectangle $ABCD$
- Albert1
- · Replies 2 ·
Graduate Proving uniqueness of a mathematical object
- "Don't panic!"
- · Replies 12 ·
Graduate Proving a linear algebra equation
- IlyaMath
- · Replies 3 ·
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 Why does disjoint cycle permutation raised to power m equal identity?
- 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 ·
Dear algebra, I can't solve you
- 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 ·
Solving two systems of three linear equations
- 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 ·
How does the rotation matrix R(x) rotate vectors 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 ·
Why are columns of A linear combinations of E's columns when A equals EP?
- brunette15
- · Replies 2 ·
Undergrad Preparing for a proof-based linear algebra exam
- Cpt Qwark
- · Replies 2 ·
Graduate Making sense of the isomorphism theorems beyond proofs
- Avatrin
- · Replies 18 ·
Undergrad Why do matrices with linearly independent columns have null space {0}?
- 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 ·
Where to find 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 Can't get matrix reduction to row echelon form right in practice?
- Cpt Qwark
- · Replies 2 ·
Graduate Rotation matrix around arbitrary axis gives wrong coordinates
- 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 ·
Why is H the Cartan subalgebra of A1, not E+ or E-?
- 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 Why does C equal B/A in a short exact sequence?
- 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 Assign elements to groups minimizing total weight
- 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 ·