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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Graduate Endomorphism ring over an elliptic curve
- yavanna
- · Replies 1 ·
High School Isn't the concept of a basis circular?
- archaic
- · Replies 8 ·
Linear profit, graphs and equations.
- nihil404
- · Replies 1 ·
Graduate Can the determinant of a combinatorial matrix be proven to always equal 1?
- rbzima
- · Replies 1 ·
Graduate Real and complex canonical forms
- alvielwj
- · Replies 1 ·
Graduate Does the Factor (x+1) Affect Polynomial Coset Uniqueness in F_2[x]?
- gonzo
- · Replies 1 ·
Undergrad Coordinate System Transformation
- dhume878
- · Replies 3 ·
Graduate What is the solution space for the equation 2^x - 5^y = 3 in modular arithmetic?
- K Sengupta
- · Replies 1 ·
Graduate What is the Matrix of a Non-Degenerate Non-Symmetric Bilinear Form?
- Dmak
- · Replies 1 ·
Graduate Eigenblades and the Geometric Algebra of Spinors
- kryptyk
- · Replies 1 ·
Graduate Irreducible representation of so(3)
- nematic
- · Replies 1 ·
Graduate Abel-Ruffini theorem: confusion regarding statement
- winter85
- · Replies 1 ·
Undergrad Trying to get the point of some Group Theory Lemmas
- jstrunk
- · Replies 3 ·
Graduate Local decomposition of unitary matrices
- chiyosdad
- · Replies 1 ·
Graduate Are p-adic fields isomorphic for different primes?
- caji
- · Replies 1 ·
Graduate Finding an f for 2^k+n: A Number Theory Problem
- CRGreathouse
- · Replies 1 ·
-m99.53 ty-plane hypotheses of Theorem 2.4.2.
- karush
- · Replies 1 ·
Graduate Representation of lie algebra of SL(2,C)
- paweld
- · Replies 1 ·
Graduate What are efficient methods for solving A.x = b with a large sparse matrix?
- Zhivago
- · Replies 1 ·
Graduate Orthogonal group over finite field
- rsg
- · Replies 1 ·
Graduate Finding matrices A and B such that C = A*A - B*B and D = A*B + B*A
- schutgens
- · Replies 1 ·
Graduate How to make given numbers grassmann
- jostpuur
- · Replies 1 ·
Graduate Can We Identify Quotient Groups as Subgroups of the Original Group?
- Hello Kitty
- · Replies 1 ·
Graduate How to Align Kronecker Product Results with Scalar Elements in a Matrix?
- pipebomb
- · Replies 1 ·
Graduate Verifying Cartan-Weyl basis for six-dimensional semisimple Lie algebra
- bartadam
- · Replies 1 ·
Undergrad Congruence Class - Proof of a number divisble by 7
- thejinx0r
- · Replies 1 ·
Graduate Using Cholesky decomposition to find A-orthogonal directions
- eckiller
- · Replies 1 ·
Graduate Can all polynomials in Z modulus 9 be written as the product of two polynomials?
- jeffreydk
- · Replies 1 ·
Graduate Three-Dimensional Matrix Multiplication
- marschmellow
- · Replies 1 ·
Graduate Proving existence of full rank factorization for m x n matrices
- learningstill
- · Replies 1 ·
High School What are the properties of a quasigroup table?
- LagrangeEuler
- · Replies 5 ·
Graduate Linear least squares, condition number
- azay
- · Replies 2 ·
Graduate Highly ill-conditioned (close to singular) linear problem
- anaemic1
- · Replies 1 ·
Problem (c) for Discrete Value Ring
- cbarker1
- · Replies 1 ·
Undergrad Determining coefficients from an equation with 3 variables
- RichardWattUK
- · Replies 3 ·
1.3.11 Determine if b is a linear combination
- karush
- · Replies 4 ·
Undergrad "Map" point between coordinate systems
- RichardWattUK
- · Replies 5 ·
Graduate Givens rotations versus Euler angles
- makc
- · Replies 1 ·
Graduate Implicit function for arbitrary cylinder
- intel4004
- · Replies 1 ·
Undergrad How Can 2D Plane Coordinates Be Transformed into 3D Coordinates?
- jash7205
- · Replies 1 ·
Graduate Finding a Complex Conjugate value of wave function
- boladore
- · Replies 1 ·
Graduate A positive definite Hermitian Form
- Try hard
- · Replies 1 ·
Undergrad Finding wind speed in the direction of a 100-meter dash
- braindead101
- · Replies 1 ·
Undergrad Approximate Ratio: Steps to Find Reasonable Solutions
- onako
- · Replies 1 ·
Graduate Fibonacci Rectangles and Triangular Numbers
- ramsey2879
- · Replies 1 ·
Graduate Maximal left ideal of matrix ring
- xixi
- · Replies 1 ·
Graduate What is a Tensor Product and How Does it Relate to Vectors and Matrices?
- ngc_1729
- · Replies 1 ·
Graduate Semisimple algebra (Killing form)
- droblly
- · Replies 2 ·
Undergrad Element-wise square root of a vector notation?
- Joes12
- · Replies 2 ·
Undergrad Simplifying a matrix into an equation
- Joes12
- · Replies 5 ·
Undergrad Range of T-λI and its invariance under T
- bluesky314
- · Replies 1 ·
Graduate What Is the Significance of the Matrix Identity Involving \( S^{-1}_{ij} \)?
- madness
- · Replies 3 ·
Undergrad Finding the Matrix O for a 4x4 Operator Acting on a 4x1 Vector
- MrMuscle
- · Replies 1 ·
Undergrad Finding T(8,3,7) for linear transformation R3 to R2
- GrafZeppelim
- · Replies 1 ·
Discrete valuation Ring which is a subring of a field K Problem
- cbarker1
- · Replies 3 ·
Graduate How do I find the change of basis matrix for the JCF of M?
- TMO
- · Replies 6 ·
Graduate Weil's Conjectures and Grothendieck's Standard Conjectures
- DeaconJohn
- · Replies 2 ·
Graduate Prooving the Cayley-Hamilton Theorem
- Vuldoraq
- · Replies 3 ·
Challenge Problem #9 [Olinguito]
- Olinguito
- · Replies 4 ·
Graduate How Are Pell and Sophie Germain Triangular Numbers Related?
- Raphie
- · Replies 1 ·
Graduate Calculating Components of 4D Fully Antisymmetric Tensor
- Funzies
- · Replies 1 ·
Graduate Shift and convolution in matrix form
- valjok
- · Replies 1 ·
Graduate Properties of 4x4 symmetric matrix with eigvals E1, -E1, E2, -E2
- lukasch
- · Replies 1 ·
Graduate What is the Geometric Interpretation of the Final Step in SVD?
- daviddoria
- · Replies 1 ·
Graduate Complex conjugate variables as independent variables in polynomial equations
- dm368
- · Replies 1 ·
Graduate Condition number (or estimate) of a very large matrix
- Demian^^
- · Replies 1 ·
Undergrad Using direction cosine matrix to convert LLH to ENU coordinates
- stiltz
- · Replies 1 ·
Graduate All the ways to build positive definite matrices
- lukluk
- · Replies 1 ·
Markov Process Limit: Calculating $u_k$ as a Function of $a,b$
- mathmari
- · Replies 1 ·
Find dot product of vector CD with vector K perpendicular to A
- sp3
- · Replies 4 ·
Undergrad Rotation of Elipse axes from covariance matrix
- yakerdude7
- · Replies 1 ·
Undergrad What is the general algorithm for computing the null space of a 3x3 matrix?
- junglebeast
- · Replies 1 ·
Undergrad Linear Transformations: Why w1 is a Linear Combination of v
- Amin2014
- · Replies 6 ·
Does a Line Intersect a Polygon?
- sfopeano
- · Replies 2 ·
Undergrad Solving 2 equations and 2 unknowns with vectors
- matt382
- · Replies 7 ·
17.1 Determine if T is a linear transformation
- karush
- · Replies 6 ·
Can Three Circles Intersect at a Common Point?
- karush
- · Replies 1 ·
16.1 Show that e^{2x}, sin(2x) is linearly independent on + infinity -infinity
- karush
- · Replies 3 ·
Graduate Is a block upper triangular matrix diagonalizable if A and D share no eigenvalues?
- oferon
- · Replies 1 ·
Graduate Is there a connection between Borges' 'El Aleph' and Aleph0, C, and F?
- nahuel_pelado
- · Replies 1 ·
Find Inner Product for Quadratic Form in R^3
- Denis99
- · Replies 3 ·
Undergrad Finding a linear combination to enter a sphere
- johann1301h
- · Replies 3 ·
Graduate Quadratic eigenvalue problem and solution (solved in Mathematica)
- member 428835
- · Replies 2 ·
Undergrad What are Different Types of Vector Normalization?
- juliette sekx
- · Replies 1 ·
14.3 Find a basis for NS(A) and dim{NS(A)}
- karush
- · Replies 2 ·
14.2 find a basis for NS(A) and dim{NS(A)}
- karush
- · Replies 1 ·
How do you prove a transformation is linear?
- Ereisorhet
- · Replies 1 ·
Verify basis for R² and find coordinate vector [v]_β
- karush
- · Replies 2 ·
14.1 find a vector v that will satisfy the system
- karush
- · Replies 2 ·
12.6 linearly dependent or linearly independent?
- karush
- · Replies 3 ·
Are These Vectors Linearly Dependent?
- karush
- · Replies 4 ·
Undergrad Confusion about the Direct Sum of Subspaces
- Calculuser
- · Replies 3 ·
Undergrad Linear Algebra - Inner Product problem
- RikaWolf
- · Replies 4 ·
Is 3x² + 2x - 1 in the span of {x² + x - 1, x² - x + 2, 1}?
- karush
- · Replies 4 ·
Undergrad Does a unitary matrix have such property?
- Haorong Wu
- · Replies 4 ·
Graduate Reps of groups and reps of algebras
- metroplex021
- · Replies 3 ·
10.3 Determine if A is in the span B
- karush
- · Replies 3 ·
Undergrad Linear least squares regression for model matrix identification
- synMehdi
- · Replies 5 ·
10.2 Determine if the set of vectors form a vector space
- karush
- · Replies 5 ·
-307.17.1 Show that S and T are both linear transformations
- karush
- · Replies 7 ·