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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.
Graduate What is the Matrix of a Non-Degenerate Non-Symmetric Bilinear Form?
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Graduate Eigenblades and the Geometric Algebra of Spinors
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Graduate Irreducible representation of so(3)
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Graduate Abel-Ruffini theorem: confusion regarding statement
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Undergrad Trying to get the point of some Group Theory Lemmas
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Graduate Local decomposition of unitary matrices
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Graduate Are p-adic fields isomorphic for different primes?
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Graduate Finding an f for 2^k+n: A Number Theory Problem
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MHB -m99.53 ty-plane hypotheses of Theorem 2.4.2.
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Graduate Representation of lie algebra of SL(2,C)
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Graduate What are efficient methods for solving A.x = b with a large sparse matrix?
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Graduate Orthogonal group over finite field
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Graduate Matrix Decomposition: Finding A & B for C & D
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Graduate How to make given numbers grassmann
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Graduate Can We Identify Quotient Groups as Subgroups of the Original Group?
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Graduate How to Align Kronecker Product Results with Scalar Elements in a Matrix?
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Graduate Cartan/Weyl basis. Please check I understand it properly
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Undergrad Congruence Class - Proof of a number divisble by 7
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Graduate Numerical LA: Cholesky & Conjugate gradient method
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Graduate Can all polynomials in Z modulus 9 be written as the product of two polynomials?
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Graduate Three-Dimensional Matrix Multiplication
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Graduate Help with full rank factorization
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High School What are the properties of a quasigroup table?
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Graduate Linear least squares, condition number
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Graduate Highly ill-conditioned (close to singular) linear problem
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MHB Problem (c) for Discrete Value Ring
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Undergrad Determining coefficients from an equation with 3 variables
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MHB 1.3.11 Determine if b is a linear combination
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Undergrad "Map" point between coordinate systems
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Graduate Givens rotations versus Euler angles
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Graduate Implicit function for arbitrary cylinder
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Undergrad How Can 2D Plane Coordinates Be Transformed into 3D Coordinates?
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Graduate Finding a Complex Conjugate value of wave function
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Graduate A positive definite Hermitian Form
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Undergrad Vector problem involving velocity and wind
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Undergrad Approximate Ratio: Steps to Find Reasonable Solutions
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Graduate Fibonacci Rectangles and Triangular Numbers
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Graduate Maximal left ideal of matrix ring
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Graduate What is a Tensor Product and How Does it Relate to Vectors and Matrices?
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Graduate Semisimple algebra (Killing form)
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Undergrad Element-wise square root of a vector notation?
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Undergrad Simplifying a matrix into an equation
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Undergrad Question about an eigenvalue problem: range space
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Graduate What Is the Significance of the Matrix Identity Involving \( S^{-1}_{ij} \)?
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Undergrad Finding the Matrix O for a 4x4 Operator Acting on a 4x1 Vector
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Undergrad Linear transformation T: R3 -> R2
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MHB Discrete valuation Ring which is a subring of a field K Problem
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Graduate How do I find the change of basis matrix for the JCF of M?
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Graduate Weil's Conjectures and Grothendieck's Standard Conjectures
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Graduate Prooving the Cayley-Hamilton Theorem
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MHB Challenge Problem #9 [Olinguito]
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Graduate How Are Pell and Sophie Germain Triangular Numbers Related?
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Graduate Calculating Components of 4D Fully Antisymmetric Tensor
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Graduate Shift and convolution in matrix form
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Graduate Properties of 4x4 symmetric matrix with eigvals E1, -E1, E2, -E2
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Graduate What is the Geometric Interpretation of the Final Step in SVD?
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Graduate Complex conjugate variables as independent variables in polynomial equations
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Graduate Condition number (or estimate) of a very large matrix
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Undergrad Question about Direction Cosine Matrix
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Graduate All the ways to build positive definite matrices
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MHB Markov Process Limit: Calculating $u_k$ as a Function of $a,b$
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MHB Find Dot Product Between Vector CD & Vector K
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Undergrad Rotation of Elipse axes from covariance matrix
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Undergrad What is the general algorithm for computing the null space of a 3x3 matrix?
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Undergrad Linear Transformations: Why w1 is a Linear Combination of v
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MHB Does a Line Intersect a Polygon?
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Undergrad Solving 2 equations and 2 unknowns with vectors
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MHB 17.1 Determine if T is a linear transformation
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MHB Can Three Circles Intersect at a Common Point?
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MHB 16.1 Show that e^{2x}, sin(2x) is linearly independent on + infinity -infinity
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Graduate Diagonalizability of a matrix containing smaller diagonalizable matrices
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Graduate Is there a connection between Borges' 'El Aleph' and Aleph0, C, and F?
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MHB Find Inner Product for Quadratic Form in R^3
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Undergrad Finding a linear combination to enter a sphere
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Graduate Quadratic eigenvalue problem and solution (solved in Mathematica)
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Undergrad What are Different Types of Vector Normalization?
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MHB 14.3 Find a basis for NS(A) and dim{NS(A)}
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MHB 14.2 find a basis for NS(A) and dim{NS(A)}
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MHB Linear Transformations: Proving Rules & Demonstration
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MHB 13.2 verify that ....... is a basis for R^2 find [v]_beta
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MHB 14.1 find a vector v that will satisfy the system
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MHB 12.6 linearly dependent or linearly independent?
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MHB Are These Vectors Linearly Dependent?
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Undergrad Confusion about the Direct Sum of Subspaces
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Undergrad Linear Algebra - Inner Product problem
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MHB 11.1 Determine if the polynominal.... is the span of (....,....)
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Undergrad Does a unitary matrix have such property?
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Graduate Reps of groups and reps of algebras
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MHB 10.3 Determine if A is in the span B
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Undergrad Linear least squares regression for model matrix identification
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MHB 10.2 Determine if the set of vectors form a vector space
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MHB -307.17.1 Show that S and T are both linear transformations
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Undergrad Mistake in Schaum's Group Theory?
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MHB Either or statement from Abstract Algebra Book
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MHB Solving Nilpotent Problem in Abstract Algebra
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MHB Practice Test Solutions: Derivation of [ -4/3, 1/3, 1 ] with Red Correction
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Undergrad Is subtraction an operation on Z?
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MHB How can we prove that the center of a ring is a subring?
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MHB Does $(A^T)^2=(A^2)^T$ for $2\times 2$ matrices?
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Graduate Classification of semi-simple Lie groups
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