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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 Why is ##Aut(C_8)## not a cyclic group?
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Graduate Every field is an integral domain?
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Graduate Attempting to better understand the group isomorphism theorm
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MHB Properties of permutation of a set
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MHB Vector Space - Proving Associativity
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MHB Help! Wrong Eigenvalues Using Matrix A
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MHB Remainder/factor theorem question
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Graduate Mismatched dimensions in a tensor product with CNOT
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Undergrad Difference between Tensors and matrices
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MHB What Value of a Makes Two Linear Equations Parallel?
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Graduate What is the solution to the 1=0 paradox involving self-adjoint operators?
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Undergrad How does facial detection with matrices work?
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Graduate Kernel vector of statics Jacobian
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Graduate Groups of Order 16 with 4-Torsion, Up to Isomorphism
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Graduate Understanding Cardano's method of solving Cubic equation
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Graduate When is the Frobenius norm of a matrix equal to the 2-norm of a matrix?
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MHB Linear Dependence in \mathbb{R}^4?
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MHB Possible Echelon Form of Matrix
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Graduate Is Wedge Product the Same as Cross Product?
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Graduate Deducing Basis of Set T from Coordinates in Matrix A with Respect to Basis S
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Graduate Are \bigoplus and \times interchangeable in direct sum and direct product?
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MHB Definitions of Functions and Spaces
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Graduate Prime Ideal & Noetherian Integral Domain
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MHB Elements of $\mathbb{F}_{2^2}: What Are They?
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Graduate How to show u x v in R^n space is orthogonal to u and v?
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MHB Possible Echelon Form of a Matrix
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MHB Does the Subring Generated by Two UFDs Always Result in a UFD?
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Graduate Challenge 25: Finite Abelian Groups
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MHB Please Critique My Solution Involving Linear Independence, Linear Dependence and Span
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Undergrad Null matrix can be an idempotent matrix?
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Graduate Generalization of combinatorial generating functions?
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Undergrad Is the Transpose Conjugate of a Unitary Matrix Equal to the Identity Matrix?
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Graduate Irreducible linear operator is cyclic
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Undergrad Meaning of linearly dependent equations
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Undergrad Linear independancy and orthogonality of vectors
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MHB Vectors in $R^3$: Is $\begin{bmatrix}4\\3\\0\end{bmatrix}$ Valid?
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Undergrad Understanding the meaning of Unique Solution
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Undergrad Linear Algebra -finding determinant of a matrix
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Graduate Eigenvalue distribution relation
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MHB Inverse Eigenvalues: A Puzzling Question?
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High School Matrices Math: What is a Determinant?
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Graduate How can the kernel of a ring morphism be a subring?
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Graduate Question about Cosets and Lagrange's Theorem
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Undergrad Little question about eigenvalues
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Undergrad The geometric shape of parametric equations
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Undergrad Significance of Jordan Canonical Form
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MHB Is $ \mathbb{Z}_p $ an Integral Domain and Principal Ideal Domain?
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MHB Noetherian Modules - Bland Proposition 4.2.3
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MHB Northcott - Sums and Products of Ideals
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Graduate What Does the Second Index in SO(n,p) Represent?
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Graduate Little help with tensor antisymmetrization
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MHB Finite Group Inverses: Proving $N_{ABC}=N_{CBA}$
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Graduate Unitary Operation On A Complex Matrix
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Graduate What is the variance of the product of a complex Gaussian matrix and vector?
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Graduate Variance of a vector product/sum combination
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Graduate Transitive subgroup of the symmetric group
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MHB Spanning Spaces with Linear Combinations
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Graduate Counting Cosets in Abstract Algebra | Pinter's Self Study
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MHB Normal subgroups (Sylow Theorem)
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MHB Northcott - Proposition 3 - Non-empty Inductive System
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MHB Northcott - Proposition 3 - Inductive Systems Maximal Elements are Prime Ideals
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Undergrad Difference between span and basis
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Graduate Quotient field of the integral closure of a ring
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Graduate Irreducible representations of SL(2,C)?
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MHB Why Are Maximal Elements in Omega Prime Ideals?
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MHB What Determines the Galois Group of a Polynomial's Splitting Field?
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Graduate Identifying the name of a theorem
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Graduate Valuations and places - decomposition and inertia group
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MHB Number of Elements in Finite Fields?
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Undergrad Linear operator, linear functional difference?
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Undergrad Question about vector independence
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MHB Noetherian Modules: ACC, Finite Ascending Chain Definition - Bland
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MHB Bland - Proposition 4.1.1 - (4) => (1)
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Graduate Is it possible to determine a basis for non-subspace spaces?
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Graduate The exclusion of empty substructures
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MHB Symmetric and anti-symmetric matrices
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MHB Checking Invertibility of A^3 Matrix - Tips & Solutions
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Graduate Doubt about condition solutions of complex line equation
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MHB Noetherian Modules - Bland - Proposition 4.2.3 - (3) => (1)
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MHB Noetherian Modules - Bland - Proposition 4.2.3
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Graduate Example of a local field of positive characteristic?
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Graduate A vector whose components are vectors?
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Graduate Can someone explain fractional calculus?
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Undergrad LU solve for matrix with zeros on diagonal
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Graduate General Process for finding elements of a group
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Graduate Dual vector spaces and linear maps
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MHB Modules - Generating and Cogenerating Classes - Bland - Chapter 4, Section 4.1
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MHB Sum of Submodules - infinite family case
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MHB Direct sum of free abelian groups
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Graduate Similarity Transformation Doesn't seem to work
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Undergrad More than 3 eigenvectors perpendicluar
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Graduate Extending a Set of 3 Orthogonal Vectors to a Basis in R^5
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Undergrad Why is AB an Orthogonal Projection Matrix?
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Undergrad Linear and Abstract Algebra: What Is It?
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Graduate Are There Spaces That Are Their Own Automorphisms Group?
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MHB Calculate Resultant of $g(x)=X^3+pX+q$
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MHB Showing $XF_{X}+YF_{Y}+ZF_{Z}=nF$ with a Homogeneous Polynomial
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MHB The Contravariant Functor Hom_R( _ , X)
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MHB Composition Series for Group Order 30
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Graduate 3 Dimensional Representation of D3
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