Linear and Abstract Algebra Forum

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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 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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MHB Irreducible polynomial/Splitting field
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