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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.
Undergrad Defining Vectors: Scalars vs 1-Dimensional Vectors
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MHB Sturn-Liouville equation subtraction
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Graduate Proof of Banach Lemma: Small Matrix Eigenvalues
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Graduate How to find composition series of Z_n^* of length k?
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MHB What Am I Getting Wrong About Matrices and Operators?
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MHB Proving Linear Independence of Eigenfunctions of a Hermitian Operator
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Undergrad Column space and nullspace relationship?
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Undergrad Is this the correct way to compute the row echelon form?
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MHB How can we show that all the solutions are given by X_m(a), Y_m(a) ?
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Graduate Abstract Algebra: Automorphisms
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MHB Can Different Bases Change the Classification of Lie Algebras?
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MHB Re-configurable Battery Network Modeling
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Undergrad English translated German Linear Algebra book
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MHB To what is X_{-m}+α(a)Y_{-m} equal?
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Graduate How to find group types for a particular order?
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MHB Determinant always equal to zero?
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MHB Is <L^2> always greater than or equal to 0 for a Hermitian operator?
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Undergrad Difference between scalars and one-dimensional vectors?
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Undergrad Help: All subspaces of 2x2 diagonal matrices
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Graduate Norm indueced by a matrix with eigenvalues bigger than 1
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MHB LU Factorization - Solve with Carter Barker
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Undergrad Onto equivalent to one-to-one in linear transformations
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Graduate Proving the Vector Triple Product Identity: A x (B x C) = (A x C)B - (A x B)C
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MHB Radicals and Radical Ideals, Dummit and Foote Proposition 11, Section 15.2
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Graduate Converse of Lagrange's Theorem for groups
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MHB Terminology - Hermitian, adjoint ....
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Graduate Transform that maps points from any quad to an reactangle
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MHB Divisors of Zero in Rings: A[x] and the Impossibility in Polynomial Rings
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Undergrad What exactly are matrices and determinants?
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Undergrad Complex number and split complex number
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Undergrad Can This Formula Identify All Prime Numbers?
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MHB How is the Map $\tilde{\varphi}$ Well-Defined in Algebraic Geometry?
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Undergrad How to construct a vector orthogonal to all but one?
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Graduate Relation between covariance and rank
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MHB What Makes Hilbert Space So Confusing?
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MHB Eigenvalues & Eigenvectors of $t: M_2 \implies M_2$ Matrix
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Graduate Showing any transposition and p-cycle generate S_p
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MHB Help to understand this eigenvector case
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MHB Did my book do this wrong? (Vector Cross Product)
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Graduate Can a Group of Order 20 with Elements of Order 4 Be Cyclic?
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MHB How Do I Navigate Change of Basis in Linear Transformations?
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MHB Proving $(G,*)$ is a Group: Hints and Tips for a Simple Group Theory Problem
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Graduate Examples of infinite nonabelian groups not GL_n(G)?
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Graduate Finding pairs of operator-related vectors
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Graduate Can the Induced Matrix Norm be Proven with Triangle Inequality?
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Undergrad What is this Matrix question asking me to do?
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MHB Kirchoff's Law equation 3 unknowns Help
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Graduate Degree of liberty of a matrix 2x2
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MHB Solving a system of linear equations with one unknown value
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MHB Why is the eigenvector of a row reduced matrix not always the zero vector?
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Undergrad What Changes in the Third Pivot When a3,3 Shifts from 7 to 11 in Linear Algebra?
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MHB Find the error in the following argument
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MHB Algebras - k-algebra and R-algebra - reconciling two definitions ....
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High School What is the principle of algebra called?
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Graduate Modern Algebra: Stabilizers and Conjugacy Classes of Dodec
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Graduate How to find generators of symmetric groups
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MHB Is There an Iff Relation for Polynomial Divisibility in the Ring F[t, t^-1]?
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MHB Is that correct so far ... ?Yes, that is correct. Good job!
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MHB When Does Such a Short Exact Sequence Exist?
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MHB Elementary Algebraic Geometry: Exercise 23, Sect 15.1 Dummit & Foote
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Undergrad Planar angle between two vectors
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MHB Solve System of n Equations: Can You Help?
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MHB Elementary Algebraic Geometry: Dummit & Foote Ch.15, Ex.24 Coordinate Ring
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MHB Coordinate ring of an affine algebraic set - k[A^n]/I(V)
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MHB Arbitrary Subset of A^n - Is it necessarily an affine algebraic set?
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MHB Subsets in the Affine Plane and ideals of K[A^n]
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MHB Ideal of functions disappearing at (a_1, a_2, .... .... , a_n)
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Undergrad Can the entries of a Matrix be elements of an unordered set?
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Graduate Finite field with hard discrete log for both groups
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Graduate Is this in general true (about projection matrices)?
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Undergrad Linear Dependence/Independence and Wronskian
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Undergrad Could there be only one lower and one upper triangle?
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Graduate Software for drawing group lattice diagrams?
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Undergrad Main Idea Behind Determinant & Its Purpose
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MHB Is the Lemma True for All Fields?
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MHB All basis' go to standard basis?
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Graduate Finite Field Structure: Prime Order Cyclic Group
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MHB Prime Ideal in a Commutative Ring - Rotman Proposition 7.5
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MHB Correspondence Theorem for Groups - Rotman, Proposition
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MHB Correspondence Theorem for Groups - Yet Another Question
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Undergrad Is R^n Euclidean Space a vector space too?
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MHB Arithmetic for Quotient Groups - How exaclty does it work
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Graduate Question about Cyclical Matrices and Coplanarity of Vectors
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MHB Prove Nonzero Integer Lemma in $F[t, t^{-1}]$
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Undergrad Determinant of 3x3 matrix equal to scalar triple product?
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Graduate Proving dependent columns when the rows are dependent
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Undergrad How are the x1 and x4 values determined in the solution to the matrix equation?
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High School Vector Space Prob: Show Linear Dependence
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Undergrad Matrix Representation of a Uniform Sphere Centered at the Origin
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Undergrad Beginner: understanding an answer
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Graduate Does Dirac notation apply to tensor product in tensor analysis?
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Undergrad Parametric vector form of cartesian equation
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MHB Irreducible Polynomials and Quotient Rings - Rotman Proposition 3.116
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Undergrad Mohr's circle and formula for eigenvectors
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Undergrad How to form the transformation matrix for this
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Graduate Can quaternion group be represented by 3x3 matricies?
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Graduate Solve System of 5 Equations with Jordan's Matrix Properties
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MHB Function Field over k --> k(x) - Rotman Definition and Proposition 3.29
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MHB What is the Rank of the Direct Sum of Torsion-free Groups?
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MHB Looking for a new Lie Algebra text
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