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.
How to Find the Basis of an Image
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Solve System of 4 Equations: Find x,y,u,v in Terms of a,b,c,d
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MHB How can we show the other direction?
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On formal concept analysis (fca)
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How can a 2D plane and 3D space accurately represent all colors?
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Understanding: Eigenvalues & Eigenvectors/Diagonalizing
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MHB Deriving Structure Factors for Lie Algebras | Dan's Project
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MHB Proving $(x_n,y_n)$ Converge to $(20,20) for All $k$
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Does phrase «Space over vector field» make any sense?
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Prove that a finite set with cancellation laws is a group
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MHB Real Algebraic Curves: Solving Example 1.4 from C.G. Gibson's Book
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How does the cross product work?
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MHB Solving a Polynomial Equation - Discussion in Fraleigh - Page 204
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Door Rotation Matrix/Change of Basis Plus Translation
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MHB Affine Algebraic Curves - Kunz - Definition 1.1
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MHB Kunz - Vanishing Ideal and Minimum Polynomial
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Affine Algebraic Curves - Kunz - Exercise 1 - Chapter 1
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MHB How Do GCDs Coincide in Principal Ideals According to Rotman's Proposition 3.41?
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MHB GCDs of Polynomials: Reading Rotman's Corollary 3.58
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MHB Existential Theory: Understanding Last Proposition
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MHB Find the value of k for the following system to have no solutions etc?
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MHB How Can We Construct a Unique Linear System From Given Conditions?
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MHB Polynomials and Polynomial Functions in I_m = Z/mZ
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MHB Ring Homomorphisms - Rotman - Theorem 3.33
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MHB Proof Noetherian Ring: $M^2 \ne M$
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MHB Why Does Every Element in U(\mathbb{I}_m) Have an Inverse?
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MHB Congruences - Rotman - Proposition 1.58
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MHB Congruences - Rotman - Proposition 1.58 - Second Question
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I'm stuck on a proof that's probably trivial, any insights?
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Vandermonde Determinant, what am i doing wrong?
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What Are Examples of Non-Linear Operators in Mathematics?
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Rotation matrix between two orthonormal frames
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Rewriting a constraint as a standard SOC constraint.
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MHB Universal Property for Coproducts in Ab
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MHB Shankar - Simultaneous Diagonalisation of Hermitian Matrices
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Proving a linear algebra equation
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Underdetermined vs Overdetermined Systems
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Understanding Schwarz Inequality and Its Role in Higher Dimensions
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MHB Ring Without Identity - (mZ, +, * )
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MHB Initial Objects in the Category Ring
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MHB Category Theory - Initial and Final Objects
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MHB What Are the Eigenvalue Properties of Hermitian Matrices in Quantum Mechanics?
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Double Summation Result: \alpha^i\alpha^j
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What is the Standard Definition of a Tensor Product of Two Vectors?
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MHB What Are the Coefficients in Aluffi's Monoid Rings?
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MHB Lie Algebras and Similarity Transformations
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Abstract Algebra: Dummit and Foote Exercise
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MHB Eigenvectors of 2*2 rotation matrix
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Proving the adjoint nature of operators using Hermiticity
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Linear dependence of two vectors
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MHB Creating a Unit Vector after Gram Schmidt Process?
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What is a Centered Difference Matrix?
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Diagonalising an n*n matrix analytically
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Monday Giggle, Dear Algebra ....
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Solving System of Nonlinear Equations (x,y,z)
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Passive and Active Transformations
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Use FMM or FFT for low-discrepancy sample of atoms?
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Subgroups of Symmetric and Dihedral groups
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Prove relation between generators and automorphisms of Z/nZ*
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MHB Matrix Ops: R(x)v & R(x)w Rotate Counter-Clockwise
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MHB Finding eigenvectors for a double root
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MHB Can a Matrix be Written as a Linear Combination of Another Matrix's Columns?
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Tips for proof based linear algebra?
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Understanding the isomorphism theorems
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MHB Proving Ideal Property of f(x)=0 for Every Rational x in $\mathcal{F}(\mathcal{R})$
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Reason for just a 0 vector in a null space of a L.I matrix
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How to formulate nonsingularity of matrix (I + A*B) in LMIs?
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MHB Is there a contradiction in assuming that $J$ is linear over $C^1([a,b])$?
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MHB Are the Weak and Strong Norms Correct for These Function Distances?
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Area of figure, resulting from unit square transformation
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Having difficulty working out a Char. Pol. for Eigenvalues
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Non-Commutative Hilbert Nullstellensatz?
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MHB Determinant using gaussian elimination
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Irreducibility of polynomial (need proof evaluation)
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Linear Algebra; Transformation of cross product
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The complex algebra graded by Z-2
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Intersection of line and surface
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MHB Understanding Extension of Scalars in a Vector Space
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Dual spaces and the meaning of "Dual"
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MHB What Are Some Alternative Sources for Help with Lie Algebra Definitions?
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When do roots of a polynomial form a group?
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Commutator of the matrices of the rotation group
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Finding if two sphere's intersect method
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Cosets of Monoids: Conditions for Partitions
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What does Hilbert's Satz 90 mean?
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Determinant and symmetric positive definite matrix
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MHB Kernel on linear transformation proof
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Linear Transformations and matrix representation
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Find minimum number of generators for Z/nZ
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Finding number of automorphisms for Z/nZ^*
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Why is Force Physically Interpreted as a 1-Form in Line Integrals?
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What Are the Differences Between Group and Algebra Terminology?
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Understanding proof that ##(A^T)^{-1} = (A^{-1})^T##
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How Can I Overcome My Dislike for Linear Algebra Before the Exam?
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Can a Projection Be an Isomorphism If It Maps to a Proper Subset?
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Why Do Engineers Use Pullbacks and Pushforwards in Mathematics?
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MHB How Can I Derive a Contradiction from This Mathematical Statement?
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Tensors with both covariant and contravariant components
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Why Is Isomorphism Confusing in Linear Algebra?
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MHB Conjugating Subgroups: Proving |X_K| Divides |K|
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