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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.
MHB Direct Sum of n Vector Spaces Over F - Knapp Proposition 2.31 - Pages 61-62
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MHB First Isomorphism Theorem for Vector Spaces - Knapp, Theorem 2.27
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Graduate Is the Operation Linear and Bijective?
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Graduate Euclidean Algorithm Gaussian Integers
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Undergrad Best learning material for intro to Linear Algebra?
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MHB Vector Spaces and Their Quotient Spaces - Simple Clarification Requested
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Graduate Solve Matrix Equations: Ax=b | Help with A, b, x
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Graduate Vectors - are the definitions truly equivalent?
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Graduate Positive definite inner product on Lie algebra.
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Graduate Any biinvariant metric proportional to Killing metric
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MHB Ideals in Polynomial rings - Knapp - page 146
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Graduate Multidimensional fitting of two sets of data
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Undergrad Understanding Vectors: Unit Vectors vs Kinematic Equations
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Graduate The Power of SVD in Data Processing: Insights and Examples
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Undergrad Describing vectors in a different coordinate system
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MHB Existence of Finite Fields with p^n Elements
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Graduate Adjoint representation vs the adjoint of a matrix
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Graduate How Do You Set Up Matrices for Cubic Spline Interpolation?
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MHB Finite Fields - F_4 - Galois Field of Order 2^2
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MHB Why Are the Roots of xf(x) and xg(x) Distinct in Finite Fields?
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MHB Finite Fields and Splitting Fields
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Undergrad Solve Ax=b Matrix System of Equations: Help Needed
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Graduate Meaning of ##\ominus## in Hilbert Spaces
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MHB Integral Domains and Characteristics - Char(D)
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Graduate Positive, negative, complex determinants
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MHB Sum Binomials: Proving Numerical Test Result
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High School Graphs for linear equations/inequalities
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MHB Nature and character of Finite Fields of small order
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Undergrad Value of Sine(π) - Calc&Graph on Google Play
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Graduate Minimizing with constraints and linear function
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Graduate Are Faithful Representations the Most Interesting Group Representations?
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Graduate Short Exact Sequences and at Tensor Product
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Undergrad What's the difference between these 2 problems?
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Undergrad How to construct a vector perpendicular to a bunch of known vectors?
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Graduate Does multiplication by an invertible matrix preserve convexity?
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Graduate Bijective Homomorphisms and Isomorphisms
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MHB What Value of 'a' Yields One, None, or Infinite Solutions?
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Undergrad Use Gaussian elimination with back substitution?
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MHB Vector Spaces: Explained (2x2 Matrices)
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MHB Splitting Fields - Beachy and Blair - Example 6.4.2
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Graduate Reconstruct A from its reduced eigenparis
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Graduate Why Does Complex Mapping T(z) = Az + B Fail Linearity?
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Graduate Direct Sum and Direct Product: Understanding the Differences in Vector Spaces
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MHB Matrix Algebra Help: Solve for p1, p2, and p3
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MHB Proving r*r=q in S, a Ring with Identity
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MHB Field Theory _ Dummit and Foote - Example 4 - page 516 - Simple Computation
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MHB Field Theory _ Dummit and Foote - Theorem 3
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Undergrad Isomorphic Groups: Proving Theorem True?
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Graduate Intuitive understanding of quaternions
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MHB Algebraic Integers - Rotman - Proposition 2.70 - pages 118 - 119
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Graduate Example of Completely positive map from M_n to M_m
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Undergrad Cross and dot product of two vectors in non-orthogonal coordinate
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Graduate Hermitian of product of two matrices
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Graduate Diagonalization of 8x8 matrix with Euler angles
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MHB Calculate 11c-5d: Solving Exercise
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MHB How Does Theorem 2.68 Explain Finitely Generated Groups in Algebra?
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MHB Rotman - Theorem 2.64 - Irreducibility
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Graduate Trying to avoid the quartic formula
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MHB Exercise 2.47 on Page 114: Showing a Polynomial Has Root in \mathbb{F}_4 - Peter
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Graduate Notation for the Dual of a Vector Space
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MHB Rotman - Theorem 2.60 - Unique Factorization
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Graduate Notation for the nabla operator arguments
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MHB Plane algebraic curves - basic definition of affine plane
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MHB Is my solution for this exercise correct?
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MHB Group of units - Rotman - page 36 - Proposition 1.52
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MHB Why does it imply that if f is onto there are a ≠ e_1 with f(a) ≠ e_2 ?
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MHB Any two fields with 4 elements are isomorphic
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MHB Solve Exercise with Modulo: Is this Correct?
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Graduate Inner Product of Complex Vectors?
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Graduate Counting the distinct values of a modular mapping
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MHB Is \( R[x,y] \) Isomorphic to \( R[y,x] \)?
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MHB The subgroup of S_4 <σ,τ> is the whole S_4
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Undergrad Understanding 3D Rotation Transformations
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Graduate The inverse of a banded matrix
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MHB Norm of Integrals: Bounding the Matrix Product
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Undergrad Is My Tri-Quadratic Curve Fit Equation Accurate Enough?
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MHB If R is a domain , then units in R[x] are non-zero constants
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MHB R commutative ring then R[x] is never a field
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Graduate Solution of system of non-linear equations
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MHB The Category Grp - Aluffi - Section 3.3 - basic question/clarification
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Graduate How Can You Create a Universal Reflection Vector from the Origin?
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MHB Groups as Groupoids with One Object
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Graduate What is the Study of N-Spherical Geometry in Four Dimensions?
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Graduate Why Is the Spectral Family Defined This Way in Functional Analysis?
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Graduate Notation used in matrix representation of linear transformation
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Undergrad What is the relationship between two vectors in terms of rotation and scaling?
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Graduate Squared gradient vs gradient of an operator
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Graduate Intersection of an ideal with a subring (B)
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Graduate Intersection of ideals with subring
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MHB Understanding Disjoint Cycles: $k_1$ and $k_2$
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Graduate College Loan Repayment Optimization Pt.1
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MHB Universal Properties - Quotients - Aluffi, Chapter 1, Section 5.
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Graduate Proof question: the sum of the reciprocals of the primes diverges
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Graduate Intersection of maximal ideal with subring
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Graduate Linear Programming - satisfaction only at least one constraint
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MHB Identities of the optimal approximation
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Undergrad Help with matrix form of the imaginary unit, i
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Graduate (Non)Isomorphism of V with V** in Infinite-Dimension Case
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Graduate What does it mean to say that something "is a gauge theory"?
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MHB What is the name of this theorem in Abstract Algebra
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