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.
Does there exist a transformation between a line and a closed loop ?
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MHB QR Decomposition and Full Column Rank of A
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Calculating the transform matrix
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Abelian X-Groups and Noetherian (Abelian) X-Groups
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Affine Algebraic Sets - D&F Chapter 15, Section 15.1 - Example 2
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Affine Algebraic Sets - D&F Chapter 15, Section 15.1 - Example 3 - pag
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MHB Injection, Surjection, Bijection
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MHB When there is a double root for the eigenvalue, how many eigenvectors?
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Lazy Group Proofs and Efficiently Using Categories
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What Distinguishes Hilbert Spaces from Euclidean Spaces?
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MHB Showing that two elements of a linearly independent Set Spans the same set
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MHB Question about problem involving gcd
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MHB Can this algebraic problem be solved without observation?
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Should Abelian Be Capitalized in Mathematical Texts?
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MHB Defining Real-Valued Scalar Product in Vector Spaces
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Problem understanding operator algebra
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MHB Eigenfunction of \frac{d^2}{dx}-x^2: e^{-0.5x^2} with eigenvalue x^2-1
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Where can I learn linear algebra online?
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3D Rotations using complex numbers
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Linear applications simple doubt
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MHB Proving Singular Matrix and Non-Zero Solutions: A Tutorial
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MHB Bilinear Function and Gramian Matrix
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Why do we need natural transformations?
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MHB Minimal Polynomial Finding Algorithm
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Lemma used to prove Von Staudt's Theorem
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MHB Jordan Normal Form and Root Spaces
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MHB Systems of equations - further understanding
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MHB A challenging system of equations
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MHB Question about Sets and Functions
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MHB Why a group is not isomorphic to a direct product of groups
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Conditions for Index Size in A_5 and S_5 Centralizers
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MHB Eigenvalues and Eigenvectors over a Polynomial Ring
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MHB Finding the Matrix of a Linear Transformation
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MHB Direct Sum Property: Proving Uniqueness
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What are the prerequisites for studying category theory?
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How Can I Express x in this Logarithmic Equation?
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Why Does Sum of Matrix Elements x Cofactor in Different Rows Equal Zero?
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MHB Linear Transformations & Dual Space Problem
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MHB Need Assistance - Can Someone Help Me?
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Confused about choice of vector in a proof.
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MHB Writing formulas to describe isometries
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Understanding Isomorphisms in Linear Transformations?
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MHB System of linear equations with a parameter
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MHB Proving span of a Set with Scalar attached to First Element
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MHB Field Theory - Nicholson - Algebraic Extensions - Section 6.2 - Example 15
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MHB Field Theory - Algebraic Extensions - D&F - Section 13.2 - Exercise 7, page 530
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MHB Field Theory: Nicholson Alg Ext, Sec 6.2 Ex 13 Pg 282 Explained
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MHB Finding Jordan Normal Form of Matrices
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Understand Lemma Lucas Theorem & Its Proof
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MHB Is the Irreducible Polynomial of u the Minimal Polynomial?
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MHB Field Theory - Nicholson - Splitting Fields - Section 6.3 - Example 1
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Gaining Intuition: Linear Transforms & Coordinate Functions
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Understanding Matrix Multiplication: A Vector-Based Explanation
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MHB Field Theory - Nicholson - Algebraic Extensions - Section 6.2 - Example 13
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3 x 3 determinant gives the volume of a parallelopiped
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MHB Is the Function f a Homomorphism for Symmetry Group of a Circle?
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Invertible matrix implies linear independent columns
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Normed linear space vs inner product space and more
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MHB Field Theory: Nicholson, 6.2 Algebraic Extensions - Example 14 (p. 282) Solution
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Show that inner product is zero.
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MHB Linear Transformation with No Eigenvector
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MHB Geometric action of an arbitrary orthogonal 3x3 matrix with determinant -1
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Solving a System of Multiplicative Matrices
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MHB Field Theory - Nicholson - Algebraic Extensions - Section 6.2 - pages 281-282
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MHB Diagonalizability of Linear Transformation
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The usefulness of proofs to a physicist: eg The Schwarz Inequality
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MHB Differential equation with eigenvector (complex number)
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MHB Differential equation with eigenvector
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How Can I Get This Equation From These 3 Equations
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MHB Eigenvalues of a Linear Transformation
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Variation of the triangle inequality on arbitrary normed spaces
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Creating noncyclic groups of certain order
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MHB Proving Root Space Invariancy of Linear Transformation
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MHB Assume that S and T are linear maps from the vector space V to itself.
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Beating linear LS on polynomials
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Write the subspace spanned by vectors as a kernel of a matrix.
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Help understanding proof for Capon Method
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Is There a Linear Transformation to Map Data Set X to Y in PCA?
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How Do I Understand <g> in Z/mZ?
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MHB Field Theory - Element u transcendental of F
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What is the Connection Between Matrix Trace and Endomorphism?
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Is absorption an axiom for a boolean algebra?
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MHB Determine the matrices that represent the following rotations of R^3
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Finding the elements of a group given two generators and relations
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MHB A proof of a general property of norms
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Proof of a linear operator acting on an inverse of a group element
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Help taking a cross product of a matrix
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MHB Prove A=B when A⊂span(B) and B⊂span(A)
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MHB Splitting Fields - Dummit and Foote - Example - page 541 - x^p - 2, p prime
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Linear independance best methods?
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Can a 2N by 2N matrix written in terms of N by N matrices?
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MHB Solving Equation System for Surjective Linear Transformation: T:R^4->R^2
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MHB Redundancy in Question about Linear Transformations
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MHB Matrix L1-Norm: Max of Column Sums Explained
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MHB The Meaning of Degenerate in the Context of Linear Algebra
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MHB Find a Basis for Subspace in P_3(\mathbb{R})
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MHB Understanding Matrix Units for Linear Transformations in M2(Re)
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MHB Splitting Fields - Dummit and Foote - Exercise 1, page 545
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MHB Find the eigenvalue of a linear map
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Using linear algebra to find a number of independent equations
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