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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 Change-of-Basis Matrix: Converting from (4,7) to (2,1) and How to Use It
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MHB Is a Prime Artinian Ring Simple?
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MHB Ring Epimorphism and Nil Radical
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MHB How Do Scalars Relate to Unit Vectors Inclined at Angle Theta?
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MHB What are some recommended texts for studying algebraic topology?
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MHB New to Linear Algebra - LU Decomposition
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MHB Exact Sequences - D&F Section 10.5, Proposition 27
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MHB Exterior powers of a vector space and its dual space
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Graduate Higher dimensional cross products
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MHB Help solving a linear equation in one variable
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Graduate Finding satisfying matrix for a particular condition
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MHB How Can Group Homomorphisms Prove Injectivity and Surjectivity?
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Graduate Fourier transform vs Inner product
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MHB How to Calculate the Area Between Two Vectors in R^n?
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MHB Invariant subspaces of representations
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Graduate LTI system and sinusoids/complex exponentials
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MHB Category Theory - Isomorphisms of Posets
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MHB Solving for X in Matrix Equation: C^TA-XB=B^{-1}-X
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MHB Category Theory - is it just "abstract nonsense"
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Graduate Product of the conjugates of a polynomial
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MHB Proving the Planarity of a Quadrilateral using Vector Algebra
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Graduate Free groups: why are they significant in group theory?
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Graduate What Are the Key Properties and Questions About Free Modules?
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MHB Exact Sequences - Split Sequences and Splitting Homomorphisms
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Graduate Is the Jacobian Equal to the Quotient of Scale Factors?
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Undergrad Unit vector in cylindrical coordinates
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Graduate Modifying a transformation based on yaw-pitch-roll or phi-theta-psi
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Graduate Solving nonlinear equations for yaw/pitch/roll given rotor/quaternio
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Undergrad Is 1D Space a Subspace of 2D Space in Physics?
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MHB Exact Sequences - Isomorphisms Resulting from Exact Sequences
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Graduate (empirical) relation between MSE and condition number
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MHB Each equivalence class is a power of [g]
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Graduate Shilov's Linear Algebra Subspace Question
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MHB State Matrix Derivation for Orbital Mechanics
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Graduate Exploring the Generalization of Mercer's Theorem to Square Integrable Functions
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MHB Tensor Products - Example 8 - Dummit and Foote - Section 10.4, page 370
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MHB Understanding D&F Example 2: R/I Bimodule on Page 366
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Graduate Ideal representation for vectors/covectors
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Graduate What are reliable references for the theorem on integral extensions?
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MHB Vector Algebra: Finding the Angle Between Two Vectors
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MHB Simple Problem - Establishing an Isomorphism
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Undergrad Free columns-combinations of columns?
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MHB Factor a^4+b^4: Simplify \(a^4 + b^4 \)
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MHB Tensor Products - D&F page 369 Example 2
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Graduate Why Does Matrix B & C Result in Matrix A?
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Undergrad A question about the cross product as related to matrix multiplication
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MHB Tensor Products - D&F page 369 Example 3 - The map phi
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Undergrad Finding a Transformation Matrix for Matching Signs in a Matrix
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MHB Simple Problem concerning tensor products
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High School Differences between row and column vectors
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Undergrad Finding Angle Between Two Vectors Using Inner Products
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Graduate Proving the Falsehood of the Homomorphism Property for Ω:Zp^n→Zp^n
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Undergrad Struggling with Linear Algebra: Where to Find Help?
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Graduate How Did the Definition of a Field Evolve to Require Commutativity?
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MHB Some help on a matrix question please.
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Graduate What is the difference between unit vectors v and r?
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Graduate Why this property of the product of two matrices
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MHB Tensor Products - Dummit and Foote Section 10.4, Example 2, page 363
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MHB Tensor Products - Dummit and Foote Section 10.4 Corollary 9
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High School Can We Subtract Matrices with Different Dimensions?
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MHB How do you find frobenius canonical form of a matrix?
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Undergrad Theory for find the eigenvules of a matrix
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MHB Proving Linear Dependence of r1,r2,r3 Given a,b,c ≠ 0
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MHB Solve Linear Equations: 1/5(1/3x-5)=1/3(3-1/x)
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MHB Two sets generate the same vector space
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Graduate If A, B Hermitian, then <v|AB|v>=<v|BA|v>*. Why?
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Undergrad Guidance: Convex hull, null space and convex basis etc
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MHB Could someone recommend me pure math linear algebra book?
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Graduate Is every norm preserved under a unitary map?
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MHB How to Prove Certain Matrix Operations and Understand Their Properties?
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MHB Greatest common divisor of a and b
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MHB Is There Only One Possible Z-Linear Map from T to T'?
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Graduate Hilbert, Banach and Fourier theory
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MHB What is vector in linear algebra
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MHB Show all invariant subspaces are of the form
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Graduate Centerless Groups: Examples & Constraints
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MHB Tensor Products - The free Z-module construction
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Graduate Does there exist a canonical projection from Z^p-1 to Z_p
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MHB Tensor Products - D&F - Extension of the scalars
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MHB History of Algebra: Modern Algebra, Ring Theory, Algebraic Topology
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Undergrad Why do we learn Dual Space so early?
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Undergrad Calculating Solid Angle Between Three Vectors: A Scientific Guide
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MHB Tensor Products - Dummit and Foote - Section 10-4, Theorem 8, page 362
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Graduate Row selection of matrix and the condition number
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Graduate Lie theory - sum of nilpotent ideals is nilpotent?
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Undergrad Can a Linear Transformation Satisfy One Property but Not the Other?
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MHB Matrix Exponential and series idenfication
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MHB Understanding How to Solve Vector Magnitudes and Angles
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MHB System of Equations II: Evaluate p+q+r+s & 64p+27q+8r+s
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Undergrad Having trouble understanding minimal polynomial problems
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Undergrad A deeper understanding of the determinate
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Undergrad Simple Proofs for Matrix Algebra Properties: A Beginner's Guide
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MHB Construct a matrix with such that V is not equal to C_x
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Undergrad How Do Unit Vectors Achieve Their Form?
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MHB Show deg of minimal poly = dimension of V
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MHB Tensor Products - Keith Conrad - Theorem 3.3 - Tensor Products I
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MHB Polynomial including Sigma Notation
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Graduate Calculating Basis of Tangent Plane
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MHB Existence of Tensor Products - Keith Conrad - Tensor Products I - Theorem 3.2
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Graduate Generating randomly oriented non-intersecting cylinders in a unit cell
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