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.
Undergrad The tensor product of tensors confusion
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High School Is it invalid to redefine the sgn function in this way in a proof?
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High School What Are Solutions for Universal Linear Recursions?
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Graduate Center of a linear algebraic group
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High School Proving the uniqueness of eigenspaces
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MHB QR decomposition with permutation matrix
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MHB Approximation of eigenvalue with inverse iteration method
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MHB Scalar Triple Product and Coplanarity
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MHB Householder method : Which α do we take?
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Undergrad Central Extension and Cohomology Groups
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Undergrad Prove that the limit of this matrix expression is 0
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High School Any square matrix can be expressed as the sum of anti/symmetric matrices
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High School Geometrical meaning of magnitude of vector product
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MHB Find Vector of Given Length in Particular Direction
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MHB What is the Angle Between Vectors Using the Dot Product Formula?
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MHB Find Vector Perpendicular to Plane
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Graduate Link between 24 dimension kissing number and Monster group
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Undergrad How to Find the Generalized Eigenvector in a Matrix ODE?
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MHB Abstract algebra: i need examples of ...
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MHB Proving Non-Degeneracy of Euclidean Inner Products
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Graduate A problem in multilinear algebra
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High School Regarding Contravarient Vector Transformations
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Undergrad Proving (x,x) = 0 implies x = 0 in real vector space V
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MHB Velocity and acceleration vectors and their magnitudes
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MHB Understanding Velocity and Acceleration of a Moving Particle
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Undergrad Shouldn't this definition of a metric include a square root?
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MHB How is Radius of Curvature Computed for a Given Curve?
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MHB Prove R is a Sub-ring of $\mathbb{Q}$ - Prime $p \in \mathbb{Z}$
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Undergrad Proving that ##V = U_1 \oplus U_2 \oplus \ldots \oplus U_k##
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Undergrad Understanding the concept of direct sum
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MHB Diagonalizable transformation - Existence of basis
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Undergrad Proving U_1 + U_2 + ... + U_k = span (U_1 \cup U_2 \cup \ ... \ \cup U_k)
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MHB Is the Matrix A Diagonalizable with Real Eigenvalues?
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High School Commutators of functions of operators
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MHB Is x+1 a Factor of the Polynomial x^3-5x^2+3x+1?
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Undergrad Meaning of terms in a direct sum decomposition of an algebra
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Graduate Lie Bracket * Matrix * vector (Need proof)
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MHB What is the velocity vector after a pinball bounces off a baffle?
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Undergrad How is unit norm axis rotation represented and derived in R3?
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Undergrad Dimension of a Linear Transformation Matrix
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MHB Is the Calculated Osculating Plane and Binormal Correct for $\theta=0$?
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MHB Prove $10^{\dfrac{5^n -1}{4}} \Huge\vert (5^n)!$ for $Z^+$
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Undergrad Canonical Form for quadratic equations *with* linear terms
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Undergrad Two ways to define operations in a vector space
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Undergrad Un-skewing a skew symmetric matrix (for want of a better phrase)
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High School Magnitudes of the sum of two vectors
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MHB Find the elementary divisors and invariant factors
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Undergrad How can the Lp Norm be used to prove inequalities?
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Undergrad Question about the vector cross product in spherical or cylindrical coordinates
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MHB The product γ is a rotation or a translation
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MHB What are the properties of affine bases in $\mathbb{R}^n$?
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MHB Checking if $\beta \in \text{Isom}(\mathbb{R}^2)$
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Graduate Multinomial functions of matrices
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MHB Set of 2-dimensional orthogonal matrices equal to an union of sets
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Graduate Trace of the inverse of matrix products
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Undergrad What conditions are needed to raise a linear operator to some power?
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Undergrad Commutative algebra and differential geometry
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High School Explicit expression for ideal membership
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MHB Hectares and kilometres - how many days to cut 295 hectares
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Undergrad One-Time Pad and Frequency Analysis
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MHB 3.2.5.3 General Solution if system
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MHB Solving 2nd-Order IVP as System of Equations
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Graduate Error in (Multi)linear Regression
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MHB Find Eigenvalues & Basis C2 Matrix: Help!
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Graduate Infinite-Dimensional Lie Algebra
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MHB System of Equations for Second-Order IVP
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MHB 097 Change the second-order IVP into a system of equations
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Undergrad Change of Basis Matrix vs Transformation matrix in the same basis....
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MHB Solving Matrix A: Characteristic Equation and Eigenvectors
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Undergrad Reducing NxN Matrix to 2x2 w/ Physical Constraints
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Undergrad Theory of Schemes in Algebraic Geometry
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MHB Λ and μ are scalars, find the value of λ and the value of μ
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Graduate How to Solve B^3 = A^2 Matrix 2x2 on C?
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Undergrad Determine if polynomial system has finite number of solutions
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Undergrad Help solving a System of Linear Equations
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Graduate Understanding of conjugate directions
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Undergrad Weird Semidirect Product Formula
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Undergrad Determining the number of conjugacy classes in a p-group
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MHB 5.2a plot linear transformations
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Undergrad Can a group be isomorphic to one of its quotients?
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High School Giving definitions, proposing theorems in abstract spaces
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MHB 072 is Q(theta) a linear transformation from R^2 to itself.
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Undergrad When is it better to call a thing "modulus" and when "determinant"?
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MHB T20 Suppose that A is a square matrix of size n and ......
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Graduate Translationlength by the coxeterelement of E9 along the coxeteraxis
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Undergrad Permutations written as product of 2-cycles
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MHB Matrices.......whose null space consists all linear combinations
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MHB Whit.a.6.1 Show that the plane H defined by:
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MHB 051 how they got the eigenspaces ?
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Undergrad The adjective "finite" applied to algebraic structures
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Undergrad General worked out solution for diagonalizing a 4x4 Hermitian matrix
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MHB Q01 are linearly independent vectors, so are....
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Graduate What physical meaning can the “determinant” of a divergency have?
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MHB Give a basis to get the specific matrix M
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MHB Equivalence of Subspace Statements
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MHB Row echelon form : Can the first column contain only zeros?
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Graduate What is the Corollary of the Nucleus and Image Theorem?
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MHB M has the unit matrix at the upper left side and zero everywhere else
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MHB Rank of composition of linear maps
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Graduate Eigenvalues of block matrix/Related non-linear eigenvalue problem
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