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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.
High School What is a Parallel Unit Vector and How is it Calculated?
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Graduate Landau Notation: Writing Functions in Terms of Other Functions
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Graduate Twin Prime Sieve - A Unique and Efficient Method for Generating Twin Primes
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Graduate How is Isomorphism Related to Cayley's Theorem?
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Graduate Nice little proof, can any one do it?
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Graduate Find a permutation of order 15 in S8.
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Undergrad Linear transformation between bases
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Graduate How to find just one permutation in s8
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Undergrad Construction of lines from points
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Graduate Group Action and a Cartesian Product
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High School Any one help. Adjugate of 2X2 matrix
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Undergrad Consisity of non-homogenous systems of linear equations
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Graduate What to make out of series like 1+2+3+ = -1/12 ?
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Graduate Must every linear operator have eigenvalues? If so, why?
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Graduate How Can Eigenvalues and Eigenvectors Be Explained Geometrically?
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Graduate Mystery equation written by an 8yr old
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High School Prove Square of Integer Ends in 0, 1, 4, 5, 6, 9
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Undergrad How Can I Understand 3D Rotation Matrices Like 2D?
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Graduate Proof of inner product for function space
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Undergrad How Can I Differentiate Various Group Types in Algebra?
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Graduate Solution Guide for Hoffman and Kunze Problems: Does it Exist?
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Graduate Conjugate of a matrix and of a function
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Graduate Norm of a Function vs. Length of a Vector
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Graduate Hermitian inner product btw 2 complex vectors & angle btw them
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Graduate Lorentz Force Equation: Geometric Interpretation
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Undergrad Does Order Matter in Cyclic Subgroups/Groups?
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Graduate What happens when I put cube and square doubles in a matrix?
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Graduate How can we use induction to prove that (xy)^{3} = y^{3}x^{3} for all x,y in G?
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Undergrad Prove that 12 | n^2-1 if g.c.d. (n,6)= 1.
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Graduate Getting comfortable with homological algebra
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Graduate Eigenvalue with multiplicity k resulting in k orthogonal eigenvectors?
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Graduate Polar Decompositions: Purpose of sqrt(T*T)
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Graduate Norm of a function ||f|| & the root mean square of a function.
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Undergrad Fundamental Theorem of Arithmetic Problem
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Graduate Isomorphism (Fraleigh 7th: Section 5)
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Undergrad Confusing about linearity and nonlinearity
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Graduate Uniqueness Theorem for homogenous linear ODEs
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Graduate Understanding the < > Notation for Subgroups: A Closer Look
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Graduate Non-uniform bi-linear interpolation
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Graduate I dont get the point of pseudovectors
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Undergrad LU Decomposition: Calculating Determinant of Square Matrix (Example Included)
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Graduate How to Diagonalize a 9x9 Matrix with Unitary Vectors?
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Undergrad Null matrix and invertible matrix
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Undergrad Geometrical interpretation of dot product (trying to prove)
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Graduate Verifying Noncyclic Abelian Subgroup of S4
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Undergrad Innner products and basis representation
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Graduate How can I compute r from: c = g^m * r^N mod N^2
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Graduate What Is the Correct Form of the Cauchy-Schwarz Inequality?
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Graduate Eigenvalues and eigenvectors of this matrix
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Graduate Why is Ax in col(A) if (A^T)Ax=0
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Graduate Reduce P = A(ATA)-1AT to P = BBT
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Graduate What is the meaning of the subscript in the polygamma function?
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Graduate What Is a Lie Group Without an Identity Matrix Called?
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Graduate Projection Matrix: P=A(ATA)^-1AT & P=BBT
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Undergrad How to find two endpoints of a line?
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Graduate What Are the Key Properties of Hyperreal Numbers?
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Graduate Conjecture:fundamental mathematical group
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Graduate Transformation to flip handedness of a 4-vector
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Undergrad Column Space and Pivot Columns in Reduced Matrices
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Undergrad Simple Proof Check - Number Theory
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Graduate Question about the definition of a vector space
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Undergrad Is it possible to determine if a number is a perfect square in different bases?
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Graduate Why Are SU(3) Generators Traceless and Limited to Two Diagonal Matrices?
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Undergrad How can I find an endorser for my prime number papers on ArXiv?
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Undergrad How can a column represent a vector in linear algebra?
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Graduate Proving the Finiteness of Fermat Primes
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Graduate Is the only difference between functions just a change of basis?
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Undergrad Is There Always a Prime Number Between n and n! for n>2?
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Graduate Can We Obtain the Form of L from Z(u)?
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Graduate I came across this Proposition in my book, and I know it's something
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High School How do i get the point of intersection of a line and a circle?
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High School Solving Linear Equations: Expanding Brackets, Subbing Values
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Graduate Irreducible Representations of so(4,C)
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Graduate Numerical algorithms for finding an eigenvector
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Graduate Can someone with access to Shankar's QM book help me (vector spaces)?
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Undergrad Is a symmetric matrice allways nonsingular?
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Graduate Proving Real Numbers, Pythagorean Triples & Squares
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Undergrad Matrix determinant operator commutative?
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Graduate Proving Self-Adjointness in Finite-Dimensional Vector Spaces with Inner Products
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Graduate Proof of Schwarz Inequality: Axioms & Complex Numbers
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Graduate Clifford Algebra: Representing Vectors & Projecting to Euclidean
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Graduate Optimal division of a matrix for processing
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Undergrad Group (Associativity of Binary Operators)
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Undergrad Why Is QQ^T Singular for a Matrix with Orthonormal Columns?
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Graduate Coprime pythagorean quadruples or higher tuples?
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Graduate Show every group of order 77 has elements of order 7 and 11
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Undergrad What is the Quotient Group A/B?
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Graduate Legendre and Riemann: A Conjecture Comparison
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Graduate Relating to Duality in Vector Spaces
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Undergrad Number Theory integer roots Problem
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Undergrad Intermediate Ratio: Proof & Name
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Graduate Website title: Finding Rotation Matrices for Arbitrary Angle Rotations in R^3
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Graduate What is a Linear Manifold and How Does it Differ from a Subspace?
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Undergrad Proving Eigenspace Correspondence for Similar Matrices
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Graduate F4 algorithm for calculating Groebner bases
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Graduate What is the Probability of Factoring Random Monic Polynomials?
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Graduate Transformation matrix on tensors
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Graduate Describing the Sylow 2-subgroups of S5
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Graduate Proof of A^(de) = a mod n for All Integers a
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High School Is the Sum of Digits Always Nine?
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