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.
Graduate Solving Rotational Matrix: 6 Parameters from 3 Angles
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Graduate GCD of a and b Prime and Odd: 1 or p?
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Graduate DIHEDRAL GROUP - Internal Direct Product
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Graduate Regarding the definition of orders (as in subrings)
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Graduate Lagrange multipliers with vectors and matrices
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High School Vector Algebra Help: FAQs, Tutorials, Forums
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Graduate Can We Generate Gl(n,R) Using Shear Maps?
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Graduate Determining Rotation Axis from Matrix: Eigenvalue and Eigenvector Analysis
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Graduate The set of all continuous functions
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Undergrad Can You Combine Basis Vectors from Different Coordinate Systems?
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Undergrad Most significant bit (MSB) in ASCII code
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Undergrad Matrix diagonalisation computations
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Graduate How Can I Solve a Modulo Equation with Large Values?
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Graduate A particular subgroup of a Free Group is normal
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Graduate Understanding proof about A(adj A) elements
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Graduate Can Symmetries on the Riemann Sphere Deepen Our Understanding of Geometry?
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Undergrad Inductive Proof (+linear equation in four variables)
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Graduate Is a Bounded Dual Linear Program Indicator of a Feasible Primal?
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Graduate Test Primes: Find an Exception for P > 3? - Ken Ramsey
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Undergrad Several Dimensional Multiplication
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Graduate Prove: a^x|b^y & xt-yz\geq 0 then a^z|b^t
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Undergrad Does one need to know elementary number theory to study Abstract Algebra?
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Undergrad Can This Matrix Represent a Linear Transformation?
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Graduate Is there an isomorphism from G to (G/M)x(G/N) with the kernel M\bigcapN?
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Graduate When Does the Exponential Function Reach Its Maximum Value?
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Undergrad Determining if a vector b is a linear combination of vectors a1,a2,a3
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Graduate Exhibiting a homomorphism f: G-> Aut(G)
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Undergrad Why is the term 'norm' used instead of 'absolute value' in vector spaces?
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Graduate Is H a Subgroup of N if |H| and |G:N| are Relatively Prime?
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Undergrad Orthogonal Matrices: Importance & Benefits
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Undergrad The logic problem faced in linear algebra
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Undergrad Eigen Values of Positive Definite Matrix
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Graduate How Does the Jordan Normal Form Arise from Cyclic Subspaces and Direct Sums?
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Undergrad Can a Matrix be Recovered from Eigenvalues Alone?
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Graduate Is Det(A+B) Equal to Det(A) + Det(B)?
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Graduate Interesting way to define a sequence of Squares
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Graduate Free Group with defining equations
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Graduate How many functions satisfy this set of conditions?
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Undergrad Elementary Linear Algebra with Applications 9th or 10th edition?
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Graduate Why does the Kronecker delta interchange with itself when j equals l?
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High School How Many Permutations for Pressing 4 Out of 8 Switches?
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Graduate Operating Time for Matrix Eigenvalue and Eigenvectors
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Graduate A permutation group must be a euclidean group?
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High School Square of Odd Integers & Justifying "If P2 Is Even, Then P Is Even
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Undergrad Find vectors that produce certain orthogonal projection
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Undergrad I need a pretty basic explanation of cosets
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Undergrad Circle & Infinity: Why Is a Line?
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Graduate How Does Permuting Eigenvectors Affect Matrix Representations?
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Graduate Show that (A:B) = (A^f:B^f)(A_f:B_f) in Abelian Groups
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High School Understanding Vector Addition with the Parallelogram and Triangle Laws
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Undergrad Different rotation matrix, with cosine?
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Graduate Direct Eigenvalue solver, which retains the the order of eigenvectors
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Graduate Nessary and sufficient condition for homomorphism to be isomorphism.
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Undergrad Mathematica problem, nontrivial solution for matrix equation Ax=0
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Undergrad Help in understanding groups (undergraduate level).
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Graduate What Are Functional Powers and How Can We Explore f^n(x)?
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Graduate Can Any 2-Plane Be Mapped to Another Using Linear Maps and Translation?
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Graduate What causes delta functions to appear in the derivative of the Pi function?
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Graduate Is There Only One Integer n That Makes the Sum of Squares a Perfect Square?
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Graduate Baby Step Giant Step: Computing m of Rational Points on Elliptic Curve
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Graduate Coefficients of characteristic polynomial
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Graduate Diagonalization of square matrix if not all eigenvalues are distinct of
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Graduate How do i construct a design matrix for a least square problem?
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Undergrad Does the Order of Differentiation Matter?
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Undergrad Is there a matrix A such that AxB=B?
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Graduate Understanding the Distributive Law in a Field
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Undergrad Two impossible crossproduct problems
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Graduate Vector Spaces: Cartesian vs Tensor products
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Undergrad Does doubling the sum of prime factors always lead to 16?
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Undergrad Number of Primes Between n and 2n
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Undergrad Is there any way to find the product of prime numbers?
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Graduate Solving Matrix Equations with Real Scalars
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Graduate Eigenvalues <1 imply 0 as a limit
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Graduate How to Prove GCD of Two Powers of 2 Minus 1?
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Graduate Determinants of higher dimension matrices
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Undergrad How can I compare the vector equation of a line to a vector in the form (x,y,z)
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Graduate Proof of a^{\frac{p-1}{2}}=-1 mod p
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Graduate Z[x]/(1-x)/(x^{p-1}+ +x+1) = Z/pZ ?
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Undergrad Matrix methods for equation of a line
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Graduate Hello,I have a question. If A and B are NND matrices, how to prove
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Undergrad Can magnitude of complex numbers raised to some power
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Graduate Orthogonality in h^n for a field h
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Graduate Why can't Dn be isomorphic to the direct product of its subgroups?
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Graduate Understanding Zorn's Lemma and Its Implications in Vector Spaces
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Graduate Commutative Monoid and some properties
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Graduate How Can Vector Fields Span a Tangent Space When k > m?
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Graduate Proving Finite Groups with No Non-Trivial Subgroups and Prime Order o(G)
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Graduate Singular Value Decomposition trouble
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Graduate Proof of the The Division Algorithm
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Undergrad Proving T is a Subspace of M23: Linear Algebra Problem
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Graduate What Is the Well-Ordering Principle in Modern Algebra?
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Graduate Classifying Symmetric Quadratic Forms
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Graduate What is the essence of determinant?
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Graduate Efficient Solution for (A+pI)x=b: Fast Matrix Inversion
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Graduate Finding Elements of Order 6 in Aut(Z720)
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Graduate How to Minimize the infinity norm of a matrix function
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Undergrad Orthogonal Basis: Importance & Benefits
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Graduate Determinant of a Complex Matrix
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Undergrad Solve Conjugate Complex Equations: Rules & Examples
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Undergrad Physical Intrepretation of cofactors
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