Number theory | Matrices

Redheffer matrix

In mathematics, a Redheffer matrix, often denoted as studied by , is a square (0,1) matrix whose entries aij are 1 if i divides j or if j = 1; otherwise, aij = 0. It is useful in some contexts to express Dirichlet convolution, or convolved divisors sums, in terms of matrix products involving the transpose of the Redheffer matrix. (Wikipedia).

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From playlist Eigenvalues

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From playlist Introduction to Matrices and Matrix Operations

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Related pages

Characteristic polynomial | Invertible matrix | Partition function (number theory) | Q-Pochhammer symbol | Divisor sum identities | Determinant | Redheffer star product | Toeplitz matrix | Arithmetic function | Graph theory | Pentagonal number theorem | Stirling transform | Prime omega function | Square matrix | Spectral radius | Binomial transform | Jordan normal form | Transpose | Dirichlet convolution | Generating function transformation | Orthogonal polynomials | Dirichlet series | Riemann zeta function | Lambert series | Mertens function