Hilbert Matrix Hilbert Matrix A square matrix of order n whose element in position(i,j)is l≤i,j≤n,is called a Hilbert matrix. Write down a Hilbert matrix for n=5. MATLAB command:hilb hb(n)is thenxn(nsquare)matrix with elements which is a famous example of a badly conditioned matrix.See INVHILB for the exact inverse. the exact inverse:invhilb(n)is the inverse of the n-square matrix with elements-1. 务老这头 Matrix Theory Matrices -3/29Hilbert Matrix Hilbert Matrix A square matrix of order n whose element in position (i, j) is 1 i+j−1 , 1 ≤ i, j ≤ n, is called a Hilbert matrix. Write down a Hilbert matrix for n = 5. MATLAB command: hilb ▸ hilb(n) is the n × n (n-square) matrix with elements 1 i+j−1 , which is a famous example of a badly conditioned matrix. See INVHILB for the exact inverse. ▸ the exact inverse: invhilb(n) is the inverse of the n-square matrix with elements 1 i+j−1 . ▸ The result is exact for n less than about 15. Matrix Theory Matrices - 3/29