Using R to solve this question!

The Hilbert matrix is the n x n matrix whose ijth entry is 1/(i +j 1). Let A denote the 5 x 5 Hilbert matrix. Its largest eigenvalue is about 1.567. Use the Bisection Method to decide how to change the upper left entry A11 to make the largest eigenvalue of A equal to n. Determine A11 within six correct decimal places