Let 5 l] l A = 5 2 1 2 9 i} Using the structure of the matrix A and the Gershgorin circle theorem1 find the smallest inten'aJ containing the eigenvalues of A [without actually computing them here}. ii} Compute the eigenvalues of A. Then on the same picture, draw the Get'shgot'in disks you [ouncl in i} and indicate the eigenvalues you just computed. iii} Compute ||A||11 ||A||2+ and ||A||w hr} Deoompose the matrix as A : QAQT, where Q is an orthogonal matrix and A is a diagonal matrix