Juan marked the water level of a lake at the beginning of the year. At the end of every month, he recorded how much the water level had changed, in centimeters. What is the total amount of change in the water level over the course of five months? Use your knowledge of the properties of operations to simplify your calculations.

To diagonalize an nxn matrix a means to find an invertible matrix p and a diagonal matrix d such that a pdp d p ap or [1 3 dh epap 3 let a=-3 -5 -3 3 3 1 step 1: find the eigenvalues of matrix a "2's" step 2: find the corresponding eigenvectors of a step 3: createp from eigenvectors in step 2 step 4 create d with matching eigenvalues.