Abacteria population is 3000 at time t = 0 and its rate of growth is 1000 · 8t bacteria per hour after t hours. what is the population after one hour? (round your answer to the nearest whole number.)

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.