Annihilation Technique Suppose the n n matrix A has eigenvalues 1,... ,n ordered by |1| > |2| > |3||n |, with linearly independent eigenvectors v(1) , v(2) ,... , v(n) . a. Show that if the Power method is applied with an initial vector x(0) given by x(0) = 2v(2) + 3v(3) ++ n v(n) , then the sequence {(m) } described in Algorithm 9.1 will converge to 2. b. Show that for any vector x = n i=1 iv(i) , the vector x(0) = (A 1 I)x satisfies the property given in part (a). c. Obtain an approximation to 2 for the matrices in Exercise 1. d. Show that this method can be continued to find 3 using x(0) = (A 2 I)(A 1 I)x

1. How is total magnification of an image determined Objective magnificationx10 2. Determine population size using markrecapture method N=(M1)(T2)/(M2) M1=# marked and released (given) M2=# marked counted T2= total number counted 3. Determine population size using removal sampling method Plot # removed each period on Y axis Plot # previously removed on...