1. Develop a full implementation of StdArrayIO (implement all 12 methods indicated in the API). 2. Write a library Matrix that implements the following API: (See Section 1.4.) As a test client, use...

1. Develop a full implementation of StdArrayIO (implement all 12 methods indicated in the API).

2. Write a library Matrix that implements the following API:

(See Section 1.4.) As a test client, use the following code, which performs the same calculation as Markov (Program 1.6.3):

Mathematicians and scientists use mature libraries or special-purpose matrix-processing languages for such tasks. See the booksite for details on using such libraries.

Program 6

Program Write a program that uses Math.sin() and Math.cos() to check that the value of cos2 + sin2 is approximately 1 for any  entered as a command-line argument. Just print the value. Why are the values not always exactly 1? 1.2.3 Suppose that a and b are boolean variables. Show that the expression (!(a && b) && (a || b)) || ((a && b) || !(a || b)) 1.6.3

Modify Transition to handle pages with no outgoing links, by filling rows corresponding to such pages with the value 1/n, where n is the number of columns.