Programming Exercise 8.5 describes how to perform matrix addition. Suppose you have multiple processors, so you can speed up the matrix addition. Implement the following method in parallel.

Write a test program that measures the execution time for adding two 2,000 * 2,000 matrices using the parallel method and sequential method, respectively.

Write a method to add two matrices. The header of the method is as follows:

public static double [][] addMartix(double[][] a, double[][] b)

In order to be added, the two matrices must have the same dimensions and the same or compatible types of elements. Let?c?be the resulting matrix. Each element?cij?is?aij?+?bij. For example, for two 3 ? 3 matrices?a?and?b,?c?is

Write a test program that prompts the user to enter two 3 ? 3 matrices and displays their sum. Here is a sample run:

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public static double[][] parallelAddMatrix( double[] [] a, double[][] b) b1 b12 b13 a12 a13 a23 аз2 (a11 + b1 aj2 + b12 аз1 + bzi az2 + by2 аз1 + byi aз + b32 а1з + biз a21 + | b21 b2 by3 b31 b32 b33) аз + bzs азз + bзз/ аз аз, 3ез