Problem

Write a method to multiply two matrices. The header of the method is:public static double[...

Write a method to multiply two matrices. The header of the method is:

public static double[][]

      multiplyMatrix(double[][] a, double[][] b)

To multiply matrix a by matrix b, the number of columns in a must be the same as the number of rows in b, and the two matrices must have elements of the same or compatible types. Let c be the result of the multiplication. Assume the column size of matrix a is n. Each element cij is ai1 × b1j+ ai2 × b2j+ c + ain × bnj. For example, for two 3 × 3 matrices a and b, c is

where cij = ai1 × b1j+ ai2 × b2j+ ai3 × b3j.

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

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