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(Algebra: multiply two matrices) 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 + . . . + 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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