Write a class named Homework in IntelliJ that implements: (1) A function that performs dot product between two vectors a and b: public static double dotProduct(double[] a, double[] b) (2) A function that performs matrix multiplication between aMat and bMat and returns the result in cMat public static void matMultiply(double[][] aMat, double[][] bMat, double[][] cMat) (3) A function that takes a line (String) as input and breaks it up into words that may be separated by space, comma or tab: public static String[] getLineWords(String line) (4) A main function that tests all the above functions and prints out the results.

Code written (has errors, but this is the structure/ method I'm going for)

public class Homework { public static double dotProduct(double[] a, double[] b) { double result = 0; for (int i = 0; i < a.length; i++) { result += a[i] * b[i]; } return result; } public static void matMultiply(double[][] aMat, double[][] bMat, double[][] cMat) {

}

public static void printMat(double[][] mat) { // needed in code

}

public static String[] getLineWords(String line) {

String[] words = line.split("[, \t]+"); return words;

}

public static void main(String[] args) {

double[] a = {1, 2, 3};

double[] b = {4, 5, 6};

double dotProductResult = dotProduct(a, b);

System.out.println("Dot product: " + dotProductResult);

//matMultiply

//Allocate memory for aMat, bMat, cMat

Double[][] aMat = newdouble[3][3];

Homework.matMultiply(aMat, bMat, cMat);

Homework.printMat(cMat); //needed in code

//homework.matMultiply();

double result = 1;

result = result - 1; //result--;

}