QUESTION 2 (MATRIX MANIPULATION A matrix is an array of numbers of size m by n (i.e., mxn). When we multiply 2 matrices, we multiply the matching numbers, then sum them up. Multiplying a matrix of size mxn with another matrix of size nxq will result in a matrix of size mxq. An example is shown in Figure 2: 18:11 S X pa + ad pb+ge pc +qf ra + sd rb + se ra + sf ta + ud tb + ue to + uf Matrix 3 x 2 Matrix 2 x 3 Matrix 3 x 3 Figure 1: Multiplication of Matrix 3 x 2 and 2 x 3 The determinant of a matrix represented by two vertical lines on either side |A is a special number that can be calculated from a square matrix. Figure 2 shows an example of how a determinant for matrix A is calculated: a la Matrix A la a 6 IA = ad - be a Matrix B ERI d B = a (ei - hf) - b (di - g) + c (dh - ge) Figure 2: Determinant of Matrix 2 x 2 and 3 X 3 Write a C++ program that multiplies 2 matrices and return the determinant of the multiplied matrix. Your program shall include the following: a) Define two 2 dimensional arrays, P and Q that each represents a matrix of size 3 x 2 and a matrix of size 2 x 3. Request the user to enter the values for the 2 arrays using advanced pointer notations (refer to your slides for the list of array pointer notations). b) Create a function named multMatrix( that passes as arguments, the values of array P and Q multiplies them and store the results in a new matrix PQ. Use pointer notations to multiply your arrays. Display your multiplied arrays. c) Create a function named find Determ( that passes as argument, the values of array PQ and return its determinant from the function. Use advanced pointer notations to perform your calculation. Display your result in main(). The basic program and function stubs are given below as a guideline. #include using namespace std; //declare rows and columns sizes //declare all empty arrays here as global void multMatrix, complete your prototype int findDeterm :/ complete your prototype int main() //get user input for array values using nested loop Y /call multMatrix) e pass arrays to multiply //call findDeterm) pass multiplied 2d array //display result from findDeterm 3 void multMatrix () //pass 2 arrays ( //create if-else condition in nested loop to determine index position //multiply arrays //display array } int findeterm() //pass 2d array //more codes here return determinant, Sample Output: Enter values for arrav P: -9 14 1 -5 3 7 Enter values for array Q: 1 2 3 4 5 6 Matrix P x Q is : 33 1-14 24 38 -18 34 57 -27 | 51 IPQI or the determinant of PQ is : 2464