Construct the class of non-negative 3x3 Matrices containing non-negative double elements * with the following functionalities: A=[3][3] * 1. Determinant method returns the double value of the matrix determinant: det(A)= a[1][1] *(a[2][2]*a[3][3]-a[2][3]*a[3]2]) + a[1][2] *(a[2][3]*a[3][1]-a[2][1]*a[3][3]) + a[1][3] *(a[2][1]*a[3][2]-a[2][2]*a[3][1]) 2. isNull method returns true if the matrix is a Null Matrix (all the elements are 0). Otherwise, isNull method returns false. 3. isUMatrix method returns true if the matrix is a U Matrix.(all elements are 1) Otherwise the return value is false. 4. Multiplication results in a 3x3 matrix and takes a constant of double type as the only input parameter. The resulting matrix R is: R=d*A= d* each element 5. Addition method returns a 3x3 sum of two matrices (it takes the addend matrix as an input parameter). The resulting matrix R is: R = A + B = add each element (r[1][1]= a[1][1]+b[1][1]) 5.B Given matrix X and matrix Y. Write a program segment that instantiates matrix Z and sets its elements: Z=2*X+Y; Example Output: Matrix A: 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 Matrix A IsNull trueMatrix A IsU falseMatrix A Determinant 0.000000Updated Matrix A: 0.000000 0.000000 0.000000 0.000000 5.000000 0.000000 0.000000 0.000000 0.000000 Matrix A IsNull falseMatrix A IsU falseMatrix A Determinant 0.000000Updated Matrix A: 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 Matrix A IsNull falseMatrix A IsU trueMatrix A Determinant 0.000000Updated Matrix A: 1.000000 1.000000 1.000000 1.000000 5.000000 1.000000 1.000000 1.000000 5.000000 Matrix A IsNull falseMatrix A IsU falseMatrix A Determinant 16.000000Matrix X: 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 Set Matrix X to 4 * A: 4.000000 4.000000 4.000000 4.000000 20.000000 4.000000 4.000000 4.000000 20.000000 Matrix X IsNull falseMatrix X IsU falseMatrix X Determinant 1024.000000Set Matrix Y to A + X: 5.000000 5.000000 5.000000 5.000000 25.000000 5.000000 5.000000 5.000000 25.000000 Matrix Y IsNull falseMatrix Y IsU falseMatrix Y Determinant 2000.000000Set Matrix Z to 2*X + Y: 13.000000 13.000000 13.000000 13.000000 65.000000 13.000000 13.000000 13.000000 65.000000 Matrix Z IsNull falseMatrix Z IsU falseMatrix Z Determinant 35152.000000
