In Data Structures, John has executed the following pseudocode to perform an operation with the following input values. Then determine x with the respect to the following input values:Pseudocode:input A,B n*n matrixoutput C n*n matrixdefine i, j, kfor i from 0 to n for j from 0 to n C[i,j] = 0 end forend forfor i from 0 to n for j from 0 to n for k from 0 to n C[i, j] = C[i, j] + A[i, k] * B[k, j] end for end forend forInput values:N = 2A[N][N] = { {1, 2}, {3, 4} }B[N][N] = { {5, 4}, {1, 2} }Output:C[N][N] = xOptions:7 198 208 207 197 819 2019 207 8

To determine the value of x, we need to follow the steps outlined in the given pseudocode.

Step 1: Initialize the matrix C with all elements set to 0. Step 2: Iterate over the rows of matrix A and matrix B. Step 3: For each row of A, iterate over the columns of B. Step 4: For each element in the resulting row of matrix C, calculate the sum of the products of corresponding elements from matrix A and matrix B. Step 5: Assign the calculated value to the corresponding element in matrix C. Step 6: Repeat steps 3-5 for all rows and columns of matrices A and B. Step 7: The resulting matrix C will contain the desired values.

Now, let's apply these steps to the given input values:

Step 1: Initialize matrix C as a 2x2 matrix with all elements set to 0. C = { {0, 0}, {0, 0} }

Step 2: Iterate over the rows of matrix A and matrix B.

For i = 0: Step 3: Iterate over the columns of B. For j = 0: Step 4: Calculate the sum of the products of corresponding elements from matrix A and matrix B. C[0, 0] = C[0, 0] + A[0, 0] * B[0, 0] = 0 + 1 * 5 = 5 C[0, 0] = C[0, 0] + A[0, 1] * B[1, 0] = 5 + 2 * 1 = 7

For j = 1: C[0, 1] = C[0, 1] + A[0, 0] * B[0, 1] = 0 + 1 * 4 = 4 C[0, 1] = C[0, 1] + A[0, 1] * B[1, 1] = 4 + 2 * 2 = 8

For i = 1: For j = 0: C[1, 0] = C[1, 0] + A[1, 0] * B[0, 0] = 0 + 3 * 5 = 15 C[1, 0] = C[1, 0] + A[1, 1] * B[1, 0] = 15 + 4 * 1 = 19

For j = 1: C[1, 1] = C[1, 1] + A[1, 0] * B[0, 1] = 0 + 3 * 4 = 12 C[1, 1] = C[1, 1] + A[1, 1] * B[1, 1] = 12 + 4 * 2 = 20

Step 6: Repeat steps 3-5 for all rows and columns of matrices A and B.

The resulting matrix C is: C = { {7, 8}, {19, 20} }

Therefore, the value of x is 7 8 19 20.