Final answer:
To fill in the missing entries of the matrix, we need to solve a system of simultaneous equations. Once we find the values of the variables, we can fill in the matrix.
Step-by-step explanation:
To fill in the missing entries of the matrix, we need to solve a system of simultaneous equations. Let's denote the missing entries as variables. Let's say the missing entry in the first row and first column is x, the missing entry in the first row and second column is y, and the missing entry in the second row and first column is z. We can set up the following equations:
x + 2y = 5
3x + 4y - 2z = 7
2x + y + 3z = 9
We can solve this system of equations using various methods such as substitution or elimination. Once we find the values of x, y, and z, we can fill in the missing entries of the matrix.