Final answer:
To find matrix b such that [1, 3, 2; 3, 4, 0; -1, 1, b] = [-1, 0], simply set up a system of equations by equating the corresponding elements and solve for b. In this case, b = 1/3.
Step-by-step explanation:
To find matrix b such that [1, 3, 2; 3, 4, 0; -1, 1, b] = [-1, 0], we can set up a system of equations by equating the corresponding elements:
1 + 3b = -1
2 + 4b = 0
-1 + b = 0
Solving this system of equations, we find that b = 1/3. Therefore, the matrix b is [1, 3, 2; 3, 4, 0; -1, 1, 1/3].