Final answer:
The student seems to be asking to evaluate the determinant of a matrix using specific values of a, b, and c. The provided values are a = 1, b = 0.0211, and c = -0.0211. To solve this, one would substitute these values into the matrix and calculate the determinant using standard methods.
Step-by-step explanation:
The student's question appears to be asking for the evaluation of a determinant for a matrix given specific values for a, b, and c. Unfortunately, the question is not presented in a standard format conducive to typing directly. We can, however, assume that the student is dealing with a standard 3x3 matrix and is required to find the determinant where the elements of the matrix are functions of a, b, and c.
If we are using the given values as follows: a = 1, b = 0.0211, and c = -0.0211; And the matrix is:
| a b c |
| a1 b1 c1|
| a-1 b-1 c-1|
We could replace the entries with their numerical equivalents (a1, b1, and c1 typically would stand for a, b, and c plus one respectively, and a-1, b-1, c-1 for a, b, and c minus one) and then calculate the determinant using the standard rule for 3x3 matrices.
The quadratic formula mentioned in the provided information, -0.0211 ± √(0.0211)² − 4(1)(-0.0211) / 2(1), seems unrelated to the task of determining the determinant but suggests that a separate quadratic equation with the same coefficients might be under discussion.