Given information:
We are given two equations:
1. ad − bc = 2
2. ps − qr = 1

Explanation:
To find the determinant of a matrix, we need to have a square matrix. In this case, we have a 2x2 matrix with elements a, b, c, and d. Let's represent this matrix as M.

Matrix M:
| a b |
| c d |

The determinant of the matrix M is given by the formula: det(M) = ad − bc.

Finding the determinant:
To find the determinant of M, we need to calculate the value of ad − bc. We are given that ad − bc = 2, so the determinant of M is 2.

Matrix N:
Similarly, we have another 2x2 matrix with elements p, q, r, and s. Let's represent this matrix as N.

Matrix N:
| p q |
| r s |

The determinant of the matrix N is given by the formula: det(N) = ps − qr.

Finding the determinant:
To find the determinant of N, we need to calculate the value of ps − qr. We are given that ps − qr = 1, so the determinant of N is 1.

Conclusion:
The determinant of a matrix M is 2, and the determinant of a matrix N is 1.