Identify which one of the following statements is CORRECT:
A -1 is equal to Adj (A) if the value of the determinant A is unity
For an invertible square matrix, \(A^{-1}=\frac{\operatorname{adj}(A)}{\det A}\). If det A =1, its inverse equals its adjugate. Interchanging two columns reverses the determinant’s sign, transposition leaves it unchanged, and ordinary scalar-style division is not a general matrix operation.
| List-I (Relief Materials) | List-II (Color Code) |
| A. Shelter | I. Yellow |
| B. Clothes | II. Khaki |
| C. Food | III. Red |
| D. Medicine | IV. Brown |
Which of the following is NOT a state function or state variable in a thermodynamic system?