Topic: Engineering Mathematics
The determinant of the matrix [[7, 0, 0, 0], [9, 3, 0, 0], [4, -6, -2, 0], [0, 0, 0, 1]] is
- A. 0
- B. 1
- C. -42
- D. -68
Answer: C. -42
Explanation: If the matrix is an upper triangular matrix or a lower triangular matrix, then the determinant is the product of the principal diagonal elements. The given matrix is a lower triangular matrix, so its determinant value is 7 * 3 * -2 * 1 = -42.