Topic: Engineering Mathematics
Let A = [[0, 0, -1], [0, -1, 0], [-1, 0, 0]]. The only correct statement about the matrix A is
- A. A is ZERO matrix
- B. A² = I
- C. A^-1 does not exist
- D. A = (-1)I, where I is a Unit matrix.
Answer: B. A² = I
Explanation: Multiplying the matrix A by itself (A * A) gives [[1, 0, 0], [0, 1, 0], [0, 0, 1]], which is the identity matrix I. Therefore, A² = I is the correct statement.