Solution: The determinant of the identity matrix is 1.
Steps: 4
Step 1: Identify the matrix given in the question. It is a 3x3 matrix with the following values: | 1 0 0 | | 0 1 0 | | 0 0 1 |.
Step 2: Recognize that this matrix is called the identity matrix. The identity matrix has 1s on the diagonal (from the top left to the bottom right) and 0s elsewhere.
Step 3: Understand that the determinant of the identity matrix is always 1, regardless of its size.
Step 4: Conclude that the determinant of the given matrix is 1.
