What is the determinant of I = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]? (2015)

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Question: What is the determinant of I = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]? (2015)

Options:

Correct Answer: 1

Exam Year: 2015

Solution:

Det(I) = 1.

What is the determinant of I = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]? (2015)

What is the determinant of I = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]? (2015)

Step 1: Understand what a determinant is. The determinant is a special number that can be calculated from a square matrix.
Step 2: Identify the matrix I. The matrix I is the identity matrix, which is [[1, 0, 0], [0, 1, 0], [0, 0, 1]].
Step 3: Recall the property of the identity matrix. The determinant of the identity matrix is always 1, regardless of its size.
Step 4: Conclude that since I is the identity matrix, its determinant is Det(I) = 1.

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