Which of the following is an identity matrix? (2019)

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Question: Which of the following is an identity matrix? (2019)

Options:

Correct Answer: [[1, 0], [0, 1]]

Exam Year: 2019

Solution:

An identity matrix is a square matrix with ones on the diagonal and zeros elsewhere. The matrix [[1, 0], [0, 1]] fits this definition.

Which of the following is an identity matrix? (2019)

Which of the following is an identity matrix? (2019)

Step 1: Understand what an identity matrix is. It is a square matrix.
Step 2: Know that a square matrix has the same number of rows and columns.
Step 3: Identify the specific characteristics of an identity matrix: it has ones (1) on the diagonal (from the top left to the bottom right) and zeros (0) everywhere else.
Step 4: Look at the given matrices and check if they are square (same number of rows and columns).
Step 5: For each square matrix, check if the diagonal elements are all ones and all other elements are zeros.
Step 6: If a matrix meets these criteria, it is an identity matrix.

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