Which of the following is an identity matrix? (2019)
Practice Questions
Q1
Which of the following is an identity matrix? (2019)
[[1, 0], [0, 1]]
[[1, 1], [1, 1]]
[[0, 1], [1, 0]]
[[2, 0], [0, 2]]
Questions & Step-by-Step Solutions
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.
