Which of the following is a characteristic of a diagonal matrix? (2022)

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Question: Which of the following is a characteristic of a diagonal matrix? (2022)

Options:

Correct Answer: Only diagonal elements are non-zero

Exam Year: 2022

Solution:

A diagonal matrix has non-zero elements only on its diagonal, while all off-diagonal elements are zero.

Which of the following is a characteristic of a diagonal matrix? (2022)

Which of the following is a characteristic of a diagonal matrix? (2022)

Step 1: Understand what a matrix is. A matrix is a rectangular array of numbers arranged in rows and columns.
Step 2: Identify what a diagonal matrix is. A diagonal matrix is a special type of matrix.
Step 3: Learn about the diagonal of a matrix. The diagonal of a matrix runs from the top left corner to the bottom right corner.
Step 4: Recognize the key feature of a diagonal matrix. In a diagonal matrix, the only numbers that can be non-zero are those on the diagonal.
Step 5: Understand that all other numbers (off-diagonal elements) must be zero in a diagonal matrix.

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