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

Practice Questions

Q1
Which of the following is a characteristic of a diagonal matrix? (2022)
  1. All elements are zero
  2. Only diagonal elements are non-zero
  3. All elements are equal
  4. It is always square

Questions & Step-by-Step Solutions

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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