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

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

Options:

  1. It is always square
  2. It has all elements as 1
  3. It is always a zero matrix
  4. It has a determinant of 0

Correct Answer: It is always square

Exam Year: 2019

Solution: 

An identity matrix is always square and has 1s on the diagonal and 0s elsewhere.

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

Practice Questions

Q1
Which of the following is a property of an identity matrix? (2019)
  1. It is always square
  2. It has all elements as 1
  3. It is always a zero matrix
  4. It has a determinant of 0

Questions & Step-by-Step Solutions

Which of the following is a property of an identity matrix? (2019)
  • Step 1: Understand what an identity matrix is. It is a special type of matrix used in mathematics.
  • Step 2: Know that an identity matrix is always square, meaning it has the same number of rows and columns.
  • Step 3: Identify the elements of the identity matrix. It has 1s on the diagonal (from the top left to the bottom right).
  • Step 4: Recognize that all other elements (not on the diagonal) are 0s.
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