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If F = [[1, 0], [0, 1]], what is F^(-1)?

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Question: If F = [[1, 0], [0, 1]], what is F^(-1)?

Options:

  1. [[1, 0], [0, 1]]
  2. [[0, 1], [1, 0]]
  3. [[1, 1], [1, 1]]
  4. [[0, 0], [0, 0]]

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

Solution: 

The inverse of the identity matrix F is itself, so F^(-1) = F.

If F = [[1, 0], [0, 1]], what is F^(-1)?

Practice Questions

Q1
If F = [[1, 0], [0, 1]], what is F^(-1)?
  1. [[1, 0], [0, 1]]
  2. [[0, 1], [1, 0]]
  3. [[1, 1], [1, 1]]
  4. [[0, 0], [0, 0]]

Questions & Step-by-Step Solutions

If F = [[1, 0], [0, 1]], what is F^(-1)?
  • Step 1: Identify the matrix F, which is given as [[1, 0], [0, 1]].
  • Step 2: Recognize that this matrix F is the identity matrix.
  • Step 3: Understand that the identity matrix has a special property: its inverse is itself.
  • Step 4: Therefore, conclude that F^(-1) is equal to F.
  • Matrix Inversion – Understanding that the inverse of the identity matrix is the identity matrix itself.
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