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What is the determinant of F = [[2, 0], [0, 3]]? (2023)

Practice Questions

Q1
What is the determinant of F = [[2, 0], [0, 3]]? (2023)
  1. 0
  2. 2
  3. 3
  4. 6

Questions & Step-by-Step Solutions

What is the determinant of F = [[2, 0], [0, 3]]? (2023)
  • Step 1: Identify the matrix F, which is [[2, 0], [0, 3]].
  • Step 2: Write down the formula for the determinant of a 2x2 matrix, which is: determinant = (a * d) - (b * c).
  • Step 3: In our matrix, a = 2, b = 0, c = 0, and d = 3.
  • Step 4: Substitute the values into the formula: determinant = (2 * 3) - (0 * 0).
  • Step 5: Calculate (2 * 3) which equals 6.
  • Step 6: Calculate (0 * 0) which equals 0.
  • Step 7: Subtract the second result from the first: 6 - 0 = 6.
  • Step 8: Conclude that the determinant of F is 6.
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