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What is the determinant of G = [[5, 4], [2, 3]]? (2020)

Practice Questions

Q1
What is the determinant of G = [[5, 4], [2, 3]]? (2020)
  1. 7
  2. 10
  3. 11
  4. 12

Questions & Step-by-Step Solutions

What is the determinant of G = [[5, 4], [2, 3]]? (2020)
  • Step 1: Identify the elements of the matrix G. The matrix G is [[5, 4], [2, 3]].
  • Step 2: Label the elements of the matrix. Let a = 5, b = 4, c = 2, d = 3.
  • Step 3: Use the formula for the determinant of a 2x2 matrix, which is Det(G) = (a * d) - (b * c).
  • Step 4: Substitute the values into the formula: Det(G) = (5 * 3) - (4 * 2).
  • Step 5: Calculate the first part: 5 * 3 = 15.
  • Step 6: Calculate the second part: 4 * 2 = 8.
  • Step 7: Subtract the second part from the first part: 15 - 8 = 7.
  • Step 8: Conclude that the determinant of G is 7.
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