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What is the determinant of the matrix G = [[2, 4], [1, 3]]? (2021)

Practice Questions

Q1
What is the determinant of the matrix G = [[2, 4], [1, 3]]? (2021)
  1. 2
  2. 4
  3. 6
  4. 8

Questions & Step-by-Step Solutions

What is the determinant of the matrix G = [[2, 4], [1, 3]]? (2021)
  • Step 1: Identify the elements of the matrix G. The matrix G is [[2, 4], [1, 3]].
  • Step 2: Label the elements of the matrix. Let a = 2, b = 4, c = 1, 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) = (2 * 3) - (4 * 1).
  • Step 5: Calculate the first part: 2 * 3 = 6.
  • Step 6: Calculate the second part: 4 * 1 = 4.
  • Step 7: Subtract the second part from the first part: 6 - 4 = 2.
  • Step 8: Conclude that the determinant of the matrix G is 2.
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