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What is the determinant of H = [[3, 2], [1, 4]]? (2020)

Practice Questions

Q1
What is the determinant of H = [[3, 2], [1, 4]]? (2020)
  1. 10
  2. 11
  3. 12
  4. 13

Questions & Step-by-Step Solutions

What is the determinant of H = [[3, 2], [1, 4]]? (2020)
  • Step 1: Identify the matrix H, which is [[3, 2], [1, 4]].
  • Step 2: Write down the formula for the determinant of a 2x2 matrix, which is (a*d) - (b*c).
  • Step 3: Assign the values from the matrix to the variables: a = 3, b = 2, c = 1, d = 4.
  • Step 4: Calculate a*d, which is 3*4 = 12.
  • Step 5: Calculate b*c, which is 2*1 = 2.
  • Step 6: Subtract the result of b*c from a*d: 12 - 2 = 10.
  • Step 7: Conclude that the determinant of H is 10.
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