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What is the determinant of H = [[3, 2], [1, 5]]? (2021)

Practice Questions

Q1
What is the determinant of H = [[3, 2], [1, 5]]? (2021)
  1. 7
  2. 8
  3. 10
  4. 15

Questions & Step-by-Step Solutions

What is the determinant of H = [[3, 2], [1, 5]]? (2021)
  • Step 1: Identify the matrix H, which is [[3, 2], [1, 5]].
  • Step 2: Write down the formula for the determinant of a 2x2 matrix: det(H) = (a*d) - (b*c), where H = [[a, b], [c, d]].
  • Step 3: Assign the values from the matrix to the variables: a = 3, b = 2, c = 1, d = 5.
  • Step 4: Substitute the values into the formula: det(H) = (3*5) - (2*1).
  • Step 5: Calculate the first part: 3*5 = 15.
  • Step 6: Calculate the second part: 2*1 = 2.
  • Step 7: Subtract the second part from the first part: 15 - 2 = 13.
  • Step 8: Conclude that the determinant of H is 13.
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