What is the determinant of J = [[5, 4], [2, 3]]? (2022)

Practice Questions

Q1
What is the determinant of J = [[5, 4], [2, 3]]? (2022)
  1. 7
  2. 8
  3. 9
  4. 10

Questions & Step-by-Step Solutions

What is the determinant of J = [[5, 4], [2, 3]]? (2022)
  • Step 1: Identify the matrix J, which is [[5, 4], [2, 3]].
  • 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 = 5, b = 4, c = 2, d = 3.
  • Step 4: Calculate a*d, which is 5*3 = 15.
  • Step 5: Calculate b*c, which is 4*2 = 8.
  • Step 6: Subtract the result of b*c from a*d: 15 - 8 = 7.
  • Step 7: Conclude that the determinant of J is 7.
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