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

Practice Questions

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

Questions & Step-by-Step Solutions

What is the determinant of J = [[2, 3], [4, 5]]? (2020)
  • Step 1: Identify the matrix J, which is [[2, 3], [4, 5]].
  • Step 2: Write down the formula for the determinant of a 2x2 matrix, which is (a*d) - (b*c), where the matrix is [[a, b], [c, d]].
  • Step 3: Assign the values from the matrix J to the variables: a = 2, b = 3, c = 4, d = 5.
  • Step 4: Substitute the values into the determinant formula: (2*5) - (3*4).
  • Step 5: Calculate 2*5, which equals 10.
  • Step 6: Calculate 3*4, which equals 12.
  • Step 7: Subtract the second result from the first: 10 - 12.
  • Step 8: The final result is -2, which is the determinant of matrix J.
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