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What is the determinant of G = [[3, 2], [1, 4]]? (2022)

Practice Questions

Q1
What is the determinant of G = [[3, 2], [1, 4]]? (2022)
  1. 10
  2. 8
  3. 6
  4. 12

Questions & Step-by-Step Solutions

What is the determinant of G = [[3, 2], [1, 4]]? (2022)
  • Step 1: Identify the matrix G, which is [[3, 2], [1, 4]].
  • Step 2: Recognize that the determinant of a 2x2 matrix [[a, b], [c, d]] is calculated using the formula (a*d) - (b*c).
  • Step 3: In our matrix G, a = 3, b = 2, c = 1, and d = 4.
  • Step 4: Substitute the values into the formula: (3*4) - (2*1).
  • Step 5: Calculate 3*4, which equals 12.
  • Step 6: Calculate 2*1, which equals 2.
  • Step 7: Subtract the second result from the first: 12 - 2.
  • Step 8: The final result is 10, which is the determinant of matrix G.
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