What is the determinant of G = [[2, 2], [2, 2]]? (2020)

Practice Questions

Q1
What is the determinant of G = [[2, 2], [2, 2]]? (2020)
  1. 0
  2. 4
  3. 2
  4. 1

Questions & Step-by-Step Solutions

What is the determinant of G = [[2, 2], [2, 2]]? (2020)
  • Step 1: Identify the matrix G. In this case, G is a 2x2 matrix: [[2, 2], [2, 2]].
  • Step 2: Recall the formula for the determinant of a 2x2 matrix. The formula is: Det(G) = (a*d) - (b*c), where G = [[a, b], [c, d]].
  • Step 3: Assign the values from the matrix to the variables: a = 2, b = 2, c = 2, d = 2.
  • Step 4: Plug the values into the determinant formula: Det(G) = (2*2) - (2*2).
  • Step 5: Calculate (2*2) which equals 4.
  • Step 6: Calculate (2*2) again which also equals 4.
  • Step 7: Subtract the second result from the first: 4 - 4 = 0.
  • Step 8: Conclude that the determinant of G is 0.
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