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If H = [[1, 2], [2, 4]], what is det(H)? (2020)

Practice Questions

Q1
If H = [[1, 2], [2, 4]], what is det(H)? (2020)
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Questions & Step-by-Step Solutions

If H = [[1, 2], [2, 4]], what is det(H)? (2020)
  • Step 1: Identify the matrix H, which is given as H = [[1, 2], [2, 4]].
  • Step 2: Recall the formula for the determinant of a 2x2 matrix, which is det([[a, b], [c, d]]) = (a * d) - (b * c).
  • Step 3: In our matrix H, a = 1, b = 2, c = 2, and d = 4.
  • Step 4: Substitute the values into the determinant formula: det(H) = (1 * 4) - (2 * 2).
  • Step 5: Calculate (1 * 4) which equals 4.
  • Step 6: Calculate (2 * 2) which equals 4.
  • Step 7: Subtract the second result from the first: 4 - 4 = 0.
  • Step 8: Conclude that the determinant of H is 0.
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