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If A = [[1, 2], [3, 4]], what is the determinant of A?

Practice Questions

Q1
If A = [[1, 2], [3, 4]], what is the determinant of A?
  1. -2
  2. 2
  3. 0
  4. 4

Questions & Step-by-Step Solutions

If A = [[1, 2], [3, 4]], what is the determinant of A?
  • Step 1: Identify the matrix A, which is [[1, 2], [3, 4]].
  • 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 = 1, b = 2, c = 3, d = 4.
  • Step 4: Substitute the values into the formula: (1*4) - (2*3).
  • Step 5: Calculate 1*4, which equals 4.
  • Step 6: Calculate 2*3, which equals 6.
  • Step 7: Subtract the second result from the first: 4 - 6.
  • Step 8: The final result is -2, which is the determinant of matrix A.
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