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What is the determinant of the matrix [[0, 1], [1, 0]]?

Practice Questions

Q1
What is the determinant of the matrix [[0, 1], [1, 0]]?
  1. 0
  2. 1
  3. -1
  4. 2

Questions & Step-by-Step Solutions

What is the determinant of the matrix [[0, 1], [1, 0]]?
  • Step 1: Identify the matrix. The matrix is [[0, 1], [1, 0]].
  • Step 2: Write down the formula for the determinant of a 2x2 matrix. The formula is (a*d) - (b*c), where the matrix is [[a, b], [c, d]].
  • Step 3: Assign the values from the matrix to the variables: a = 0, b = 1, c = 1, d = 0.
  • Step 4: Substitute the values into the formula: (0*0) - (1*1).
  • Step 5: Calculate the first part: 0*0 = 0.
  • Step 6: Calculate the second part: 1*1 = 1.
  • Step 7: Subtract the second part from the first part: 0 - 1.
  • Step 8: The result is -1, which is the determinant of the matrix.
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