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What is the value of the determinant of the matrix B = [[5, 1], [2, 3]]? (2022)

Practice Questions

Q1
What is the value of the determinant of the matrix B = [[5, 1], [2, 3]]? (2022)
  1. 10
  2. 15
  3. 7
  4. 5

Questions & Step-by-Step Solutions

What is the value of the determinant of the matrix B = [[5, 1], [2, 3]]? (2022)
  • Step 1: Identify the elements of the matrix B. The matrix B is [[5, 1], [2, 3]]. This means: a = 5, b = 1, c = 2, d = 3.
  • Step 2: Use the formula for the determinant of a 2x2 matrix, which is: Det(B) = (a * d) - (b * c).
  • Step 3: Substitute the values into the formula: Det(B) = (5 * 3) - (1 * 2).
  • Step 4: Calculate the first part: 5 * 3 = 15.
  • Step 5: Calculate the second part: 1 * 2 = 2.
  • Step 6: Subtract the second part from the first part: 15 - 2 = 13.
  • Step 7: The value of the determinant of matrix B is 13.
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