What is the value of the determinant ?

Answer and explanation

Correct answer: B. 20

  1. Step 1: The determinant of a matrix is defined as .
  2. Step 2: Substitute the entries , , , and : .
  3. Step 3: Calculate the individual products and subtract: .
Answer
20.
Why not the others: -10 adds rather than subtracts the constant term in the final step; 9 omits the factor of 2 in the denominator during simplification; -20 reverses the sign ().

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