What is the value of the determinant ?

Answer and explanation

Correct answer: C. 24

  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
24.
Why not the others: -24 reverses the sign (); 39 adds rather than subtracts the constant term in the final step; 4 adds the diagonal products () instead of subtracting.

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