What is the value of the determinant ?

Answer and explanation

Correct answer: B. -10

  1. Step 1: Evaluate the determinant using the rule .
  2. Step 2: Plug in , , , and : .
  3. Step 3: Performing the arithmetic gives .
Answer
-10.
Why not the others: 10 reverses the sign (); -24 adds rather than subtracts the constant term in the final step; 118 adds the diagonal products () instead of subtracting.

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