What is the value of the determinant ?

Answer and explanation

Correct answer: D. -1

  1. Step 1: Evaluate the determinant using the rule .
  2. Step 2: Plug in , , , and : .
  3. Step 3: Performing the arithmetic gives .
Answer
-1.
Why not the others: 1 reverses the sign (); -49 adds the diagonal products () instead of subtracting; 10 adds rather than subtracts the constant term in the final step.

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