What is the value of the determinant ?

Answer and explanation

Correct answer: B. 26

  1. Step 1: For a matrix, the determinant equals the product of the diagonal elements minus the product of the off-diagonal elements: .
  2. Step 2: With the given values, write .
  3. Step 3: Calculating the difference yields .
Answer
26.
Why not the others: -26 reverses the sign (); -38 adds the diagonal products () instead of subtracting; -16 adds rather than subtracts the constant term in the final step.

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