Question

$$\left| \begin{matrix} x+1 & x+2 & x+4 \\ x+3 & x+5 & x+8 \\ x+7 & x+10 & x+14 \end{matrix} \right|$$

• A. 2
• B. -4
• C. 0
• D. None of the above

Hint:

When solving for a determinant, use cofactor expansion or row reduction techniques to simplify the matrix. Check all terms carefully.

Answer 1

The Correct Option is D

To evaluate the determinant, use cofactor expansion along the first row. After calculation, we find that the determinant does not simplify to any of the options listed. Therefore, the correct answer is (d).