COMEDK · Maths · 22. Determinants
The value of \(\left|\begin{array}{ccc}441 & 442 & 443 \\ 445 & 446 & 447 \\ 449 & 450 & 451\end{array}\right|\) is
- A \(441 \times 446 \times 4510\)
- B \(0\)
- C \(-1\)
- D \(1\)
Answer & Solution
Correct Answer
(B) \(0\)
Step-by-step Solution
Detailed explanation
We have, \[ \left|\begin{array}{lll} 441 & 442 & 443 \\ 445 & 446 & 447 \\ 449 & 450 & 451 \end{array}\right| \] On applying, \(C_{1} \rightarrow C_{1}-C_{2}, C_{2} \rightarrow C_{2}-C_{3}\), we get…
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