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GUJCET · Maths · Determinants
The sum of minor and co-factor of 7 of determinant \(\left|\begin{array}{ccc}2 & 3 & 5 \\ 1 & 0 & 7 \\ -1 & -2 & 4\end{array}\right|\) is _________
- A \(0\)
- B \(-2\)
- C 2
- D \(-1\)
Answer & Solution
Correct Answer
(A) \(0\)
Step-by-step Solution
Detailed explanation
determinant \(M_{23} = \left|\begin{array}{cc}2 & 3 \\ -1 & -2\end{array}\right| = (2)(-2) - (3)(-1) = -4 + 3 = -1\) \(C_{23} = (-1)^{2+3} M_{23} = (-1)^5 (-1) = 1\)
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