AP EAMCET · Maths · Determinants
If each element, of a determinant of third order with value \(A\), is multiplied by 3 , then the value of newly formed determinant is
- A 3A
- B 9A
- C 27A
- D -27A
Answer & Solution
Correct Answer
(C) 27A
Step-by-step Solution
Detailed explanation
Since, we know that, if \(P\) is any matrix of order n. Then, \(|K P|=K^n|P|\), where \(K\) is constant. Given \(|P|=A\), where \(P\) is of order 3 . \[ \therefore \quad|3 P|=3^3|P|=27 A \]
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