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Given that P is a square matrix of order 3 and |P| = -4. Then |adj P| is equal to:

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AAI ATC Junior Executive 27 July 2022 Shift 3 Official Paper
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  1. 16
  2. -4
  3. -16
  4. 4

Answer (Detailed Solution Below)

Option 1 : 16
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Detailed Solution

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Concept:

If A is a matrix with determinant |A| of order n,

then |adj A| = |A|n-1

Calculation:

Given that P is a square matrix of order 3 and |P| = -4. 

⇒ |adj P| = |P|3-1 = |P|2

⇒ |adj P| = (-4)2 = 16​

∴ The correct option is (1).

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Last updated on May 26, 2025

-> AAI ATC exam date 2025 will be notified soon. 

-> AAI JE ATC recruitment 2025 application form has been released at the official website. The last date to apply for AAI ATC recruitment 2025 is May 24, 2025. 

-> AAI JE ATC 2025 notification is released on 4th April 2025, along with the details of application dates, eligibility, and selection process.

-> Total number of 309 vacancies are announced for the AAI JE ATC 2025 recruitment.

-> This exam is going to be conducted for the post of Junior Executive (Air Traffic Control) in Airports Authority of India (AAI).

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-> The AAI JE ATC Salary 2025 will be in the pay scale of Rs 40,000-3%-1,40,000 (E-1).

-> Candidates can check the AAI JE ATC Previous Year Papers to check the difficulty level of the exam.

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