दिया गया है कि P कोटि 3 और |P| = -4 का एक वर्ग आव्यूह है। तब |adj P| किसके बराबर है?

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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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संकल्पना:

यदि A कोटि n के सारणिक |A| के साथ एक आव्यूह है,

तब |adj A| = |A|n-1

गणना:

दिया गया है कि P कोटि 3 और |P| = -4 का एक वर्ग आव्यूह है।

⇒ |adj P| = |P|3-1 = |P|2

⇒ |adj P| = (-4)2 = 16​

∴ सही विकल्प (1) है।

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