यदि

जहाँ x,y,z पूर्णांक है, एक लांबिक आव्यूह है, तो A2 किसके बराबर है?

This question was previously asked in
NDA-I (Mathematics) Official Paper (Held On: 13 Apr, 2025)
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  1. शून्य आव्यूह
  2. तत्समक आव्यूह
  3. A
  4. -A

Answer (Detailed Solution Below)

Option 2 : तत्समक आव्यूह
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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गणना:

दिया गया है,

आव्यूह A को इस प्रकार परिभाषित किया गया है:

यह उल्लेख किया गया है कि A एक लांबिक आव्यूह है। इसलिए,

अब, हम A2 की गणना करते हैं:

चूँकि A लांबिक है,  है, और इसलिए:

∴ A2 = तत्समक आव्यूह (I)

इसलिए, सही उत्तर विकल्प 2 है।

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