यदि A है ,तो k का पता लगाऐं ताकि  हो,जहाँ I एक तत्समक आव्यूह है।

  1. 7
  2. 8
  3. 9
  4. 6

Answer (Detailed Solution Below)

Option 1 : 7
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संकल्पना:

यदि A और B दो आव्यूह हैं इस प्रकार कि  A के कॉलम की संख्या B की पंक्तियों की  संख्या के बराबर है। यदि A = [aij] एक m × n आव्यूह है और B =[bij] एक n × p आव्यूह है, तो गुणन AB , m × p क्रम का परिणामी आव्यूह है और इसे इस प्रकार परिभाषित किया जाता है:

गणना:

दिया गया है: A 

यहाँ, हमें k के मान का पता लगाना है इस प्रकार कि 

चूँकि दोनों आव्यूह समान हैं,उनके संगत अवयव भी समान होगें।

संगत अवयवों की तुलना करने पर:

4k = 28 ⇒ k = 7

∴ k का मान 7 है।

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