यदि A, m × n आव्यूह इस प्रकार है कि AB और BA दोनों परिभाषित हैं, तो B कोटि ________ का एक आव्यूह है।

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ISRO LPSC Technical Assistant Mechanical 23 Feb 2020 Official Paper
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  1. n * n
  2. m * m
  3. m * n
  4. n * m

Answer (Detailed Solution Below)

Option 4 : n * m
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अवधारणा:

दो आव्यूह Am × n और Bp × q

यदि AB और BA परिभाषित हैं तो p = n और q = m

गणना:

दिया गया :

AB और BA परिभाषित हैं।

इसलिए आव्यूह B की कोटि Bn × m है

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