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सारणी AB जर शून्य सारणी असेल, तर खालीलपैकी कोणते योग्य आहे?

  1. A शून्य सारणीच्या बरोबरीचे असणे आवश्यक आहे किंवा B शून्य सारणीच्या बरोबरीचे असणे आवश्यक आहे
  2. A शून्य सारणीच्या बरोबरीचे आणि B शून्य सारणीच्या बरोबरीचे असणे आवश्यक आहे
  3. A हे शून्य सारणी किंवा B हे शून्य सारणी असणे आवश्यक नाही
  4. वरीलपैकी काेणतेही नाही

Answer (Detailed Solution Below)

Option 3 : A हे शून्य सारणी किंवा B हे शून्य सारणी असणे आवश्यक नाही
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Detailed Solution

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संकल्पना:

  आणि  B पण AB = 0.

गणना:

दिलेले आहे, सारणी AB एक शून्य सारणी आहे

⇒ AB = 0

विचारात घ्या,  आणि 

⇒ आणि 

 आता

⇒AB = 0

येथे,  आणि  पण AB = 0.

म्हणून, जर सारणी AB शून्य सारणी असेल, तर A हे शून्य सारणी किंवा B हे शून्य सारणी असणे हे आवश्यक नाही.

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