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If  then which of the following is/are correct?

1. A and B commute.

2. AB is a null matrix.

Select the correct answer using the code given below:

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  1. 1 only
  2. 2 only
  3. Both 1 and 2
  4. Neither 1 nor 2

Answer (Detailed Solution Below)

Option 2 : 2 only
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Detailed Solution

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संकल्पना:

  • जर दोन आधारक A आणि B यांनी AB = BA या निकषाची पूर्तता केली, तर त्यांना क्रमनिरपेक्ष म्हणतात.
  • शून्य सारणी ही मुळात अशी एक सारणी असते, जिचे सर्व घटक शून्य असतात.

गणना:

दिलेले आहे:

आता,

म्हणून, AB ही एक शून्य सारणी आहे.

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