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Any vector M now can be written in the following form:
here b is an antisymmetric matrix.
Find the number of independent components of in b ?
here b is an antisymmetric matrix.Find the number of independent components of in b ?
- a)5
- b)10
- c)6
- d)9
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Any vector M now can be written in the following form:here b is an ant...
We are given with
Where it is mentioned that b is antisymmetric in nature.
Hence,
if we write b as a whole there will be a total of 4 x 4 = 16 components, as i and j is from 1 to 4.
Now as it is antisymmetric hence the relation is now:
From this we can conclude that we get:
There are 10 constraints.
That is we can represent it as:
The independent components are:
(b12,b13,b14,b23,b24,b34)= 6.
Where it is mentioned that b is antisymmetric in nature.
Hence,
if we write b as a whole there will be a total of 4 x 4 = 16 components, as i and j is from 1 to 4.
Now as it is antisymmetric hence the relation is now:
From this we can conclude that we get:There are 10 constraints.
That is we can represent it as:
The independent components are:
(b12,b13,b14,b23,b24,b34)= 6.
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Any vector M now can be written in the following form:here b is an antisymmetric matrix.Find the number of independent components of in b ?a)5b)10c)6d)9Correct answer is option 'C'. Can you explain this answer?
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Any vector M now can be written in the following form:here b is an antisymmetric matrix.Find the number of independent components of in b ?a)5b)10c)6d)9Correct answer is option 'C'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about Any vector M now can be written in the following form:here b is an antisymmetric matrix.Find the number of independent components of in b ?a)5b)10c)6d)9Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Any vector M now can be written in the following form:here b is an antisymmetric matrix.Find the number of independent components of in b ?a)5b)10c)6d)9Correct answer is option 'C'. Can you explain this answer?.
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