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Saloni BhardwajI want to learn many things in my life. |
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Saloni Bhardwaj
EduRev Class 9
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Discussed Questions
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Kartikey Mehrotra upvoted • Feb 12, 2022 |
The linear operator L(x) is defined by the cross product L(x) = b x X, where b = [0 1 0]T and X = [x1 x2 x3]T are three dimensional vectors. The 3 x 3 matrix M o f this operation satisfies L (x ) = 
Then, the eigen values of M are- a)0,+1, —1
- b)1, -1, 1
- c)i, - i , 1
- d)i, - i , 0
Correct answer is option 'D'. Can you explain this answer?
The linear operator L(x) is defined by the cross product L(x) = b x X, where b = [0 1 0]T and X = [x1 x2 x3]T are three dimensional vectors. The 3 x 3 matrix M o f this operation satisfies L (x ) = Then, the eigen values of M are
Then, the eigen values of M area)
0,+1, —1
b)
1, -1, 1
c)
i, - i , 1
d)
i, - i , 0
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Suvojit Nayek answered |
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Kartikey Mehrotra upvoted • Feb 12, 2022 |
A is a 3 x 4 real matrix and A x = b is an inconsistent system of equations. The highest possible rank of A is- a)1
- b)2
- c)3
- d)4
Correct answer is option 'B'. Can you explain this answer?
A is a 3 x 4 real matrix and A x = b is an inconsistent system of equations. The highest possible rank of A is
a)
1
b)
2
c)
3
d)
4
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Ayush Lohan answered |
Since a is 3*4 matrix hence x has 4 variables therefore highest rank is 3
- a)is not bounded
- b)may or may not be bounded
- c)convergent
- d)may or may not be convergent
Correct answer is option 'A'. Can you explain this answer?
a)
is not bounded
b)
may or may not be bounded
c)
convergent
d)
may or may not be convergent
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Kartikey Mehrotra answered • Dec 03, 2021 |
Simply by cauchy second theorem on limits if lim Sn = l, then lim Sn/n= l also.
Therefore here Sn= l and is convergent to L. option c is correct
Therefore here Sn= l and is convergent to L. option c is correct
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Kartikey Mehrotra upvoted • Dec 02, 2021 |
For what value of x the infinite series 
diverges?- a)x < e
- b)x > e
- c)
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
For what value of x the infinite series diverges?
diverges?a)
x < e
b)
x > e
c)
d)
None of these
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Supriya Tiwari answered |
Option b is correct
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Kartikey Mehrotra upvoted • Dec 02, 2021 |
For what value of x the infinite series diverges?- a)x < e
- b)x > e
- c)
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
For what value of x the infinite series diverges?
diverges?a)
x < e
b)
x > e
c)
d)
None of these
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Khushbu Kumari answered |
Correct is b
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Kartikey Mehrotra upvoted • Dec 02, 2021 |
The series 
- a)conditional convergent
- b)absolutely convergent
- c)divergent
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
The series
a)
conditional convergent
b)
absolutely convergent
c)
divergent
d)
None of the above
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Prasanta Sardar answered |
Here ,the given series is of positive terms and therefore the series will be Divergent.
so, option (c) is correct
so, option (c) is correct
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