The rank of a 3 x 3 matrix C (= AB), found by multiplying a non-zero column matrix A of size 3 x 1 and a non-zero row matrix B of size 1 x 3, is
| A. | 0 |
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| B. | 1 |
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| C. | 2 |
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| D. | 3 |
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Answer : B Explanation :
jaina nithin said: (10:42pm on Wednesday 12th February 2014)
there will be no zero rows in the resultant matrix then the rank should be 3
saurabh said: (9:37pm on Tuesday 28th July 2015)
rank (AB) <= min { rank (A), rank (B)} so it should be 1
momit said: (12:24am on Tuesday 18th August 2015)
rankA=0 rankB=1rankAB_ Sherry said: (6:46pm on Wednesday 14th October 2015)
it should be 1..as rank of product of matrices do not excedd the minimum rank of two matrices
naveen said: (8:39am on Saturday 20th August 2016)
it should be. determinant of 3*3 and 2*2 matrix is zero. so rank should be 1. only null matrix has 0 rank.
Amol said: (4:11pm on Saturday 17th September 2016)
Rank shld be 3 , how come 0?
asit kr saha said: (11:26pm on Monday 24th October 2016)
so whay the result of this matrix is equal to zero ??? i think its rank is 3
GAURAV SHARMA said: (5:36pm on Friday 28th October 2016)
|C|=0 so rank of C is <3 but there are no non-zero minors of order 2x2 so but there exists a 1x1 minor if any element in A and B is not zero then rank of C is 1
suraj said: (11:28pm on Monday 23rd January 2017)
rank should be 1
Rajnikant said: (12:09pm on Saturday 25th March 2017)
there is non zero row and column then how it rank is 0.. and if there is all number take same number then get rank 1.. why the answer is 0. i dont understand.
Nikhil Saxena said: (1:21am on Thursday 27th April 2017)
i think rank should be 3....because there is no zero in 3 : 3 matrix.
Sufi said: (8:06am on Sunday 28th May 2017)
Only zero matrix has rank zero
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Option: A Explanation : Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. |
