GATE | GATE CS 1997 | Question 27
Let A= (a
ij) be an n-rowed square matrix and I
12 be the matrix obtained by interchanging the first and second rows of the n-rowed Identify matrix. Then AI
12 is such that its first
(A) row is the same as its second row
(B) row is the same as the second row of A
(C) column is the same as the second column of A
(D) row is all zero
Answer: (C) Explanation:
When the above matrices are multiplied, the result is
, which is the matrix A with it’s first and second row interchanged.
This is because the first row of
has a 1 in the second column and it’s second row has a 1 in the first column. So when the matrices are multiplied, the first and second rows get exchanged.
This explanation is provided by
Chirag Manwani.
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Last Updated :
09 Mar, 2018
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