1,283 views
3 votes
3 votes
Assume that there are two lower triangular matrices A and B of size n*n. If matrix A and transpose of B are fit into a rectangular matrix C of size n*(n+1), then
a) B[i,j]=C[i,j+1]
b)B[i,j]=C[j+1,i]
c)B[i,j]=C[j, i+1]

1 Answer

2 votes
2 votes
By the very definition of transpose(say T) of a matrix M, we have M[i, j] = T[j, i]. But here since we are merging matrix A with transpose of B, the diagonal elements of A and B will have to be preserved in C, therefore,

A[i, j] = C[j, i]

B[i, j] = C[j, i+1]

Here B[i, j] cannot be equal to C[j, i] because presence of elements of A at the diagonal of C shifts the elements of B by 1 column.

 

I would like to know a formal explanation though.

Related questions

0 votes
0 votes
1 answer
2
2 votes
2 votes
3 answers
3
Nishikant kumar asked Dec 26, 2015
11,857 views
which of the following is not O(1) for an array of sorted integers.Assume all are distinct..<a>find the ith smallest element<b>find the ith largest element<c>delete an el...
0 votes
0 votes
1 answer
4
Nishikant kumar asked Dec 26, 2015
239 views
which of the permutation o/p can't be obtained using stack for the i/p sequence 1,2,3,4,5 in that order<a>1,2,3,4,5 <b>1,2,5,4,3<c>1,2,5,3,4 <d>1,2,4,5,3