ds wrk book

Question

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

1. $B[i,j]=C[i,j+1]$
2. $B[i,j]=C[j+1,i]$
3. $B[i,j]=C[j, i+1]$ 

I m getting $c$ .is it correct???

Answer 1

Option (C) is correct

let we take matrix A and B of 3*3 which is lower triangular matrix means all the entries above diagonals are 0

take transpose of B means change rows to columns or columns to rows.

take matrix C 3*4 and fit matrix A and transpose of  matrix B into the rectangular matrix C, when we map elements of matrix B and matrix C using B[i,j]=C[j,i+1] we get the matrix B .