Question

How will you store the following sparse matrix in vector and linked list representation so that only nonzero elements are stored?

egin{bmatrix} 2 & 2 & 0 & 0 & -1\ 1 & 0 & 2 & 1 & 0\ 0 & 4 & 5 & 0 & 1\ 0 & 0 & 1 & 0 & 0\ 9 & 0 & 0 & 0 & 0 end{bmatrix}

19 Mar 2023
Answer :
Word Count : 717

To store the given sparse matrix in vector and linked list representation, we need to identify the nonzero elements along with their row and column indices. We can then store this information in a compact manner.

For the given matrix, the nonzero elements and their corresponding row and column indices are:

Nonzero Element Row Index Column Index
2 1 1
1 2 1
4 3 2
5 3 3
1 3 5
-1 1 5
2 2 3
1 2 4
9 5 1

Vector representation:

In vector representation, we can create three separate arrays:

value[]: an array to store the values of the nonzero elements

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