b) The following program segment computes C = A * B, where A, B, C are matrices. for (long int i = 1; i<= r; i++) for (long int j = 1;j<= m; j++) long double S= 0; for (long int k = 1; k <= n; k++) S =S+ Ali, k) * B[k, ]; ClI, ) = S; How many times docs the code iterate in computing i) S? ii) The j* column of C, i.e. C[i.j] for a fixed i and j = 1, 2, ,3, ..., m? iii) The complete matrix C?

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
Problem 12PE
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b) The following program segment computes C = A * B, where A, B, C are matrices.
for (long int i = 1; i <= r; i++)
for (long int j = 1; j<= m; j++)
{
long double S = 0;
for (long int k = 1; k <= n; k++)
S = S+ A[i, k] * B[k, ];
Cli, ) = S;
How many times does the code iterate in computing
i) S?
ii) The j* column of C, i.e. C[i.j] for a fixed i and j = 1, 2, ,3, ...,
iii) The complete matrix C?
m?
Transcribed Image Text:b) The following program segment computes C = A * B, where A, B, C are matrices. for (long int i = 1; i <= r; i++) for (long int j = 1; j<= m; j++) { long double S = 0; for (long int k = 1; k <= n; k++) S = S+ A[i, k] * B[k, ]; Cli, ) = S; How many times does the code iterate in computing i) S? ii) The j* column of C, i.e. C[i.j] for a fixed i and j = 1, 2, ,3, ..., iii) The complete matrix C? m?
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