9. Determine the complexity of the following implementations of the algorithms for adding, multiplying, and transposing n X n matrices: for (i = 0; i < n; i++) for (j = 0;j < n; j++) a[i] [j] %3! b[i] [j] + c[i] [j]; %3D for (i = 0; i < n; i++) for (j = 0; j < n; j++) for (k = a[i] [j] = 0; k < n; k++) a[i] [j] += b[i] [k] * c[k] [jl; %3! %3D for (i = 0; i

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Determind the complexity of the following implementations of the algorithms for adding, multiplying, and transposing n x n matrices

9. Determine the complexity of the following implementations of the algorithms for
adding, multiplying, and transposing n X n matrices:
for (i
0; i < n; i++)
%3D
for (j
= 0; j < n; j++)
a[i] [j]
b[i] [j] + c[i] [j];
%3!
for (i = 0; i < n; i++)
!3!
for (j
0; j < n; j++)
%3D
for (k
a[i] [j] = 0; k < n; k++)
%3D
a[i] [j] += b[i] [k] * c [k] [j];
for (i = 0; i < n
for (j
1; i++)
i+l; j < n; j++) {
%3D
a[i] [j];
tmp
a[i] [j] = a[j] [i] ;
a[j] [i]
}
!3!
tmp;
!3!
Transcribed Image Text:9. Determine the complexity of the following implementations of the algorithms for adding, multiplying, and transposing n X n matrices: for (i 0; i < n; i++) %3D for (j = 0; j < n; j++) a[i] [j] b[i] [j] + c[i] [j]; %3! for (i = 0; i < n; i++) !3! for (j 0; j < n; j++) %3D for (k a[i] [j] = 0; k < n; k++) %3D a[i] [j] += b[i] [k] * c [k] [j]; for (i = 0; i < n for (j 1; i++) i+l; j < n; j++) { %3D a[i] [j]; tmp a[i] [j] = a[j] [i] ; a[j] [i] } !3! tmp; !3!
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