Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
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Expert Solution & Answer
Chapter 2.1, Problem 6P
Explanation of Solution
Proving that computing the matrix product AB requires n3multiplications and n3-n2 additions:
When we multiply two n×n matrices A and B, the resultant matrix will also be of the order of n×n.
Therefore, ij element of AB= Scalar product of row i of A and column j of B.
This will constitute n×n=n2 operations. Totally, n such operations have to be done.
Therefore, total number of multiplication operations in multiplying two n×n matrices involve are given below:
n2×n=n3
After this we must do n2 addition operations in first row, then (n−1)2 addition operations in second row and so on.
Therefore, the total number of addition operations is given below:
n2+(n−1)2+
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Students have asked these similar questions
8.4 Self-Bias Configuration
20. Determine Zi. Zo. and A,, for the network of Fig. 8.73 if gf, = 3000 μS and gos = 50 μs.
21. Determine Z, Zo, and A, for the network of Fig. 8.73 if the 20-uF capacitor is removed and the
parameters of the network are the same as in Problem 20. Compare results with those of
Problem 20.
+12 V
3.3 ΚΩ
HE
C₂
Vo
Z
Zo
C₁
10 ΜΩ
Z₁
1.1 ΚΩ
Cs 20 µF
FIG. 8.73
Problems 20, 21, 22, and 59.
21. Determine Zi, Zo, and A, for the network of Fig. 8.73 if the 20-μF capacitor is removed and the
parameters of the network are the same as in Problem 20. Compare results with those of
Problem 20.
+12 V
3.3 ΚΩ
+6
C₂
C₁
Z₁
10 ΜΩ
1.1 ΚΩ
Cs
20 μF
FIG. 8.73
Zo
Ninth Edition
Determine Zi, Zo and Av
20 V
Zi
+
1 ΜΩ
2 ΚΩ
HH
Z
IDSS= 6MA
Vp=-6V
Yos = 40μS
20 and 47
Chapter 2 Solutions
Operations Research : Applications and Algorithms
Ch. 2.1 - Prob. 1PCh. 2.1 - Prob. 2PCh. 2.1 - Prob. 3PCh. 2.1 - Prob. 4PCh. 2.1 - Prob. 5PCh. 2.1 - Prob. 6PCh. 2.1 - Prob. 7PCh. 2.2 - Prob. 1PCh. 2.3 - Prob. 1PCh. 2.3 - Prob. 2P
Ch. 2.3 - Prob. 3PCh. 2.3 - Prob. 4PCh. 2.3 - Prob. 5PCh. 2.3 - Prob. 6PCh. 2.3 - Prob. 7PCh. 2.3 - Prob. 8PCh. 2.3 - Prob. 9PCh. 2.4 - Prob. 1PCh. 2.4 - Prob. 2PCh. 2.4 - Prob. 3PCh. 2.4 - Prob. 4PCh. 2.4 - Prob. 5PCh. 2.4 - Prob. 6PCh. 2.4 - Prob. 7PCh. 2.4 - Prob. 8PCh. 2.4 - Prob. 9PCh. 2.5 - Prob. 1PCh. 2.5 - Prob. 2PCh. 2.5 - Prob. 3PCh. 2.5 - Prob. 4PCh. 2.5 - Prob. 5PCh. 2.5 - Prob. 6PCh. 2.5 - Prob. 7PCh. 2.5 - Prob. 8PCh. 2.5 - Prob. 9PCh. 2.5 - Prob. 10PCh. 2.5 - Prob. 11PCh. 2.6 - Prob. 1PCh. 2.6 - Prob. 2PCh. 2.6 - Prob. 3PCh. 2.6 - Prob. 4PCh. 2 - Prob. 1RPCh. 2 - Prob. 2RPCh. 2 - Prob. 3RPCh. 2 - Prob. 4RPCh. 2 - Prob. 5RPCh. 2 - Prob. 6RPCh. 2 - Prob. 7RPCh. 2 - Prob. 8RPCh. 2 - Prob. 9RPCh. 2 - Prob. 10RPCh. 2 - Prob. 11RPCh. 2 - Prob. 12RPCh. 2 - Prob. 13RPCh. 2 - Prob. 14RPCh. 2 - Prob. 15RPCh. 2 - Prob. 16RPCh. 2 - Prob. 17RPCh. 2 - Prob. 18RPCh. 2 - Prob. 19RPCh. 2 - Prob. 20RPCh. 2 - Prob. 21RPCh. 2 - Prob. 22RP
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