4. The quicksort algorithm scales like O(n log n). If sorting 10 numbers takes about 2 sec, which of the following is a good estimate for how long it takes to sort 10° numbers? O 2 sec O 23 sec O 65 sec O 230 sec

4. The quicksort algorithm scales like O(n log n). If sorting 10 numbers takes about 2 sec, which of the following is a good estimate for how long it takes to sort 10° numbers? O 2 sec O 23 sec O 65 sec O 230 sec

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter2: Basic Linear Algebra

Section2.5: The Inverse Of A Matrix

Problem 11P

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Concept explainers

Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.

Question

Computer Science

please i need answers for all :(

3. A genetic model of recombination is solved using a computational algorithm that scales like O(8), where L is the
number of loci modeled. If it takes 10 sec to compute recombination when L 7, which of the following is a good
estimate for how long it takes to compute recombination when L = 8?
O 14 sec
O 21 sec
O 80 sec
O 240 sec
4. The quicksort algorithm scales like O(n log n). If sorting 10 numbers takes about 2 sec, which of the following is a
good estimate for how long it takes to sort 10° numbers?
O 2 sec
O 23 sec
O 65 sec
O 230 sec
5. The summation given by
E(2- 3k + 3k?)
k=1
is equal to
O 2n
O n(n? + 1)
O n°(n + 1)
O n(3n? – 1)

1. How many partial pivots are required when performing Gaussian elimination on the following matrix:
(3 5 2
A =2 3 4?
6 6 6
O 2
O 3
2. Let
3 5 2
2 3 4
6 6 6
A =
The (PL)U decompostion of A is given by
5.
8/3
-30
3.
A = | 2/3
-1/3
12 1
(1/2
A = | 1/3 1/2 1
6 6
0 2
00 5/2,
1
-1
1
0.
(3/2 -1/6 1'
A =
(2
4.
1
0.
-3 -6
1
0.
-5
(1/2 2 1
A = | 1/3 10
00
6.
1
1
-5

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