Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Math Expert


Home >> Math

PART A 

For problems 1 and 2:     
Let A be a 4x4 matrix composed of all 0s.     
Let B be a 4x4 matrix composed of all 1s.

1. A NAND B = all 0s.

True or False

2. A XOR B = all 1s.        

True or False    

3. The first nine digits of a book's ISBN-10 identifier  is 0-441-27206.  The tenth digit (the check digit) is 5.

True or False

4. The binary search algorithm has a smaller "Big(O)" notation than the linear search algorithm and is, therefore, the more  efficient algorithm.     

True or False

5. Given:

Matrix A is of the form 5 x 4     
Matrix B is of the form 4 x 2     
Matrix C is of the form 2 x 5
B x C x A  has the form 5 x 5.

True or False

6. A Tautology is always true except when null sets are  involved.

True or False

7.  Given: A = {0,4,6,9,10} and B = {0,6,7,9,12}.

The Cartesian Product of A and B contains 25 valid elements since {0,0}, the NULL SET, is included in the total.

True or False

8. The cardinality of the power set {NULL, a, {NULL}, {{NULL}}}  is 3.  Note: {NULL} indicates the null (empty) set.

True or False  

9.  log(BASE2)10 = 3.3219 and log(BASE2)100 = 6.6439.

True or False

10. The matrix MEET is functionally the same as a matrix AND.

True or False

11.  Using Relations f and g, it is possible that that fog = gof in most cases.

True or False  

12.  Using Set Identities, we can deduce that:

NOT A  AND  B = A  OR  NOT B.

True or False    

13.  Log(Base10)100 = 2; log 100(Base2) = 9.96

True or False

14.  To be invertible, the involved functions must map one-to-one and onto.

True or False

PART B 

SHOW ALL WORK (within reason) in intermediate steps.  Solutions without intermediate work will be graded as zero.
Clearly identify each answer.     

1. Define A*B where:     

          A =  | 3 -3  6 |          B = |  6   1 |     
                  | 0  4  2 |                |  0  -5 |
                                                |  0   3 |    
     
2. Given A and B

           A =  |  1  0  1  |         B =        |  1  1  0  |     
                  |  1  1  0  |                      |  0  1  1  |     
                  |  0  1  0  |                      | 1  1  0   |     

Determine:      

A).   A  MEET  B     

B).   A  JOIN  B     

3. Given A = -2*x^3 - 5x where x = (-0.3, 0, 0.3, 1.4).  Determine:

a. CEILING A

b. FLOOR A

4. Define the "Big O" function of:

F(x) = 4x*log(x^2 + 7)  +  5*[(4 + x^5) * log(x^7)+ 12]

5. Define the value of:

a)  SIGMA (2*i) where i has the range i = 0 to 3.

b)  PI (k + 4) where k has the range k = 0 to 3.

6. Define the values in the double sigma expression:

SIGMA1 SIGMA2 (3*i*j) where SIGMA1 has the range of j= 0 to 3, and where SIGMA2 has the range of i= 1 to 3.

7. Let A = (a,b,c,e,f,g,k) and B = (a,b,c,e,h,i,j).  Determine:

a)  A INT B

b)  B – A

c)  A – B

8. Let g be a function from the set G = {1,2,3,...34,35,36).  Let f be a function from the set F = {1,2,3,...34,35,36}.  Set G and F contain 36 identical elements (a – z and 0 - 9).  A partial representation of the G and F relationships are:

g(1) = 26, g(2) = 17, g(3) = 22, and

f(6) = 1, f(9) = 3, f(11) = 2.

Assume a 1:1 and onto relationship.  Determine:

a.  fog

b.  gof

9. Given f(w) = 2, f(x) = 5, f(y) = 2, f(z) = 3.  What is the inverse function of 5?  That is, f-1(5) = ?

10.  Assume that the Basis Step for the sum of the first n ODD Integers is n^2.  Develop a table of at least six exs to show this assumption seems to be true.  Hint: Follow the      process used in previous ECRs.

11.  Assume n is a very large value.  List the following elements in ascending order:
 {(n log n^2), 2^n, log 20, 120, log 10, (n^2 log n^2) } 

12.  Define the value of:
PI SIGMA 3*k*j where SIGMA has the range k =0 to 4, and where PI has the range j = 0 to 3.

A. What is the best order to form the product  ABCD if A, B, C  and D are matrices with dimensions  15 x 25, 25 x 30, 30 x 20, and 20 x 15, respectively.  Show your work!  Limit your answer to the four alternatives listed below:   

a)  [( A * B ) * C ] * D     

b)  (A * B ) * ( C * D )      

c)   A * [ B * (C * D ) ]     

d)  [( C * D) * A ] * B     

B. Solve for Computer Time Used when:

Problem size:            n = 10^2
Bit operations used:      n^3 log n
Processor speed:         10^10 operations/sec

Math, Academics

  • Category:- Math
  • Reference No.:- M91433

Have any Question? 


Related Questions in Math

Problem 1a generous university benefactor has agreed to

Problem 1: A generous university benefactor has agreed to donate a large amount of money for student scholarships. The money can be provided in one lump sum of $12 million in Year 0 (the current year), or in parts, in wh ...

An ethical analysis about philip morriss dont be maybe be

An ethical analysis about Philip Morris's "Don't be maybe, Be Marlboro" marketing campaign . You should analyse in terms of Stakeholder Analysis, Caroll's Pyramid, Utilitarianism, Deontology and Virtue Ethics. Most impor ...

Suppose a survey of 861 college students showed that 63

Suppose a survey of 861 college students showed that 63% said that they worked at least part-time during each semester. Find the 95% confidence interval for the true population proportion. 56.2% to 69.8% 54.4% to 71.6% 5 ...

How according to the interview with clarence page did the

How, according to the interview with Clarence Page, did the concept of objectivity come about? How does Richard Campbell explain objectivity of lack of it? Do you expect journalists to be objective? Are you objective? Wh ...

In 450 words with referenceshow would you describe apples

In 450 words with references: How would you describe Apple's (or United Way) brand strategy? Discuss other brand strategies marketers use to develop brand loyalty. Give a detailed description of what in involved with the ...

Chose a topic that we havent discussed yet this semester

Chose a topic that we haven't discussed yet this semester that you found to be enlightening, or informative, or just plain outta here! Research an article pertaining to the topic to strengthen your knowledge and "experti ...

Calculate the return on investment for 1900 shares of a

Calculate the return on investment for 1,900 shares of a mutual fund purchased with an offer price of $15.26 if the shares were sold with a NAV of $18.35. The shares paid a dividend of $0.88per share during ownership. Pl ...

The graph shows the functions fx px and gxgraph of function

The graph shows the functions f(x), p(x), and g(x): Graph of function g of x is y is equal to 1.8 to the power of x. The straight line f of x joins ordered pairs 6, 2 and 2, minus 2 and is extended on both sides. The str ...

1nbspyou deposit 6000 in an account earning 6 interest

1. You deposit $6000 in an account earning 6% interest compounded monthly. How much will you have in the account in 10 years? 2. You deposit $3000 in an account earning 8% interest compounded  continuously . How much wil ...

Consider an aumann model of incomplete information in which

Consider an Aumann model of incomplete information in which N = {I, II}, Y = {1, 2, 3, 4, 5, 6, 7, 8, 9}, FI = {{1, 2, 3},{4, 5, 6},{7, 8, 9}}, and FII = {{1, 5},{2, 6},{3, 4},{7},{8, 9}}. Answer the following questions: ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro