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

Atmospheric pressure decreases by about 116 for every 1000

Atmospheric pressure decreases by about 11.6% for every 1000 meters you climb. The pressure at sea level is 1013 millibars (a unit of pressure). Construct an exponential model to represent the atmospheric pressure at a g ...

Exploring different businessit alignment frameworks

Exploring different business/IT alignment frameworks, methodologies and tools: Architecture: Enterprise Architecture [TOGAF] Governance: Business Performance Management [Balanced Scorecard] IT Governance [COBIT, ITIL] Co ...

At the end of t years the future value of an investment of

At the end of t years, the future value of an investment of $9000 in an account that pays 9% APR compounded monthly is 9000(1+.09/12) 12t  dollars. Assuming no withdrawals or additional deposits, how long will it take fo ...

Find the values of the indicated functions given cot theta

Find the values of the indicated functions. Given cot θ =0.7350, find csc θ and sec θ. (Do not round until the final answer. Then round to three decimal places as needed.)

As an international marketer you are in the process of

As an international marketer, you are in the process of negotiating an agreement with a new customer in China. Would you stipulate mediation (conciliation) or arbitration as the required means for settling potential disp ...

Essay read in the real world - retailmanufacturing - coca

Essay Read "In the Real World - Retail/Manufacturing - Coca Cola" on page 233 in the textbook, and answer the Quick Preview questions on page 234. After completing the exercise, answer the following questions in essay fo ...

The specific gravity of a substance is the ratio of its

The specific gravity of a substance is the ratio of its density to the density of water. If the density of a steel alloy is 441 lb/ft3 and that of water is 62.4 lb/ft3, what is the specific gravity of the steel alloy? Ro ...

Problem 1determine the value of a and b for which the

Problem 1) determine the value of a and b for which the system has I. no solution II. unique solution III. infinite number of solution Problem 2) A body of mass m is in rectilinear motion along horizontal axis .the resul ...

Find an equation for the circle that has center -3 5 and

Find an equation for the circle that has center (-3, 5) and passes through the point (4, -2).

The coordinate plane below represents a city points a

The coordinate plane below represents a city. Points A through F are schools in the city. graph of coordinate plane. Point A is at negative 3, negative 4. Point B is at negative 4, 3. Point C is at 2, 2. Point D is at 1, ...

  • 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

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

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen