+1-415-315-9853

info@mywordsolution.com

 Algebra Math Calculus Physics Chemistry Biology Earth Science Physiology History Humanities English Sociology Nursing Science

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.

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

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

Have any Question?

## Related Questions in Math

### 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 ...

### Strategic recommendationsnbspin developing this assignment

Strategic Recommendations   In developing this assignment, you have an opportunity to synthesize and apply the concepts, principles, and theories. You will be writing a paper in response to the following hypothetical sit ...

### Thread viewchoose one country that you might like to visit

Thread View Choose one country that you might like to visit. Select a duration for your trip between two and six weeks, and then choose a number of participants between 5 and 10 people. Suppose one goal of your group is ...

### Define the number of all the arrangements of 8 objects

Define the number of all the arrangements of 8 objects choosing 2 at a time without repetition. A. Order is important. (permutations). B. Order is not important (combinations). Please show problem worked out

### A small business borrows 80000 at 84 interest compounded

A small business borrows \$80,000 at 8.4% interest compounded monthly for 8 years. A. What is the monthly payment? B. What is the unpaid balance at the end of the first year? C. How much interest was paid in the first yea ...

### What are the criteria of a nursing theoryhow has the role

What are the criteria of a nursing theory? How has the role of Nurse Practitioner changed over time?

### A city currently has 128 street lights as part of a urban

A city currently has 128 street lights. As part of a urban renewal program, the city council has decided to install 2 additional street lights at the end of each week for the next 52 weeks. How many street lights will th ...

### In the exercise prove the given theoremtheorem a set e sube

In the exercise prove the given theorem: Theorem A set E ⊆ R 2  is the set of Nash equilibrium payoffs in a two-player game in strategic form if and only if E is the union of a finite number of rectangles of the form [a, ...

### A rock is thrown from the top of a bridge its height above

A rock is thrown from the top of a bridge. It's height above the water is given by s(t)=96+80t-16t^2, where t is measured in second and s is measured in feet. a) Determine the velocity and the acceleration of the rock wh ...

### The demand function for a certain brand of cd is given by p

The demand function for a certain brand of CD is given by p = -0.01x2- 0.3x + 49 where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the con ...

• 13,132 Experts

## 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.

### 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