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

On monday the high temp was 20c the low temp was -15c what

On Monday, the high temp was 20c. The low temp was -15c. What temp is halfway between the high and the low?

A function f having domain the closed interval a b is

A function f having domain the closed interval [a, b] is defined to be convex on the closed interval [a, b] if and only if f(ta+ (1-t)b)≤tf(a) + (1-t)f(b) for any t between zero and one inclusive (i.e., 0≤t≤1). Use this ...

Applications of percentage1 salary of a is 75 of brsquos

Applications of Percentage 1. Salary of A is 75% of B’s salary. Salary of A is increased by 40% but salary of B is increased by only 10%. Whose salary is more and by what percent? 2. The price of a commodity increases by ...

The monster truck operates several specialty vehicles that

The Monster Truck operates several specialty vehicles that provide hot food and beverages for firms that have workers employed in outlying regions. The company has annual sales of $350,500. Cost of goods sold average 48 ...

In each of the following questions use the normal

In each of the following questions, use the normal approximation to the binomial distribution. 1. Find the approximate probability that, in the next 50 tosses of a fair coin, the proportion of heads observed will be less ...

The graph shown gives a salesmans distance from his home as

The graph shown gives a salesman's distance from his home as a function of time on a certain day. Describe in words what the graph indicates about his travels on this day.

A manufacturer of two types of swings tarzan and high flyer

a manufacturer of two types of swings, tarzan and high flyer, makes a profit of $50 on tarzan swings and $60 on high flyer swings. in the manufacturing process each tarzan swing requires 4 hours of assembly and 4 hours o ...

Change is part of our lives change is viewed as positive

Change is part of our lives. Change is viewed as positive and negative. It is accompanied with excitement and confidence, opportunity, progress, growth, innovation, fear, anxiety, upheaval, threat, and unpredictability. ...

Topology problemlet f be a continuous function from the

Topology problem Let f be a continuous function from the metric space X to the metric space Y and let E be a subset of X. Show that the restriction of f to E is a continuous function from E to Y Hint: This follows immedi ...

1 what were some of apples biggest successes and failures

1) What were some of Apple's biggest successes and failures? Describe why. 2) How much of Apple's success can be linked directly back to its culture? Why?

  • 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

A cola-dispensing machine is set to dispense 9 ounces of

A cola-dispensing machine is set to dispense 9 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manuf

What is marketingbullwhat is marketing think back to your

What is Marketing? • "What is marketing"? Think back to your impressions before you started this class versus how you

Question -your client david smith runs a small it

QUESTION - Your client, David Smith runs a small IT consulting business specialising in computer software and techno

Inspection of a random sample of 22 aircraft showed that 15

Inspection of a random sample of 22 aircraft showed that 15 needed repairs to fix a wiring problem that might compromise

Effective hrmquestionhow can an effective hrm system help

Effective HRM Question How can an effective HRM system help facilitate the achievement of an organization's strate