Assignment Hippo Loader





MATH 18 matlab assignment 2

Math 18 MATLAB Assignment 2

Exercise 2.1 Cx= b x= [ 1.0714 1.2143

1.5714 ]

  1. My solution is correct.

INPUT: >> x = C\d

OUTPUT: x =

1.0714 1.2143

1.5714

  1. INPUT: >>C*x-d

OUTPUT: ans =

12.2143 9.2143 8.2143

11.5000 8.5000 7.5000

3.2857 0.2857 -0.7143

Exercise 2.2

INPUT: >> x= [-10 4; 15 -6]

OUTPUT: x =

-10 4

15 -6

INPUT: >> y=[0 0]

OUTPUT: y =

0 0

INPUT: >> h=x/y

OUTPUT: Warning: Rank deficient, rank = 0, tol = 0.000000e+00. 

h =

0

0

My solution is the same. The error exists because the augmented matrix, h, is inconsistent because the last column contains a pivot.

Exercise 2.3

INPUT: >> rref ([C d])

OUTPUT: ans =

1 -3 2 0

0 0 0 0

0 0 0 0

There are 2 free variables.

Exercise 2.4

The columns all add up to one because each additive represents a percentage. 1 is 100 % and each row within the additive of 1 represents a factor of that 1. Exercise 2.5

The left-hand side of the equation coefficients are scalars of the variables f, t, c, m, and b. These coefficients represent A in the equation Ax=b. The variables f, t, c, m, and b are within the vector x in Ax=b, their letters represent the Farmer, Tailor, Carpenter, Miner, and Slack Bob respectively. Vector x also represents what these variable produce, Food, Clothes, Housing, Energy, and Alcohol respectively. Matrix A represents the percentage of consumption these variables of vector x represent. The right-hand side of the equation, b, represent the total price of each good of Food, Clothes, Housing, Energy, and Alcohol respectively.

Exercise 2.6

  1. INPUT: >> x=C-I

INPUT: >> d=[0

0

0

0

0]

INPUT: y= [x d]

OUTPUT: y =

Columns 1 through 4

-0.7500 0.1500 0.2500

0.1800

0.1500 -0.7200 0.1800

0.1700

0.2200 0.1900 -0.7800

0.2200

0.2000 0.1500 0.2000

-0.7200

0.1800 0.2300 0.1500 0.1500

Columns 5 through 6

0.2000 0 0.0500 0 0.1000 0

0.1500 0

-0.5000 0 INPUT : >> rref([y])

OUTPUT:

ans = Columns 1 through 4

1.0000 0 0 0 0 1.0000 0 0

0 0 1.0000 0

0 0 0 1.0000

0 0 0 0

Columns 5 through 6

-0.8025 0

-0.5919 0

-0.7108 0

-0.7520 0

0 0

General Solution: p1=.8025b, p2=.5919b, p3= .7108b, p4=.7520, p5=free

The highest priced commodity is food and the lowest priced

  1. commodity is clothes. Highest to Lowest Income: Farmer, Miner, Carpenter, Tailor, Slacker

Bob, in which Slacker Bob is a free variable. Slacker Bob has the highest income because the other occupations are just fractions of his income.

If Slacker Bob sells $40,000 a year, the corresponding Gross incomes are true, Farmer=$32100, Tailor=$23676, Carpenter=$28432, and Miner=$30080.

Exercise 2.7

a. INPUT: >> L=[0 1/4 1/4 1/4 1/4; 1/2

0 1/2 0 0; 0 1/2 0 0 1/2; 1/3 0 1/3 0

1/3; 0 0 1 0 0]

OUTPUT:

L =

Columns 1 through 4

0 0.2500 0.2500 0.2500

0.5000 0 0.5000 0

0 0.5000 0 0

0.3333 0 0.3333 0

0 0 1.0000 0

Column 5

0.2500

0

0.5000

0.3333

0

  1. INPUT: >> j=L-I

OUTPUT: j =

Columns 1 through 3

-1.0000 0.2500 0.2500

0.5000 -1.0000 0.5000

0 0.5000 -1.0000

0.3333 0 0.3333

0 0 1.0000

Columns 4 through 5

0.2500 0.2500

0 0

0 0.5000

-1.0000 0.3333

0 -1.0000

INPUT: f =

0

0

0

0

0

INPUT: >> w= [j f]

OUTPUT: w = Columns 1 through 3

-1.0000 0.2500 0.2500

0.5000 -1.0000 0.5000

  • 5000 -1.0000

0.3333 0 0.3333

  • 0 0000

Columns 4 through 6

0.2500 0.2500 0

0 0 0

0 0.5000 0

-1.0000 0.3333 0

  • -1.0000 0

INPUT: >> rref (w)

OUTPUT:

ans =

  • 0 0 0 -1 0

0 1 0 0 -1 0

0 0 1 0 -1 0

0 0 0 1 -1 0

0 0 0 0 0 0

  1. They all have equal PageRank because they all equal E. E is a free variable.
Want latest solution of this assignment
AssignmentHippo Features
  • On Time Delivery

    Our motto is deliver assignment on Time. Our Expert writers deliver quality assignments to the students.

  • Plagiarism Free Work

    Get reliable and unique assignments by using our 100% plagiarism-free services.

  • 24 X 7 Live Help

    The experienced team of AssignmentHippo has got your back 24*7. Get connected with our Live Chat support executives to receive instant solutions for your assignment problems.

  • Services For All Subjects

    We can build quality assignments in the subjects you're passionate about. Be it Programming, Engineering, Accounting, Finance and Literature or Law and Marketing we have an expert writer for all.

  • Best Price Guarantee

    Get premium service at a pocket-friendly rate. At AssignmentHippo, we understand the tight budget of students and thus offer our services at highly affordable prices.

Tap to Chat
Get instant assignment help
Tap to Chat
Get instant assignment help