MATLAB: An Introduction with Applications, 6th Edition: An Introduction with Applications
6th Edition
ISBN: 9781119385134
Author: Amos Gilat
Publisher: WILEY
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Chapter 6, Problem 8P
Write a program that asks the user to input a
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. Create a vector named prob18a that has 10 elements of which the first is 8, the increment
is 7, and the last element is 71. Then, assign elements of prob18a to a new vector prob18b
such that prob18b has 7 elements. The first 4 elements of prob18b are the first 4 elements
of the vector prob18a and the last 3 elements of prob18b are the last 3 elements of
prob18a. Do not type the vector elements explicitly.
Solve the following exercises, you will need to show all your work to receive full credit. Consider the
matrix,
2 1 -2
2 3 -4
1
1
1
-
Knowing that f(t) = (t – 1)²(t - 2) is the characteristic polynomial, do the following:
1. find a basis of eigenvectors;
2. Find P such that P- AP is a diagonal matrix D. Give D
Make syntax for both item1 and 2.
Chapter 6 Solutions
MATLAB: An Introduction with Applications, 6th Edition: An Introduction with Applications
Ch. 6 - Prob. 1PCh. 6 - Given: d=6e=4f=2 . Evaluate the following...Ch. 6 - Given: v=[-2 4 1 0 2 1 2] and w=[2 50 1 2 1 3]....Ch. 6 - Use the vectors v and w from Problem 3. Use...Ch. 6 - Evaluate the following expressions without using...Ch. 6 - Use loops to create a 46 matrix in which the value...Ch. 6 - Write a program that generates a vector with 30...Ch. 6 - Write a program that asks the user to input a...Ch. 6 - Write a program that asks the user to input a...Ch. 6 - The daily high temperature (°F) in New York City...
Ch. 6 - The Pascal triangle can be displayed as elements...Ch. 6 - Fibonacci numbers are the numbers in a sequence in...Ch. 6 - The reciprocal Fibonacci constant ?is defined by...Ch. 6 - The value of p can be estimated from:...Ch. 6 - The value of p can be estimated from the...Ch. 6 - Write a program that (a) generates a vector with...Ch. 6 - A vector is given by x= [9 -1.5 13.4 13.3 -2.1 4.6...Ch. 6 - The Pythagorean theorem states that a2+ b2= c2....Ch. 6 - Write a MATLAB program in a script file that finds...Ch. 6 - A safe prime is a prime number that can be written...Ch. 6 - Sexy primes are two prime numbers that the...Ch. 6 - A Mersenne prime is a prime number that is equal...Ch. 6 - A perfect number is a positive integer that is...Ch. 6 - A list of exam scores (S) (in percent out of 100%...Ch. 6 - The Taylor series expansion for axis:...Ch. 6 - Write a MATLAB program in a script file that finds...Ch. 6 - The following are formulas for calculating the...Ch. 6 - Body mass index (BMI) is a measure of obesity. In...Ch. 6 - Write a program in a script file that calculates...Ch. 6 - Write a program that determines the change given...Ch. 6 - The concentration of a drug in the body CPcan be...Ch. 6 - One numerical method for calculating the cubic...Ch. 6 - Write a program in a script file that converts a...Ch. 6 - In a one-dimensional random walk, the position x...Ch. 6 - The Sierpinski triangle can be implemented in...Ch. 6 - The roots of a cubic equation a3x3+a2x2+a1x+a0=0...Ch. 6 - The overall grade in a course is determined from...Ch. 6 - A Keith number is a number (integer) that appears...Ch. 6 - The following MATLAB commands create a sine-shaped...
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- If vector A = [4,1] and vector B = [-3,2] and A-B = [-1,-1] Sketch the computation above and represent it as a vector additionarrow_forwardThe vector y is a numerical vector. Which ONE of the following best describes what the R code below will calculate? sum(!is.na(y)) A logical vector of the same length as the vector y, which takes the value TRUE for values in y which are NOT missing and FALSE for values in y which ARE missing. Replaces each value in y with TRUE if it is not missing and FALSE if it is missing The number of non-missing values in the vector y. The number of missing values in the vector y. The propostion of non-missing values in the vector y.arrow_forwardThat is not correct. The first Vector answer is [-2/3, -1/3, -2/3] (column wise format.)arrow_forward
- 6. -2 Write -7 as a linear combination of the vectors 4 -1 一日一日一日 6. -2 -7 2 4arrow_forward5 Perform the following steps in R. Answer the questions in parts where there are questions. Attach R code. (a) create a vector in R. that contains the elements 10, 3, 6, 9, 20, 1, 4, and 5. (b) assign the vector to an R object named x. (c) assign x to another R object named y. Now you should have two stored R objects, x and y. (d) print out x and y. Note that they are the same vector. (e) compute the variances for x and y. What are the variances for x and y? (f) compute the covariance between x and y. What is the covariance between x and y? (g) What is the relationship between the variance of x and the covariance between x and y? (h) compute the correlation between x and y. What is the correlation between x and y?arrow_forwardA vector is written as aî + bĵ. What form is that?arrow_forward
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