Let
Find (a)
(a)
Program Description: Purpose ofproblem is to calculate the value of
Summary introduction: Problem will use matrix additionin the matrices
Explanation of Solution
Given information:
The matrices A and B are,
Explanation:
The given matrices A and B are,
Multiply the matrix A by 2 and matrix B by 3 and then add them to obtain the value of
The value of
Conclusion:
Thus, thevalue of
(b)
Program Description: Purpose ofproblem is to calculate the value of
Summary introduction: Problem will use matrix subtractionin the matrices
Explanation of Solution
Given information:
The matrices A and B are,
Explanation:
The given matrices A and B are,
Multiply the matrix A by 3 and matrix B by 2 and then subtract them to obtain the value of
The value of
Conclusion:
Thus, thevalue of
(c)
Program Description: Purpose ofproblem is to calculate the value of
Summary introduction: Problem will use matrix multiplicationin the matrices
Explanation of Solution
Given information:
The matrices A and B are,
Explanation:
The matrices A and B are,
The multiplication of matrix A and B is calculated as,
The value of
Conclusion:
Thus, thevalue of
(d)
Program Description: Purpose ofproblem is to calculate the value of
Summary introduction: Problem will use matrix multiplication in the matrices
Explanation of Solution
Given information:
The matrices A and B are,
Explanation:
The matrices A and B are,
The multiplication of matrix B and A is calculated as,
The value of
Conclusion:
Thus, thevalue of
Want to see more full solutions like this?
Chapter 5 Solutions
Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis
- TM M = (Q, E, I, 6, 90, 9a, qr), where Q = {90, 91, 92, 9a, 9r}, Σ = {0, 1}, r = {0, 1, L}, and 8 is: 8(qo, U) = (qr, U, R) 8(90, 0) = 8(go, 1) (91, 0, R) (qo, 1, R) = 8(g1, L) = (ga, U, R) 8(91,0) = (91, 0, R) 8(91, 1) = (92, 1, R) = (92, U, R) 8(92, U) 8(92, 0) = (90, 0, R) 8(92, 1) = (92, 1, R) i. Prove that M is NOT a decider. ii. Mathematically describe the language A that M recognises. Prove that A ≤ L(M). iii. Prove A = L(M). iv. Is A Turing-decidable? [Give clear reasons for your answer. No need for a formal proof.]arrow_forwardThe following data are given: x= [1,3,5,7]; y=[ln (1), In (3), ln (5), ln (7)] 3. a) Use the interpld function from scipy.interpolate library to interpolate the above data using the spline interpolation method. b) Estimate the logarithm of 2 for linear, quadratic and cubic splines. Print out the true value, interpolating values and the true relative errors in % for linear, quadratic and cubic splines. c) Show on a graph the true function In(x), interpolating linear spline, interpolating quadratic spline, interpolating cubic spline, and data points. Round numbers to four significant digits.arrow_forwardQ3: Matrix a= [1 3 5; 2 4 6] b=[0 0 0; 11 1]....... a+b is equal :- C=[ 1 2 3; 3 5 7] a+b=[1 3 5; 3 5 7] ans [ 1 3 5; 3 5 7] This is a required question ! *arrow_forward
- Correct answer will be upvoted else Multiple Downvoted. Computer science. You are given an arrangement an of length n comprising of integers from 1 to n. The grouping may contain duplicates (for example a few components can be equal). Track down the number of tuples of m=3 components with the end goal that the maximum number in the tuple varies from the base by close to k=2. Formally, you want to view as the number of triples of lists i<j<z with the end goal that max(ai,aj,az)−min(ai,aj,az)≤2. For example, on the off chance that n=4 and a=[1,2,4,3], there are two such triples (i=1,j=2,z=4 and i=2,j=3,z=4). In the event that n=4 and a=[1,1,1,1], all four potential triples are suitable. Input The principal line contains a solitary integer t (1≤t≤2⋅105) — the number of experiments. Then, at that point, t experiments follow. The principal line of each experiment contains an integer n (1≤n≤2⋅105) — the length of the succession a. The following line contains n…arrow_forwardFor x[5] = {1,2,3,4,5}, use cout << x; in order to show all elements of x?arrow_forward1. [20 points] [MID] The subset21 problem is stated as follows. Given a set of N positive integers X elements of P is equal to 21. For example, if N=5 and the set X = {12, 17, 3, 24, 6}, the set P = {12, 3, 6} is a valid solution for the subset21 problem in this example. {x1, x2, ..., xm}. Find a subset P of the set X such that the sum of the Formulate the subset21 problem as a Genetic or Evolutionary Algorithm optimization. You may use binary representation, OR any representation that you think is more appropriate. you should specify: • A fitness function. Give 3 examples of individuals and their fitness values if are solving the above example (i.e. X you {12, 17, 3, 24, 6}). • A set of mutation and/or crossover and/or repair operators. Intelligent operators that are suitable for this particular domain will earn more credit. • A termination criterion for the evolutionary optimization which insures that you terminate with a valid solution for the subset21 problem if possible without…arrow_forward
- C++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage Learning