Write the mat lab script that assigns the vectors P1 and P2, and adds two polyno

Question

Write the mat lab script that assigns the vectors P1 and P2, and adds two polynomials in vector format named P, where P = P1 + P2, i.e., P1 = 1 - 2x and P2 = -1 + 4x^3. > > ?? Given the set of commands in MATLAB, > > A = [1 -2 4; 2 -5 1;-1 3 0; 2 -2 -1] % first command > > A (2, 2:3) % second command > > A= - 2 *A; A (3, 2)^-1 degree % third command a. What will display on the screen after the first command? b. What will display on the screen after the second command? c. What will display on the screen after the third command? What is the array f displayed after execution of the following commands? > > p = [-1 0 1 2 3); N = length (p); f = p (N:-1:N-1).* [N - 2 N - 3] f = ___

Explanation / Answer

Part 1:

MATLAB code:

clear
clc

x = -5:1:5;
disp('x:'), disp(x);
p1 = 1-2*x;
p2 = -1 + 4*(x.^3);
disp('P1:'), disp(p1);
disp('P2:'), disp(p2);
p = p1 + p2;
disp('P:'), disp(p);

Output for Part 1:

x:
-5 -4 -3 -2 -1 0 1 2 3 4 5
P1:
11 9 7 5 3 1 -1 -3 -5 -7 -9
P2:
-501 -257 -109 -33 -5 -1 3 31 107 255 499
P:
-490 -248 -102 -28 -2 0 2 28 102 248 490
>>

Part 2:

Outputs:

>> A = [1 -2 4;2 -5 1;-1 3 0;2 -2 -1]
A =
1 -2 4
2 -5 1
-1 3 0
2 -2 -1
>> A(2,2:3)
ans =
-5 1
>> A = -2*A; A(3,2)^-1
ans =
-0.1667
>>

2(a) A 4x3 matrix is created.

2(b) Accessing columns 2 to 3 (2:3) in row 2.

2(c) Every element in A is multiplied by -2. Then the element in row 3, column 2 is inverted.

Part 3:

Output:

>> p = [-1 0 1 2 3]; N = length(p); f = p(N:-1:N-1).*[N-2 N-3]
f =
9 4
>>

N = length of p = 5.

N:-1:N-1 means take elements from N to N-1, with step -1 (go backward). So we get, [3 2] which is multiplied elementwise by [N-2 N-3] which is [3 2]. So the final answer is [9 4].

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