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Please put all your solutions into ONE file (preferably PDF, or MS-Word) and upl

ID: 2256633 • Letter: P

Question

Please put all your solutions into ONE file (preferably PDF, or MS-Word) and upload it on ualearn.blackboard.com anytime before the due date and time. Late, hardcopy, or emailed homework is not accepted. Fundamentals of MATLAB and Gauss-Jordan Elimination 1. Write a MATLAB script file to define t-2.5, then evaluate 3r2-cos(1.2T) + te" 2. Write a MATLAB script file to do the followings: . clear the screen and all the values in workspace . define the following variables: a-2, b-3 calculate these variables: c-2a/b, and d-(b/a) evaluate 4eau +r(d 3.this ystemdpendent orkndependent? Wihy? 2x-4y=-8 -3x + 6y=12 4. Use Gauss-Jordan elimination to solve the following simultaneous linear equations. 3x+4x2 +35=19 6x, +3x,+6x, -105 Note: copy and paste the contents of the script files and the MATLAB results into a MS-Word file, add the answer to problem 3 and 4 (you can scan or take a picture of your hand written solution and paste the GOOD QUALITY picture in the word file), then submit the MS-Word file (or PDF) on blackboard.

Explanation / Answer

1.

>>t=2.5

>> 3*t^2-cos(1.2*pi*t) + t*exp(-2*t)

2.

>> clc

>> clear

>> a=2

>> b=-3

>> c = 2*(a/b)

>> d = (b/a)^2

>>evaluate = 4*exp((3*c - a)/(a+2*d))+log(d-((2*a)/d))

>>

3.

>> syms x y

>> equation1 = 2*x-4*y==-8

>> equation2 = -3*x+6*y == 12

>>[A,B] = equationsToMatrix([equation1,equation2],[x,y])

>> X = linsolve(A,B)

Answer: x=-4, y=0

Here you get a Warning: solution is not unique because the system is rank-deficient

So This system is independent. Because of the system is rank-deficient

4.

>>syms x1 x2 x3

>> eq1=3*x1+4*x2+3*x3 == 19

>> eq2 = 6*x1-4*x2-x3 == -6

>> eq3 = 6*x1+3*x2+6*x3==105

>>[A,B] = equationsToMatrix([eq1,eq2],[x1,x2,x3])

>> X= linsolve(A,B)

Answer:

x1= 13/9 or 1.444445

x2 = 11/3 or 3.666667

x3 = 0

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