Question

2. Vector variables. Make the following variables a. aVec 3.14 15 9 26) 2.71 28 182 c. cVec [S 4.8 d. dVec-[10° 10 -48 -5] (all the numbers from 5 to-5 in increments of-0.2) (logarithmically spaced numbers between 1 1 l010 and 10, use logspace, make sure you get the length right!) epec = Hello (ere is a string, which is a vector of characters) e. 3. Matrix variables. Make the following variables a. aMat-.. a 9x9 matrix full of 2's (use ones or zeros) b. bMat0 5 0 a 9x9 matrix of all zeros, but with the values ..01 1 2 3 4 5 4 3 2 1on the main diagonal (use zeros, diag) 1 . 91 2 12 .. 92 a 10x10 matrix where the vector 1:100 runs down the 10 20 100 columns (use reshape). NaN NaN NaN NaN d. dMat=| NaN NaN NaN NaN! a 3x4 NaN matrix (use nan) NaN NaN NaN NaN 13 -15 22 10-87 e. eMat= f. Make Mat be a 5x3 matrix of random integers with values on the range -3 to 3 (use rand and floor or ceil) Matrik equations. Using the variables created in 2 and 3, solve the equations below. Use matrix operators. 6. a. xMat (aVecbVec)aMat b. vMa! = bVec"alec , note that this is not the same as aVec.bVec c. 2Mat=leMarl (aMat-bMat)', where lcMat! is the determinant of cMar, and T again indicates the transpose (use det)

copy the text from the script, paste it into a DOC or PDF. if a Q asks to plot or display something to the screan include the plot & screan output the code generates.

Answer 1

Note :

All the parts of the questions have been done and are present in the below code. The question parts are denoted in the comments in the code.

Matlab code for the above questions :

aVec = [3.14 15 9 26] % 2. a)
bVec = [2.71; 8; 28; 182] % 2. b)
cVec = 5:-0.2:-5 % 2. c)
dVec = logspace(0,1,101) % 2. d)
eVec = 'Hello' % 2. e)

aMat = 2 * ones(9,9) % 3. a)
bMat = diag([1 2 3 4 5 4 3 2 1]) % 3. b)
cMat = reshape(1:1:100,[10,10]) % 3. c)
dMat = nan(3,4) % 3. d)
eMat = [13 -1 5; -22 10 -87] % 3. e)
fMat = floor (-3 + 6.*rand(5,3)) % 3. f)

xMat = (aVec*bVec)*aMat*aMat % 6. a)
yMat = bVec*aVec % 6. b)
zMat = det(cMat) * (aMat * bMat)' % 6. c)

Output of the code (according to questions parts):

2. a)

aVec =

3.1400 15.0000 9.0000 26.0000

2. b)

bVec =

2.7100
8.0000
28.0000
182.0000

2. c)

cVec =

Columns 1 through 16

5.0000 4.8000 4.6000 4.4000 4.2000 4.0000 3.8000 3.6000 3.4000 3.2000 3.0000 2.8000 2.6000 2.4000 2.2000 2.0000

Columns 17 through 32

1.8000 1.6000 1.4000 1.2000 1.0000 0.8000 0.6000 0.4000 0.2000 0 -0.2000 -0.4000 -0.6000 -0.8000 -1.0000 -1.2000

Columns 33 through 48

-1.4000 -1.6000 -1.8000 -2.0000 -2.2000 -2.4000 -2.6000 -2.8000 -3.0000 -3.2000 -3.4000 -3.6000 -3.8000 -4.0000 -4.2000 -4.4000

Columns 49 through 51

-4.6000 -4.8000 -5.0000

2. d)

dVec =

Columns 1 through 16

1.0000 1.0233 1.0471 1.0715 1.0965 1.1220 1.1482 1.1749 1.2023 1.2303 1.2589 1.2882 1.3183 1.3490 1.3804 1.4125

Columns 17 through 32

1.4454 1.4791 1.5136 1.5488 1.5849 1.6218 1.6596 1.6982 1.7378 1.7783 1.8197 1.8621 1.9055 1.9498 1.9953 2.0417

Columns 33 through 48

2.0893 2.1380 2.1878 2.2387 2.2909 2.3442 2.3988 2.4547 2.5119 2.5704 2.6303 2.6915 2.7542 2.8184 2.8840 2.9512

Columns 49 through 64

3.0200 3.0903 3.1623 3.2359 3.3113 3.3884 3.4674 3.5481 3.6308 3.7154 3.8019 3.8905 3.9811 4.0738 4.1687 4.2658

Columns 65 through 80

4.3652 4.4668 4.5709 4.6774 4.7863 4.8978 5.0119 5.1286 5.2481 5.3703 5.4954 5.6234 5.7544 5.8884 6.0256 6.1660

Columns 81 through 96

6.3096 6.4565 6.6069 6.7608 6.9183 7.0795 7.2444 7.4131 7.5858 7.7625 7.9433 8.1283 8.3176 8.5114 8.7096 8.9125

Columns 97 through 101

9.1201 9.3325 9.5499 9.7724 10.0000

2. e)

eVec =

Hello

3. a)

aMat =

2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2

3. b)

bMat =

1 0 0 0 0 0 0 0 0
0 2 0 0 0 0 0 0 0
0 0 3 0 0 0 0 0 0
0 0 0 4 0 0 0 0 0
0 0 0 0 5 0 0 0 0
0 0 0 0 0 4 0 0 0
0 0 0 0 0 0 3 0 0
0 0 0 0 0 0 0 2 0
0 0 0 0 0 0 0 0 1

3. c)

cMat =

1 11 21 31 41 51 61 71 81 91
2 12 22 32 42 52 62 72 82 92
3 13 23 33 43 53 63 73 83 93
4 14 24 34 44 54 64 74 84 94
5 15 25 35 45 55 65 75 85 95
6 16 26 36 46 56 66 76 86 96
7 17 27 37 47 57 67 77 87 97
8 18 28 38 48 58 68 78 88 98
9 19 29 39 49 59 69 79 89 99
10 20 30 40 50 60 70 80 90 100

3. d)

dMat =

NaN NaN NaN NaN
NaN NaN NaN NaN
NaN NaN NaN NaN

3. e)

eMat =

13 -1 5
-22 10 -87

3. f)

fMat =

-1 -1 -3
-1 -3 -1
1 -2 0
-2 1 -2
1 -1 1

6. a)

xMat =

1.0e+05 *

1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405
1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405
1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405
1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405
1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405
1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405
1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405
1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405
1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405 1.8405

6. b)

yMat =

1.0e+03 *

0.0085 0.0406 0.0244 0.0705
0.0251 0.1200 0.0720 0.2080
0.0879 0.4200 0.2520 0.7280
0.5715 2.7300 1.6380 4.7320

6. c)

zMat =

0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0