Lab 1 Math 152 - matlab PDF

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Arpan Grover Student number: 76557172 Lab section: L2B Instructor: Ozgur Yilmaz

Q2. (a) >> (1/3)*(A/2 + 2*B) ans =

Q1. (a)

2.0000 1.5000 -0.5000

>> X = 1.5:-0.5:-1

(b)

X=

>> C = [1 0 1; 0 1 0; 1 0 1]

Columns 1 through 5 1.5000 1.0000 0.5000

C= 0 -0.5000

1

0

1

Column 6

0

1

0

-1.0000

1

0

1

(b) >> Y = [2017 1 3; -5 100 4; 0 -2.5 23]

>> D = [0 1 0; 1 9 2; 1 1 1]

Y=

D=

1.0e+03 *

0

1

0

2.0170 0.0010 0.0030

1

9

2

-0.0050 0.1000 0.0040

1

1

1

0 -0.0025 0.0230 (c)

>> (3*C - 4*D)/5 ans =

>> A = [1 2 3]

0.6000 -0.8000 0.6000

A=

-0.8000 -6.6000 -1.6000

1

2

3

>> B = [4 5 6] B= 4

5

6

>> [A;B] ans = 1

2

3

4

5

6

-0.2000 -0.8000 -0.2000

Q3. (a)

Q4. (a)

>> X = [5 12 0]

>> A = [2 0 1 7]

X=

A=

5 12

0

2

0

1

7

>> sqrt(dot(X,X))

>> B = [-1 9 9 9]

ans =

B=

13

-1

9

9

9

>> norm(X)

>> X = dot(A,B)

ans =

X=

13

70

(b)

>> acos(X/((sqrt(dot(A,A)))*(sqrt(dot(B,B)))))

>> A = [1 -2 -4]

ans =

A=

0.9150

1 -2 -4 >> B = [2 0 1] B= 2

0

1

ans = -2 -9

4

>> dot(cross(A,B),A) ans = 0 >> dot(cross(A,B),B)

0 0.5000 1.0000

sin(X)./cos(X) ans = -0.5463

(c)

0

X= -0.5000

>> cross(A,B)

ans =

(b) X = [-0.5 0 0.5 1 ]

0 0.5463 1.5574...