Assignment 1: Solve this part of the assignment

Assignment 1: Solve this part of the assignment without using MATLAB (except for Q1) or calculators for
major parts of your answers. All steps have to be specified to receive full credit. No partial credit will be
awarded even if the answer is correct. Write your answer sheet properly. Points will be deducted for
scribbling and improperly presented answers
1. Shuffle the random number generator (‘rng’). Create two random 2×3 matrices and save
them as ‘A’ and ‘B’
2. Evaluate the outcome of following two operations for the matrices created in Q1
a. A.*B
b. A*B
c. A*BT
3. If
C=[1,2,3,4,5,6,7]
D=[3,1,-2,0,0,9,-11]
then, evaluate the outcome of the following condition
(((min (C) + min (D))==-10) && max(D.^2)>=200) || (D(3)+C(1,5))<50
4. For the array ‘C’ in question 3, compute the output of the script mentioned below,
Y=zeros(size(C));
for i=1:length(C)
if C(i)>=4
Y(i)=1;
end
end
Y
5. For the 4×4 matrix below find the rank and inverse using Adjoint/Determinant method and
then again using Gaussian Elimination method (Reduction of augmented matrix).
1 3
6 −2
1 1 −1 −5]
=[
3 1
0 6
−2 7 −3 1
Assignment 2 : Solve this part of the assignment using MATLAB only. Prepare your script/s and take
their prints. Explain your process using comments
6. Solve the following set of linear equation for variables x,y,z and w
+ 3 + 6 − 2 = 2
+ − − 5 = −6
3 + + 6 = 3
−2 + 7 − 3 + = 11
7. Interpolate the dataset using linear and cubic(spline) interpolation for x=2.33 and 4.5
x
0
1
2
3
4
5
8. Redo Homework 3.2

Y
15
10
9
6
2
0