Hey guys I need to have the solutions of some questions related to C-Program.
I would be very very grateful to you guys, if you could kindly post the solutions for those questions. Thanks in advance!

Q.1 Write
a program to read in an NxN matrix and square it according the formula

       Sij = Σ(k=1 to N) A_ik A_kj.
Where A is the original matrix

 

Q.2  Write a program to read in starting values A,
X₁, Y₁ and perform the following     iteration:

 
      X _i+1
= Y _i ² - X _i

 
      Y _i+1
= X _i  -A                 N times (N read in)

       Then output the
answer X _N+1 ,Y _N+1 . Don’t use Dimensioned variables.

 

Q.3  Write a program to input two vectors of
arbitrary length N ( the same for both     vectors),

      ai and bi and calculate the dot product
defined as  Σ(i=1
to N) ai bi  and output
the result.

 

Q.4 Write a
program to perform;  Integration( 0 to 1) e^{-x^2} dx  using rectangles, i.e. break  up the  region into N+1 intervals, each of
width 1/N, and multiply the width by the values of e^{-x^2}  at the start and end of the interval and
divide by 2 ; Then sum this over all intervals. Leave N variable.