Question

Solve using Matlab

Write a simple loop to list the squares of the first 10 integers. Using a simple "while" loop, write a script to sum the series 1 + 2 + 3 + ... such that the sum is as large as possible without exceeding 100. The program should display how many terms are used in the sum. Write a script that takes as input an integer n and creates the n*n matrix A with (ij)th component given by A(i, j) = sin(l/(i + j - 1).

Answer 1

1.

function A = sq()
A = [];
for i = 1: 10
A = [A i*i];
end
end

= sq.m RUN Vars [1x10] ans 1 function Asq() for i-1:10 end 6 end 10 octave: 12> sq() ans = 4 91625 3649 64 8110e

2.

function terms = sumterms()
sum = 0;
terms = 0;
i = 1;
while true
sum = sum + i;
if sum <= 100
terms = terms + 1;
i = i+1;
else
break;
end
end
end

E sumterms.m RUN Vars # ans 1 function terms= sunterms() terms = 0; 4 while true sum = sum + i; ífsum <= 100 7 termsterms + 1; :9 10 else break; end 12 13 14 end end octave: 16> sumterms () ans13

3.

function X = matrixop(n)
X = zeros(n)
for row = 1:n
for col = 1:n
X(row,col) = sin (1/(row+col-1));
end
end
end

matrixop.m RUN Vars octave: 16> matrixop (5) [5x5] ans 1 function Xmatrixop (n) x-zeros (n) for row1:n 4 for col-1:n X(row, col) sin (1/ (row+col-1) 6 7 8 end 9 end end 6.84147 θ.47943 θ.32719 θ.24740 Θ,19867 0.47943 θ.32719 θ.24740 θ,19867 θ,16590 0.32719 θ.24740 Θ·19867 Θ·16590 θ·14237 0.24740 θ,19867 θ.1659Θ θ.14237 Θ.12467 6.19867 θ.16590 θ.14237 θ,12467 Θ.11088