%% Simple Matlab Example

%% (a) Solving a linear system
% We can use the backslash command to solve a linear system Ax=b:

format compact              % tells Matlab not to print blank lines between answers
A = [1,2,3; 2,1,0; 3,0,2]   % matrix A
b = [2;-1;2]                % rhs vector b
x = A\b                     % find solution vector x

%%  (b) Plotting the sine and cosine function
% Note that x = 0:.1:10 generates a vector with entries 0,.1,...,9.9,10.
% 
% sin(x) yields a vector with entries sin(0),sin(.1),...,sin(9.9),sin(10).

x = 0:.1:10;                % use semicolon for stuff you don't want to print!
plot(x,sin(x),x,cos(x))
legend('sin(x)','cos(x)')

