% MATLAB EXPLANATION
%
% Example 1 - Introduction
%
% A percent sign at the beginning of a line indicates that the entire line
% will be a "comment". It is a good idea to distribute comments throughout
% your program to document what each part of the program accomplishes.
% In MATLAB, all variables are double precision floating decimal numbers.
% In MATLAB, an array or a matrix looks like any other variable name.
% A matrix has elements in rows and columns. Each element in a row is
% separated by a semincolon, while each element in different columns are
% separated by a comma.
% This problem illustrates solving the following three equations
% simultaneously:
% x + y - z = -1
% x + 2y + 3z = 9
% 2x - y - 2z = 4
% We define Matrix A and Matrix B
A = [1,1,-1;
1,2,3;
2,-1,-2];
% In Matrix A, the first row contains three elements: 1, 1, -1
% In Matrix A, the first column contains three elements: 1, 1, 2
B = [-1;9;4];
% Matrix B has 3 rows and 1 column, and so B is a 3 x 1 matrix.
C = A\B
% To have MATLAB solve this problem, Select "Run" from the editor bar.
% Alternatively, type the file name on the command line, as long as MATLAB
% can find the program, because it is in the correct "path".
% A semicolon at the end of a line will prevent that variable from being
% printed.
% The output of this problem is
%
% C =
%
% 4
% -2
% 3