Task question 3

Write a program that reads an $m\times n$ matrix $A=(a_{ij})$ from a text file with $m$ lines is a list of $n$ double entries separated by a space, then output the homogeneous system $Ax=0$ in explicit algebraic form with $m$ lines of text having the following format:

$a_{i1}$ * x[1] + $\dots$ $a_{in}$ * x[$n$ ].

The name of the file containing the matrix and the integer $n$ should be read from the command line.

For example, for the text file

  1 -2.3 3 0.0
  -9.123 2 -50 -1

you should obtain the following output:

x[1] - 2.3*x[2] + 3*x[3] = 0
-9.123*x[1] + 2*x[2] - 50*x[3] - x[4] = 0

Hint: if you have a file stream ifs and you want to read a double value off it, use the following construct.

double t;
ifs >> t;