title: Solve A linear equation system b=0 Rstudio
body: <p>i would solve a linear equation system like this: </p>
  
  <pre><code>x_1*3+x_2*4+x_3*5+x_4*6+x_6*2=0
  x_1*21+x_2*23+x_3*45+x_4*37*+x_6*0=0
  x_1*340+x_2*24+x_3*25+x_4*31+x_6*0=0
  x_1*32+x_2*45+x_3*5+x_4*6+x_7*2=0
  x_1*9+x_2*11+x_3*13+x_4*49+x_7*0=0
  x_1*5+x_2*88+x_3*100+x_4*102+X_7*2=0
  
  
  
       [x_1][x_2][x_3] [x_4]  [,5]
  [1,]   3    4     5     6     2
  [2,]  21   23    45    37     0
  [3,]  340  24    25    31     0
  [4,]  32   45     5     6     2
  [5,]    9  11    13    49     0
  [6,]   5   88   100   102     2
  </code></pre>
  
  <p>i use solve this linear homogeneous equation system with <code>MASS::null(t(M)</code>,
  but the problem is that find x_1....x_4, but x_5 find only one solution but i need different three value that is x_5,1,x_5,2 and x_5,3.
  value of matrix are random, and they can be changed</p>