Build the Lauchli matrix A = gallery(’lauchli’,50), and let b = (1:51)’.  Does  have full rank  Compute the condition number of  Compute the least-squares solution, 1  using qrlstsq.  Obtain solution...

Build the Lauchli matrix A = gallery(’lauchli’,50), and let b = (1:51)’.

 Does
 have full rank

 Compute the condition number of

 Compute the least-squares solution,

₁
 using qrlstsq.

 Obtain solution

₂
by using the normal equations.

. Comment on the results.