Compute QR factorization A = Q * R.

  A:
[[3]
 [4]
 [5]]

  Q:
[[-0.42426407 -0.56568542 -0.70710678]
 [-0.56568542  0.77532256 -0.2808468 ]
 [-0.70710678 -0.2808468   0.64894151]]
  R:
[[-7.07106781]
 [ 0.        ]
 [ 0.        ]]
  Q * R = A?:
[[3.]
 [4.]
 [5.]]
Pause
  Compute QR factorization A = Q * R.

  A:
[[ 3  2]
 [ 4  1]
 [ 5 -2]]

  Q:
[[-0.42426407 -0.66666667 -0.61282588]
 [-0.56568542 -0.33333333  0.75424723]
 [-0.70710678  0.66666667 -0.23570226]]
  R:
[[-7.07106781e+00 -4.44089210e-16]
 [ 0.00000000e+00 -3.00000000e+00]
 [ 0.00000000e+00  0.00000000e+00]]
  Q * R = A?:
[[ 3.  2.]
 [ 4.  1.]
 [ 5. -2.]]
Pause
  Compute QR factorization A = Q * R.

  A:
[[ 3  2  6]
 [ 4  1  8]
 [ 5 -2 10]]

  Q:
[[-0.42426407 -0.66666667 -0.61282588]
 [-0.56568542 -0.33333333  0.75424723]
 [-0.70710678  0.66666667 -0.23570226]]
  R:
[[-7.07106781e+00 -4.44089210e-16 -1.41421356e+01]
 [ 0.00000000e+00 -3.00000000e+00 -1.65041199e-15]
 [ 0.00000000e+00  0.00000000e+00 -1.89394496e-15]]
  Q * R = A?:
[[ 3.  2.  6.]
 [ 4.  1.  8.]
 [ 5. -2. 10.]]
Pause
  Compute QR factorization A = Q * R.

  A:
[[ 3  2  6 16]
 [ 4  1  8 18]
 [ 5 -2 10 16]]

  Q:
[[-0.42426407 -0.66666667 -0.61282588]
 [-0.56568542 -0.33333333  0.75424723]
 [-0.70710678  0.66666667 -0.23570226]]
  R:
[[-7.07106781e+00 -4.44089210e-16 -1.41421356e+01 -2.82842712e+01]
 [ 0.00000000e+00 -3.00000000e+00 -1.65041199e-15 -6.00000000e+00]
 [ 0.00000000e+00  0.00000000e+00 -1.89394496e-15 -3.55271368e-15]]
  Q * R = A?:
[[ 3.  2.  6. 16.]
 [ 4.  1.  8. 18.]
 [ 5. -2. 10. 16.]]
Pause
  Compute QR factorization A = Q * R.

  A:
[[ 3  2  6 16  7]
 [ 4  1  8 18  2]
 [ 5 -2 10 16  9]]

  Q:
[[-0.42426407 -0.66666667 -0.61282588]
 [-0.56568542 -0.33333333  0.75424723]
 [-0.70710678  0.66666667 -0.23570226]]
  R:
[[-7.07106781e+00 -4.44089210e-16 -1.41421356e+01 -2.82842712e+01
  -1.04651804e+01]
 [ 0.00000000e+00 -3.00000000e+00 -1.65041199e-15 -6.00000000e+00
   6.66666667e-01]
 [ 0.00000000e+00  0.00000000e+00 -1.89394496e-15 -3.55271368e-15
  -4.90260702e+00]]
  Q * R = A?:
[[ 3.  2.  6. 16.  7.]
 [ 4.  1.  8. 18.  2.]
 [ 5. -2. 10. 16.  9.]]
Pause