Bug in Factorizations Notebook

[4ndr3lu15]

When the @Assert is called at 11.2, it will not approve the result.
That is, where we see:

@assert A_diag ==  [-128.493    0.0      0.0      0.0       0.0;
             0.0    -55.8878   0.0      0.0       0.0;
             0.0      0.0     42.7522   0.0       0.0;
             0.0      0.0      0.0     87.1611    0.0;
             0.0      0.0      0.0      0.0     542.468] 

Will return false. The reason is this expression does not consider the minor terms of the floats.
When I make the following:

A_diag - [-128.493    0.0      0.0      0.0       0.0;
             0.0    -55.8878   0.0      0.0       0.0;
             0.0      0.0     42.7522   0.0       0.0;
             0.0      0.0      0.0     87.1611    0.0;
             0.0      0.0      0.0      0.0     542.468] 

The result is:

5×5 Matrix{Float64}:
 -0.000227648  0.0          0.0         0.0          0.0
  0.0          1.54469e-5   0.0         0.0          0.0
  0.0          0.0         -3.27207e-5  0.0          0.0
  0.0          0.0          0.0         1.47751e-5   0.0
  0.0          0.0          0.0         0.0         -0.000269853

So it is impossible to correctly answer the exercise.