Feedback on least-squares

[Jason Zhou]

In the section in Interactive Linear Algebra about Least Squares(the ellipse) I believe the RREF calculations is not correct.
The textbooko says the RREF form is
[[1,0,0,0,0,405/266],
[0,1,0,0,0,−89/133],
[0,0,1,0,0,201/133],
[0,0,0,1,0,−123/266],
[0,0,0,0,1,−687/133]]

But I believe it should be

[['1' '0' '0' '0' '0' '10355/8574'],
['0' '1' '0' '0' '0' '-102/1429'],
['0' '0' '1' '0' '0' '1623/1429'],
['0' '0' '0' '1' '0' '-2499/2858'],
['0' '0' '0' '0' '1' '-20113/4287']]

I have gotten this answer through multiple methods including, using my own code, using rref calculators online and using sympy.