I'm doing an assignment of linear algebra, to compare the performance and stability of QR factorization algorithms Gram-Schmidt and Householder. 

My doubt comes when calculating the following table:

![enter image description here](https://i.stack.imgur.com/pkl0Q.jpg)

Where the matrices Q and R are the resulting matrices of the QR factorizations by applying the Gram-Schmidt and householder to a Hilbert matrix A, I is the identity matrix of dimension N; and || \* || is the Frobenius norm‎. 

When I do the calculations on different computers i have different results in some cases, may be due to this?. The above table corresponds to the calculations performed in a 32-bit computer and the next table in a 64-bit: 

![enter image description here](https://i.stack.imgur.com/c99Vq.jpg)

These results in matlab involves computer architectures in which the calculations were made?