The following system of vectors generates a subspace. What is the dimension of the generated subspace? Let's show a basis of the subspace. Choose a basis of the subspace from the given generating elements!

[1,1,0,...,0], [0,1,1,0,...,0], ..., [0,0,...1,1], [1,0,...,0,1]

I would be grateful if you could help me!

Thank you in advance!