Minkowski space/3/Diagonal/Possibilities/Exercise

We equip ${ℝ}^3$ with the standard-Minkowski form.

a) Give a basis of ${ℝ}^3$ with the property that all diagonal entries in the Gram matrix with respect to this basis equal $1$.

b) Give a basis of ${ℝ}^3$ with the property that all diagonal entries in the Gram matrix with respect to this basis equal $-1$.

c) Give a basis of ${ℝ}^3$ with the property that all diagonal entries in the Gram matrix with respect to this basis equal $0$.

Create a solution