Let V1 = (2,3,0,0) v2 = (0, 0, 1, −1) V3 = (1,0,0,4) v4 = (0,0,0,2) and show that (V1, V2, V3, V4) form a basis for R4. Find the coordinates of each of the standard basis vectors of R4, in the basis (V1, V2, V3, V4). ... Recall that the "standard basis" of ™ is just (e₁, ……., e), where e¿ is the vector with all components 0 except the ith component, which is 1. Recall also that the "coordinates" of a vector v in the basis (V1, ..., Un) are the unique coefficients ..., xn EF such that x1,.. v = x1v1 + ... tenn