Mathegoras

Vectors and matrices › Rank, eigenvalues and linear maps › Coordinates in a basis

Coordinates in a non-standard basis

University · ●●○○○ 20 pts

Let v=[6,3,2,5]v = [6, 3, 2, 5], a1=[2,2,2,3]a_1 = [2, 2, 2, 3], a2=[1,0,−1,0]a_2 = [1, 0, -1, 0] and a3=[0,1,0,1]a_3 = [0, 1, 0, 1]. Find the coordinates [α1,α2,α3][\alpha_1, \alpha_2, \alpha_3] of vv in terms of a1,a2,a3a_1, a_2, a_3, that is, the coefficients with v=α1a1+α2a2+α3a3v = \alpha_1 a_1 + \alpha_2 a_2 + \alpha_3 a_3.

Sign in to save your progress.

linear combinationssystems of linear equations