Let B be the set of vectors in R^3 given by
B = (1, 1, 0) , (1, 1, 1) , (0, 1, −1).
1. For x = (x1, x2, x3)^T a vector in R^3, find the scalars c1, c2, c3 (that will
depend on x1, x2, x3) such that
x = c1(1, 1, 1) + c2(1, 1, 1) + c3(0, 1, −1)
Can anyone help me solve this? Showing the steps to solve this would be great.
Thank You.