Kunze Linear Algebra · Problem 2.4.3

Vector Spaces

Mathematics — Methods · coordinates-ordered-basis

Problem

Let

\mathfrak{B} = \{\alpha_1, \alpha_2, \alpha_3\}

be the ordered basis for

R^3

consisting of

\alpha_1 = (1, 0, -1), \quad \alpha_2 = (1, 1, 1), \quad \alpha_3 = (1, 0, 0).

What are the coordinates of the vector

(a, b, c)

in the ordered basis

\mathfrak{B}