Kunze Linear Algebra · Problem 3.5.2

Linear Transformations

Mathematics — Methods · dual-basis

Problem

Let

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

be the basis for

C^3

defined by

\alpha_1 = (1, 0, -1), \quad \alpha_2 = (1, 1, 1), \quad \alpha_3 = (2, 2, 0).

Find the dual basis of

\mathfrak{B}