16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 3.2.2

Linear Transformations

Mathematics — Linear Algebra · invertibility-linear-operator

Problem

Let

T

be the (unique) linear operator on

C^3

for which

T\epsilon_1 = (1, 0, i), \quad T\epsilon_2 = (0, 1, 1), \quad T\epsilon_3 = (i, 1, 0).

T

invertible?