Question

In each part, let Upper T Subscript Upper A Baseline colon Upper R Superscript 3 Baseline right-arrow Upper R Superscript 3 be multiplication by A, and let u = (1, -3, 1). Find the coordinate vector of
Upper T Subscript Upper A Baseline left-parenthesis u right-parenthesis relative to the basis S = {(1, 1, 0), (0, 1, 1), (1, 1, 1)}for Upper R Superscript 3.