Question 1.
(a) Find the coordinates a; b; c of (2; 1; i) relative to the orthonormal basis of C3,
f
1
5
(3; 0; 4i);
1
5
(4i; 0; 3); (0; i; 0)g:
(b) Check your answer by calculating a
5 (3; 0; 4i) + b
5(4i; 0; 3) + c(0; i; 0).
(a) Find the coordinates a; b; c of (2; 1; i) relative to the orthonormal basis of C3,
f
1
5
(3; 0; 4i);
1
5
(4i; 0; 3); (0; i; 0)g:
(b) Check your answer by calculating a
5 (3; 0; 4i) + b
5(4i; 0; 3) + c(0; i; 0).