Find the coordinates a, b, c of (2,1, i) relative to the orthonormal basis of C3, {1/5(3,0,4i),1/5 (4i,0,3),(0,i,0)}. Check your answer by calculating a/5 (3,0,4i) + b/5 (4i, 0,3) + c(0, i , 0).
Show transcribed image textFind the coordinates a, b, c of (2,1, i) relative to the orthonormal basis of C3, {1/5(3,0,4i),1/5 (4i,0,3),(0,i,0)}. Check your answer by calculating a/5 (3,0,4i) + b/5 (4i, 0,3) + c(0, i , 0).