Question

To enter a basis to WeWork, place the entries of each vector inside of brackets and enter a list of these vectors, separated Note: You can eam partial credit on this problem Problem 7. (9 points) Let E be the standard basis in Rand let B be an ordered basis in R (a) Find the transition matrix T from the basis to the basis B (b) Find the coordinates of the vector v with respect to the ordered basis B (c) Consider the ordered basis Find the transition matrix S from the basis to the basis B. Note: You can eam partial credit on this problem Type here to search

Answer 1

atves Bet 1 :] = <19+ -\ - fe* en to get to ]=> d=5, pz-1 fet 19] = «[?]+*[3] - [**] 22 +93 d+ 5% 5,ßerd 20+96=0 d+53-] => d=-9.6= 2 :1)] = [$]+ -»13] + 2 T-131 (b) fut 1:) - «[41++(3) -1 2758] 24+ 9B=-2. d +5 ß = -5 => 0= 035, ß--8 J

(6) fet 1:1) = -1 9] ++) :) - [***] 20+98=-7 1 = 2 = 1, ß and 2+56=-4 s Again, I 20+967 Ī 137 The got 99--19-23-1 let = 1 27197. "] + ß | d a +SP] 1] 207 9ß= 13. => ď= 2, ß= 1 d+5= 7 J 197 15]