Question

(4 points) Consider the basis of R5 given by with b2 (2,-1,-5,-4,7), b3-(3, 2,-7,-5,9) b4 2,1,4,4,-5) bs (-1,0,1,2,0) The MATLAB code to produce the basis vectors is given by b1 11,0-2-2.3], b2 -12-1.-5-4,7T, b3 13-2-7-5,91, b4 [-2,14.4-5T, b5 1-1,0,1,20 Let S denote the standard basis for R a Find the transition matrix P P,s PB,s b. Use the previous answer to calculate the coordinate matrix of the vector z ( 1,5, 4, 3, 3) with respect to B The MATLAB code can be generated via z--1,5,4-3-3T A inear transformation T : R5 -R5 เร given by: Write down the matrix representation of T with respect to S d. Find the matrix representation Ts ofr with respect to B. Write down the (4,1) and (3,4) entries of ris ส41)-36

solution of question d

Answer 1

et P be the change of basis matix the change of basis mafu で 3 79 -s 14-ig 24-4 147 56 124 15 49 133-36 log 28亿 L-217 -r: 2-29-63 66 千,L): t33