Linear Algebra project using Matlab:

Exercises 1.) Given B= {5-3x+ x', x2 -6x',5+ x-x3 + 10x', 1+ x} as a basis for P,, find: a.) The transition matrix from the standard basis for P, to B. b.) [3x3 - 2x2 - 7x+5] 1 2 -2 2.) Given A= 3 6 -5 4 , find the following using MATLAB: 1 2 0 3 c.) A basis for the null space of A using the built in command. d.) The null space of A. e.) The column space of A. f.) A basis for the column space of A. g.) The row space of A. h.) A basis for the row space of A. 3.) Given B= {(1,2,3,4), (5, 6, 7,8), (9, 10,12, 13), (14,15, 17,19)} and C={(2,-6,7,-33), (19,3,-6,-23), (3,-7,-2,8), (87,3,-6,5)} as bases for R*, find: a.) [v]c given [v], =[5 -4 -5 4]. b.) [v], given [v] = [11 -3 5 -12]&quot