Question no 1

For each question that has letters such as \"31 etc use the following: ID1=1 ID1=2 ID3=7 ID4=4 le=8 l D5=8 QUESTION 1: 1. Consider the following vectors and matrix 37 = [IDg: ID5 1; 2113.1] . ban = [-TDn; 21133: m2] . c1" = [1131; 1m + 2; mos]. AT = [3:11:61 Fill in the corresponding values of the Irectors and matrioes. when appropriate. for an easier progress: ET = bT= : A: =i 1 (a) Find the size of the largest linearly independent set that we can create with the vectors a, b. and 0 {Show your writing). {3] 03] Consider the matrix A which has as first row the vector 51"". as second row the vector if. and as third rolnr the vector J. Find its determinant {show your working). [3] I'cl Calculate the vector oroiection of b onto a, I'd-l [d] Find the inverse of matrix A defined abeve at point 113:) (Show your working}. [5} (e) Find the eigenvalues of matrix A defined above at point 1(b) {shm your working}; [5}