Given the following: i) The column vectors: X1=[2 4 6]'; X2=[4 5 7]'; X3=[7 8 3]' % Note the above are column vectors (% In Matlab, ' means Transpose). ii) The matrix: A=[X1 X2 X3].
1)B=A'; % In Matlab, ' means Transpose. This defines B.
2)Let b=2X1+3X2+X3. Solve b=AX, for an unknown X by the Gauss- Jordan elimination method (by hand or using step-by-step procedures in MATLAB). Show your solution steps in details.
3) Determine the inverse of B by using (i) the definition of an inverse and by (ii) using the computational method.