Challenge Problem 1. The result of T1 of the Anton technology exercises for Chapter 1, section 1.7, may be generalized to help determine the inverse of a "block diagonal" matrix. The general result is that A-diag [D, D"..D"]. For the following block diagonal matrix, use the methods of this lab to determine the inverse of each of the 4 by 4 blocks of A thus determining 41. For each of D,, D,,..., D , explicitly write down the inverse matrix D,1,D..., Dl, of each block. Enter A and A-1 into MATLAB then solve AX = B using A-1 as was done herein for the given right hand side data vector B = [1 1 1 1 1 1 1] . Apply rre/to the augmented matrix to corroborate that the results of the two methods are in agreement. Provide MATLAB printouts of your work. A clean way to do this is to copy and paste the appropriate MATLAB commands and responses into a word document along with editorial comments D 0 0 0 0 D2 0 0 0 0 D 0 0 0 D :1 with a-a-fl]. D,.n-13 2 2 11 ,D,=D4=1221 D1=D3= 1 To enter A in MATLAB, use the blkdiag (block diagonal matrix builder) command. Enter the D, separately then use A-blkdiag(DI,D2,D3,D4)