Block Matrices and Matrix Generation. Write one m$-$file for this problem. Remember to capture Matlab$$s screen output to a diary file and additionally write a text file with comments for the whole problem.

Let the matrices A and B and the vectors b$1$ and b$2$ be given by the following

$151323$ A$=235,$ B$=011,$

$415$

$2616$ b$1=26,$ b$2=1.$

$34$

Set up and solve the following system in Matlab. What are the sizes of the vectors x$1$ and x$2?$

ABTx$1$ b$1$ B$0$x$=$b

Note the above system is given in block form. You need to create the zero matrix in the system

x$1$

matrix of the correct dimension. After solving the system for x $=$ x

$,$ be sure to separate the larger augmented vector x into correctly sized smaller vectors x$1$ and x$2$ in your solution file.