One way to enter a matrix in MATLAB is as follows. Suppose we wish to enter the

matrix

$314598260753243$

and store it in location a$.$ Then we type a $=[$ and enter the matrix in rows. We end a row by a semicolon and then input the next row, put a semicolon and so on$,$ ending with $].$

$16$ Do this for the matrix above and also for the vector b $=30$

$6$

Now discover what each of the following commands does. Type the commands in MATLAB, then copy the code into an editor, put in some comments as to what the effect of the computation is$.$

$(1).$c$=[$a b$]$

$(2).$ d$=$c$(3,5)$

$(3).$ e$=$c$(2,$:$)$

$(4).$ f $=$ c$($:$,2)$

$(5).$ g $=$ c$($:$,[135])$

$(6).$ c$([13],$ :) $=$ c$([31],$ :$)$

$(7).$ c$(3,$:$)=5$c$(3,$:$)$

$(8).$ c$(3,$:$)=$c$(3,$:$)+($c$(3,1)/$c$(1,1))$c$(1,$:$)$

$(9).$ zeros$(5,2)$

$(10).$ eye$(6)$