Write a shell script to reverse the rows and columns of a matrix [ Unix Lab ]

Write a shell script to reverse the rows 

and columns of a matrix. 

Echo "Enter Number of rows"

read  r 

Echo "Enter Number of columns"

read  c 

i=0

echo "Enter elements"

until [ $i –eq `expr $r \* $c` ]

do

       read a[$i]

       i= `expr $i + 1`

done

i=0 ;  k=0

echo "Transpose of a Matrix"

until [ $i –eq $c ]

do

       j=0;

       until [ $j –eq $r ]

       do

              n= `expr $j \* $c`

              m= `expr $n + $i

              b[$k] = ${a[$m]}

              echo "${b[$k]} \t"

              k= `expr $k + 1`

              j= `expr $j + 1`

       done

       i = `expr $i + 1`

       echo "\n"

done