Reverse Matrix rows,columns

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

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