Find the uncoded 1×3 row matrices for the message "TWO IF BY LAND"; then encode the message using the encoding matrix [ 0 5

Letting  a "blank" = 0,  A =1, B = 2, C= 3....etc., we can place the original message into the following  5 x 3 matrix

[ 15 14  5

   0   9   6

   0   2  25

   0  12  1

   14  4  0 ]

We then multiply this matrix by the encoding matrix

[ 15 14  5           [ 0     5     -5 

   0   9   6             5    -5     5

   0   2  25           -5     5     0   ]

   0  12  1

   14  4  0 ]

And we get the following result.....call this Matrix "X"......this would be the matrix that we would send to our "receiver" 

[ 45       30   -5

  15     -15   45

  -115  115  10 

   55    -55   60

  20     50   -50 ] 

Now..... for the receiver to decode this matrix, he needs to first find the inverese of the encoding matrix ......this is

[ 1/5   1/5  0

  1/5   1/5  1/5

    0    1/5  1/5 ]

Now.....multiplying Matrix "X" by the inverse of the encoding matrix [in that order] would reveal our original message matrix to the receiver

And....lo and behold!!!!!........ the result is 

[ 15 14  5

   0   9   6

   0   2  25

   0  12  1

   14  4  0 ]        our original message matrix  !!!!!