To encrypt the word ‘bleachers’ using the 3x3 encoding matrix D, we assign each letter a numerical value based on its position in the alphabet. Then, we multiply the matrix D with the resulting vector.
Numerical values: b=2, l=12, e=5, a=1, c=3, h=8, r=18, s=19
The matrix D is given as:
D = [1 2 1]
[0 1 3]
[2 1 2]
Multiply D with the column vector [2, 12, 5, 1, 3, 8, 5, 18, 19] to get the encoded matrix E.
The resulting matrix E is:
E = [12 19 21]
[6 5 9]
[6 11 12]
Thus, the simplified version of the encoded matrix E is:
E = [12 19 21]
[6 5 9]
[6 11 12]