Morse’s code uses dot and line sequence to represent English letters. Line contains 3 voltage pulses; dot contains only one voltage pulse. Hint: The probability of a line is 1/3 of probability of a dot. a) Give the information of dot and line. Information of dot: Information of line: b) Give the average information of Morse code:

To diagonalize an nxn matrix a means to find an invertible matrix p and a diagonal matrix d such that a pdp d p ap or [1 3 dh epap 3 let a=-3 -5 -3 3 3 1 step 1: find the eigenvalues of matrix a "2's" step 2: find the corresponding eigenvectors of a step 3: createp from eigenvectors in step 2 step 4 create d with matching eigenvalues.