Question

A. Design a matrix A with dimension 4 x 4 that represents a digital image of the letter U. assume that there are four gray levels from 0 to 3 .

B. Find a matrix B search the B-A represents the negative image of the picture represented by matrix A from part a.

(a) Design a matrix A with dimension 4x4 that represents a digtal image of the letter U. Assume that there are four gray levels from o to 3 (b) Find a matrix B such that B-A represents the negative image of the picture represented by matrx A from part a (a) Which of the following is a possible matrix A with dimension 4x4 that represents a digital image of the kher U? OA. о» Ос. o o 0 1 1 0 0 1 1001 1001 1001 100 1 011 1 1001 1 001 1001 10 0 1 1 0 01 1 00 1 11 0 (b) what is the matrix B such that B- A represents the negative image of the picture represented by matrx A from part a?

Answer 1

a) a matrix A with dimension 4x4 that represents a digital letter U is = $\begin{bmatrix} 1 & 0 & 0 & 1\\ 1 & 0 & 0 & 1\\ 1 & 0 & 0 & 1\\ 1 & 1 & 1 & 1 \end{bmatrix}$ .

b) Here, the negative image of the picture represented by matrix A is = $\begin{bmatrix} 0 & 1 & 1 & 0\\ 0 & 1 & 1 & 0\\ 0 & 1 & 1 & 0\\ 0 & 0 & 0 & 0 \end{bmatrix}$

Now,
1 00 1 0 -1 0 1 0 0 -1 1
$\begin{bmatrix} 1 & 0 & 0 & 1\\ 1 & 0 & 0 & 1\\ 1 & 0 & 0 & 1\\ 1 & 1 & 1 & 1 \end{bmatrix}$ = $\begin{bmatrix} 0 & 1 & 1 & 0\\ 0 & 1 & 1 & 0\\ 0 & 1 & 1 & 0\\ 0 & 0 & 0 & 0 \end{bmatrix}$

Then, B = .

1 00 1 0 -1 0 1 0 0 -1 1