Academic Year 2023

Physics entry test – session 3

1. What is the output of this code

A = 3:30;
B = -21:-8;
A = reshape (A, [4,7]);
B = reshape (B, [7,2]);
C = A*B;

disp(size (C) *3);

| A       | B     | C      | D     | E     | F     | G      | H      |
|---------|-------|--------|-------|-------|-------|--------|--------|
| (12,21) | (9,9) | (12,6) | (3,3) | (4,8) | (8,3) | (16,8) | (28,8) |

2. What is the output of this code?

x = linspace (25,11,3);
y = 4: (exp(2) -1);
z = cross (x, y);
disp (max(z));

| A  | B  | C | D  | E  | F   | G | H  |
|----|----|---|----|----|-----|---|----|
| -1 | 54 | 3 | 53 | 46 | 119 | 0 | 16 |

3. What is the output of this code?

M(1,:) = [2,0,2];
M(2,:) = [4,-0.5,0];
M(3,:) = [4,0,0];
N = transpose (M) ;
I = inv(N) ;
E = max(eig (I));
disp(E) ;

| A | B    | C  | D   | E | F | G   | H  |
|---|------|----|-----|---|---|-----|----|
| 2 | 0.25 | -1 | 0.5 | 1 | 4 | 4.5 | -2 |

4. What is the output of this code?

str = '3';

for ik = -1:8
    j = ik + 1;
    if check value(j)
        str = strcat(str,num2str(j));
    end
end

disp(str)

function out = check value (val)
    val = val + 7;
    if mod (val, 5)>2
        out=1;
    else
        out=0;
    end
end

| A   | B    | C  | D    | E     | F     | G     | H    |
|-----|------|----|------|-------|-------|-------|------|
| 312 | 2784 | 27 | 3712 | 31267 | 32768 | 32165 | 5673 |

5. What is the output of this code?

A = 1:2:17;
A = reshape (A, [3, 3]);
B(:,1) = linspace (3,1,3);

C = A*B;

disp([1 -2 1]*C);

| A  | B   | C  | D  | E | F   | G  | H |
|----|-----|----|----|---|-----|----|---|
| 49 | -27 | 34 | -2 | 5 | -71 | 21 | 0 |

6. What is the output of this code?

x = [1:0.005:10];
y = sin(x) .*(cos(10*x) + 1);
plot (x, y)