Please use in MATLAB fil.

1- On command window in MATLAB, make/define a 10 by 10 matrix whose first column has elements that are multiples of 2 i.e. 2 4 6 8 10 12 14 16 18 20, second column has elements that are multiples of 3 i.e. 3 6 9 12 15 18 21 24 27 30, third column has elements that are multiples of 4 i.e. 4 8 12 16 20 24 28 32 36 40, and this pattern would continue for all the columns till 10^th column which should have elements that are multiples of 11. In summary jth column should have elements that are multiples of j+1. The first row of the 10 by 10 matrix should be 2 3 4 11.

2-

On command window in MATLAB, make/define a 13 by 13 matrix whose first row has elements that are multiples of 2 i.e. 2 4 6 8 10 12 14 16 18 20 22 24 26 second row has elements that are multiples of 3 i.e. 3 6 9 12 15 18 21 24 27 30 33 36 39 third row has elements that are multiples of 4 i.e. 4 8 12 16 20 24 28 32 36 40 44 48 52 and this pattern would continue for all the rows till 13^th row which should have elements that are multiples of 14. In summary jth column should have elements that are multiples of j+1. The first column of the 13 by 13 matrix should be 2 3 4 5 6 7 8 9 10 11 12 13 14

Note: You must utilize colon operator that is : as taught to you in first week second class. You are not allowed to manually enter the 169 elements.

3-

On command window in MATLAB define a vector L = [0.2:0.2:20] and use the formula A_circle = piL²/4 and A_square = L² to find the areas respectively, using element by element operations.

Hint: Write like this A_circle = piL.^²/4 and A_square = L.^²

Question: Why dot . is so important in the formulas and what happens if you remove it?

4-

On command window in MATLAB define a row vector C = [3:4:25], a row vector D = [5, 2, -4, 11, 12, -5], column vector E = [5; 7; 19] and a column vector F = [40; 0; -2]

1. Perform element by element multiplication operation for the two row vectors C and D
2. Perform element by element multiplication operation for the vector C and transpose of vector D. In MATLAB, D' will generate the transpose of the matrix D
3. Find CD^T where T is the transpose of a matrix. In MATLAB, D' will generate the transpose of the matrix D. Note: This is a simple matrix multiplication that is asked in this problem (not element by element operation).
4. Perform element by element multiplication operation for/between the vectors E and F.

5-

If A = [1 2; 3 4], on command window in MATLAB perform 3^A and 3.^

6-

On command window in MATLAB define H = 7, G = [7] and K = [1 5 7; 8 9 10]. Find

1. M = G+K b) N = H+K c) Y = H+G.

Please Use MATLAB not just handwriting.