FOR MATLAB

Create the following matrices, and use them in the exercises that follow:

A = [ 15 3 22

3 8 5

14 3 8 ]

B = [ 1 5 6]

C = [12 18 5 2]

1. Extract the first two columns from matrix A.

2. Extract the last two columns from matrix A.

3. Extract the last row from matrix A

4. Extract the following sub-matrix x from matrix A

X= [ 15 3

3 8]

5. Compute the sum of the third row matrix A.

6. Compute the sum of the first column from matrix A.

7. Create a matrix called D from the third column of matrix A.

8. Combine matrix B and D to create matrix E, a two-dimensional matrix with three rows and two columns

9. Combine matrix B and matrix D to create matrix F, a one-dimensional matrix with six rows and one column

10. Create a matrix G from matrix A and the first three elements of matrix C, with four rows and three columns.

11. Create a matrix H with the first element equal to A_{1, 3}, the second element equal to C_1,2 and the third element equal to B_2,1

12. Find the largest and the smallest element in each column of matrix A and their indices.

13. Sort each column in matrix A to create a new matrix J.

14. Transpose the matrix A and create the following matrix K

K = [ 15 3 22

3 8 5

14 3 8

15 3 14

3 8 3

22 5 8]