1. Arrays and Vectors Exercise In the MATLAB command window enter the

1. Arrays and Vectors Exercise 

In the MATLAB command window enter the E array, extract all the columns from E in 

different column vectors named EC_1, EC_2, and EC_3. Manually run the 

requested operations, also submit a screenshot of your work in MATLAB.

a) EC_1 + EC_2

b) -3*EC_1 + 2*EC_3

c) 0*EC_3

2. Matrix Sorting Exercise 

In the command window, use the appropriate MATLAB functions to: 

a) Obtain a higher triangular matrix ETS from the matrix E of exercise 1. 

b) Then obtain a lower triangular matrix ETI from E; and 

c) Finally, use the MATLAB diag() function to extract the elements from the 

main diagonal of E in a column vector called DE. For this you must execute 

In the command window the statement: 

>> help diag 

For assistance with such instruction. You will need to run the diag() statement with two 

arguments: X and K. Find out that they are X and K to get the correct result.

3. Operations with matrices 

Let A and B matrices of (3 x 2), find a matrix G such that A + B + G results in a 

matrix of (3 x 2) with all its elements equal to 1.

4. Properties of Operations with Arrays 

If a matrix product AB results in a column vector, which of the following 

statements is correct with respect to matrices A and B? 

a) A is a row vector 

b) Matrix B is a column matrix or column vector 

c) A and B are necessarily square 

d) The number of columns in A is different from the number of rows in B 

Demonstrate your answer with a numerical example. You can use MATLAB for this purpose.