Question 1

a. Define the following matrices in a script file (M-file), = ( 8 9 10 11; 23 9 16 15 ;11 12 3 6; 1 2 8 9 ) = ( 2 21 7 15; 12 4 8 22; 23 9 5 13; 23 4 21 22) = (4 9 12 15)

b. Add suitable lines of codes to the M-file to do the following. Each of the following points should be coded in only one statement.

i. Compute the array product (element by element product) of f and g.

ii. Compute the matrix product of f and the transpose of h.

iii. Invert matrices f and g using the inv command.

iv. Extract all first and third row elements of matrix f in a newly defined array j.

v. Extract all the elements of the second column of matrix f in a newly defined array k.

vi. Store the sum of each row and column of matrix f using the sum command in a newly defined array m (of size 24). The first row elements of m should equal the sum of the columns, and the second row elements equal the sum of the rows.

vii. Delete the 1st and 3rd rows of matrix g.