(14 points) Consider the Matrix, M = 16 2 3 13 5 11 10 8 9 7 6 12 4 14 15 1 . Using the index operations write MATLAB statements to retrieve the following. (a) The value in the first row and second column(ie. 2) (b) The value in the third row and third column (ie. 6) (c) All the elements in the first row (d) All the elements in the second column (e) All the elements in the first 2 rows (row 1 & 2) (f) All the elements in the last 2 columns (columns 3 & 4) (g) The elements 3 13 10 8

The Matlab commands for the given index operations and corresponding outputs are given below.

Explanation:

clc   % is used to clear the command window of the Matlab

clear all   % is used to clear the variables stored in Matlab workspace

% We are given a 4x4 matrix

Matlab command:

M = [16 2 3 13; 5 11 10 8; 9 7 6 12; 4 14 15 1]

output:

M =

   16     2     3    13

    5    11    10     8

    9     7     6    12

    4    14    15     1

(a) The value in the first row and second column (ie. 2)

Matlab command:

a = M(1,2)

% where a = Matrix(row_1,column_2)

output:

a =

    2

(b) The value in the third row and third column (ie. 6)

Matlab command:

b = M(3,3)

% where b = Matrix(row_3,column_3)

output:

b =

     6  

(c) All the elements in the first row

Matlab command:

c = M(1,:)

% where c = Matrix(row_1,:)

output:

c =

   16     2     3    13

(d) All the elements in the second column

Matlab command:

d = M(:,2)

% where d = Matrix(:,column_2)

output:

d =

    2

   11

    7

   14

(e) All the elements in the first 2 rows (row 1 & 2)

Matlab command:

e = M([1,2],:)

% where e = Matrix([row_1,row_2],:)

output:

e =

   16     2     3    13

    5    11    10     8  

(f) All the elements in the last 2 columns (columns 3 & 4)

Matlab command:

f = M(:,[3,4])

% where f= Matrix(:,[column_3,column_4])

output:

f =  

    3    13

   10     8

    6    12

   15     1

(g) The elements 3 13 10 8

Matlab command:

g = [M(1,3) M(1,4); M(2,3) M(2,4)]

% where g = Matrix(row_1,column_3) M(row_1,column_4); M(row_2,column_3), M(row_2,column_4)

output:

g =

    3    13

   10     8

are there any graphs invested in this equation

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