MATLAB FINANCIAL DERIVATIVES TOOLBOX Bedienungsanleitung PDF herunterladen (Seite 39)

It is obvious that the above matrix can be decomposed to either 2 row

vectors of 41

dimensions or to 4 column vectors of

. So, row and

column vectors are special cases of a two dimensional array (matrix).

If we let, 1

=a , 2

−=a , 2

=a , 5

=a , 4

=a ,

−=a and 1

=a , then the “A” matrix is reformed to:













−

−−

1422

3521

The subscripts in each element of the matrix denote the element’s position.

For instance, the position of

a is 2

row, 3

column. Matlab stores

matrices using this rational. Having in mind that a two dimensional array is

a composition of row vectors, we can use spaces (or commas) to define its

row vectors and semicolons to separate them. The above matrix can be

easily created as follows:

Matlab’s command:

>> A=[ 1 -2 5 -3; -2 2 4 1]

Matlab’s response:

A =

1 -2 5 -3

-2 2 4 1

Comments:

Creation of a 2-by-4 matrix.

To show that row and column vectors are special cases or a two dimensional

array (matrix) elaborate on the following examples:

Matlab’s command:

>> B=linspace(1, 4, 5); C=1:5; D=[-4:-1, NaN, Inf 1];

>> A1=[B; C], A2=[A1; A1], A3=[B -9 -5;D]

Matlab’s response:

A1 =

1.0000 1.7500 2.5000 3.2500 4.0000

1.0000 2.0000 3.0000 4.0000 5.0000

1 2 ... 34 35 36 37 38 39 40 41 42 43 44 ... 118 119

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