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Second Section

2. Manipulating Vectors and Matrices

A matrix or an array is the basic element on which Matlab can operate. A 1-

by-1 matrix forms a scalar or a single number, whereas a matrix with only

one row or column forms a row or column vector respectively. This section

exhibits the mathematical manipulation of vectors (arrays) and of two-

dimensional matrices.

2.1 Row Vectors

A vector is a list of numbers separated by either space or commas. Each

different number/entry located in the vector is termed as either element or

component. The number of the vector elements/components determines the

h of the vector. In Matlab, square brackets “[ ]” are used to both define

a vector and a matrix. For instance, the following command returns a row

vector with 5 elements:

Matlab’s command:

>> y=[ 5 exp(2) sign(-5) sqrt(9) pi]

Matlab’s response:

y =

5 7.3891 -1 3 3.1416

Note that the definition of the row vector, the user it free to use any built-in

function as long as this is used properly. In the above definition,

p is the

exponential,

n returns the sign,

t is the square root and

i represents

p. General speaking and except some special cases, when a function is

applied to a 1-by-1 scalar, the result is a scalar, when applied to a row or

column vector is a row or column vector and when applied to a matrix the

output is again a matrix. This happens because Matlab applied the build-in

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MATLAB FINANCIAL DERIVATIVES TOOLBOX Bedienungsanleitung Seite 26