Matrices

Una matriz \(A\) es un conjunto de vectores filas y vectores columnas la cual tiene una dimesión o tamaño de acuerdo al número de filas y número de columnas. \[n\times m\] \[A=(a_{ij})_{n \times m}\] \[\begin{equation} A=\begin{pmatrix} 2 & 5 & 0\\ 7 & 3 & 8\\ 3 & 0 & 1 \end{pmatrix}_{3 \times 3} \end{equation}\]

A<-matrix(c(2,5,0,7,3,8,3,0,1),nrow=3,ncol=3,byrow=TRUE)
A
##      [,1] [,2] [,3]
## [1,]    2    5    0
## [2,]    7    3    8
## [3,]    3    0    1

\[\begin{equation} B=\begin{pmatrix} 1 & 2 & 3\\ 7 & 3 & -1\\ 3 & -2 & 1 \end{pmatrix}_{3 \times 3} \end{equation}\]

B<-matrix(c(1,2,3,7,3,-1,3,-2,1),nrow=3,ncol=3,byrow=TRUE)
B
##      [,1] [,2] [,3]
## [1,]    1    2    3
## [2,]    7    3   -1
## [3,]    3   -2    1

Suma de matrices

Las suma se realiza componente a componente de matrices cuadradas \[A+B=\begin{equation} \begin{pmatrix} 2 & 5 & 0\\ 7 & 3 & 8\\ 3 & 0 & 1 \end{pmatrix}_{3 \times 3} + \begin{pmatrix} 1 & 2 & 3\\ 7 & 3 & -1\\ 3 & -2 & 1 \end{pmatrix}_{3 \times 3} \end{equation}\]

A+B
##      [,1] [,2] [,3]
## [1,]    3    7    3
## [2,]   14    6    7
## [3,]    6   -2    2

Including Plots

You can also embed plots, for example:

Note that the echo = FALSE parameter was added to the code chunk to prevent printing of the R code that generated the plot.