Creación de matrices

Matriz y

#Generación de la matriz y
matriz_y<-(matrix(data = c(20,30,36,24,40),
                 nrow = 5,
                 ncol = 1,
                 byrow = TRUE))
colnames (matriz_y)<-c("y")
print(matriz_y)
##       y
## [1,] 20
## [2,] 30
## [3,] 36
## [4,] 24
## [5,] 40

Matrix X

matriz_x<-cbind(rep(1,5),matrix(data = c(4,10,3,8,6,11,4,9,8,12),nrow = 5,ncol = 2,byrow = TRUE))
colnames(matriz_x)<-c("Cte", "x1","x2")
print(matriz_x)
##      Cte x1 x2
## [1,]   1  4 10
## [2,]   1  3  8
## [3,]   1  6 11
## [4,]   1  4  9
## [5,]   1  8 12

producto de Matrices Cálculo de X’X (sigma matriz)

matriz_XX<-t(matriz_x)%*%matriz_x
print(matriz_XX)
##     Cte  x1  x2
## Cte   5  25  50
## x1   25 141 262
## x2   50 262 510
sigma_matriz<-function(matriz){t(matriz)%*%matriz}
matriz_XX2<-sigma_matriz(matriz_x)
print(matriz_XX2)
##     Cte  x1  x2
## Cte   5  25  50
## x1   25 141 262
## x2   50 262 510

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