pdf("rpd2_9.pdf") A <- matrix(c(1,1,1,-1,0,1,-1,2,-1),byrow=T,ncol=3) y1 <- matrix(c(3,10,20),ncol=1) y2 <- matrix(c(6,14,21),ncol=1) x1 <- A %*% y1 x2 <- A %*% y2 lengthA <- sqrt(A %*% t(A)) Astar <- solve(lengthA) %*% A x1star <- Astar %*% y1 x2star <- Astar %*% y2 A y1 y2 lengthA Astar x1star x2star dev.off()