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+# Packages used : pracma
+# To install pracma,type following in command line while connected to internet
+# install.packages("pracma")
+# package can be included by command " library(pracma) "
+# for more information about pracma visit https://cran.r-project.org/web/packages/pracma/index.html
+
+# Example : 1 Chapter : 3.5 Page No: 170
+# Columns of given matrix are dependent
+library(pracma)
+A<-matrix(c(1,2,1,0,1,0,3,5,3),nrow=3)
+if(Rank(A)!=ncol(A)){
+ print("The columns of A are dependent")
+}
+print("As the columns of A are dependent ,there is a nonzero solution to Ax=0")
+x<-matrix(c(-3,1,1),ncol=1)
+print(A%*%x)