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+#Example 3.5,Section III. Basis and Dimension,page 130
+#package used matlib v0.9.1
+#install package using command: install.packages("matlib")
+#Github reposiory of matlib :https://github.com/friendly/matlib
+
+#installation and loading library
+#install.packages("matlib")
+library("matlib")
+
+#program
+#To get a basis for the span of {x^2 + x^4,2x^2 + 3x^4,-x^2 - 3x^4 } in the space row4
+A <- matrix(c(0,0,0,0,0,0,1,2,-1,0,0,0,1,3,-3),ncol = 5,nrow = 3)
+#applying gauss method
+A <- rowadd(A,1,2,-2)
+A <- rowadd(A,1,3,1)
+A <- rowadd(A,2,3,2)
+A
+#we get the basis (x^2 + x^4,x^4)
+\ No newline at end of file