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+#Example 3.5,Section III. Basis and Dimension,page 128
+#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
+A <- matrix(c(1,1,2,3,4,0,1,1,5),ncol = 3)
+#From any matrix, we can produce a basis for the row space by
+#performing Gauss's Method and taking the nonzero rows of the resulting echelon form matrix
+#simplifying to echelon form
+A <- rowadd(A,1,2,-1)
+A <- rowadd(A,1,3,-2)
+A <- rowadd(A,2,3,6)
+A
+#on simplification:produces the basis h(1 3 1); (0 1 0); (0 0 3)i for the row space. This is a basis
+#for the row space of both the starting and ending matrices, since the two row spaces are equal.
+\ No newline at end of file