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Diffstat (limited to 'Linear_Algebra_by_Jim_Hefferon/CH1/EX2.1')
-rw-r--r-- | Linear_Algebra_by_Jim_Hefferon/CH1/EX2.1/Ex1_2_1.R | 20 |
1 files changed, 20 insertions, 0 deletions
diff --git a/Linear_Algebra_by_Jim_Hefferon/CH1/EX2.1/Ex1_2_1.R b/Linear_Algebra_by_Jim_Hefferon/CH1/EX2.1/Ex1_2_1.R new file mode 100644 index 00000000..0e4eac30 --- /dev/null +++ b/Linear_Algebra_by_Jim_Hefferon/CH1/EX2.1/Ex1_2_1.R @@ -0,0 +1,20 @@ +#Example 2.1,chapter1,section 1.2,page 13
+#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(2,1,3,0,-1,-1,1,-1,0),ncol=3)
+b <- c(3,1,4)
+Ab <- cbind(A,b)
+Ab <- rowadd(Ab,1,2,-0.5)
+Ab <- rowadd(Ab,1,3,-1.5)
+Ab <- rowadd(Ab,2,3,-1)
+Ab
+#from the result we can see that the system doesnot have a unique solution.
+#We can represent the solution set by representing the variables that lead(x,y)by the variable that does not lead(z).
+#so solution set {((3/2)-(1/2)z,(1/2)-(3/2)z,z)|z belongs to R}
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