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Diffstat (limited to 'Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.4.1')
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diff --git a/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.4.1/Ex6.4_1.r b/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.4.1/Ex6.4_1.r new file mode 100644 index 00000000..9baefa7d --- /dev/null +++ b/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.4.1/Ex6.4_1.r @@ -0,0 +1,14 @@ +# Example : 1 Chapter : 6.4 Page No: 331
+# Eigen Values and Eigen vectors of A
+A<-matrix(c(1,2,2,4),ncol=2)
+lambda<-eigen(A)$values
+x<-eigen(A)$vectors #These are Normalised eigen vectors
+#to get eigen vectors in textbook
+x[,1]<-x[,1]*(1/x[1,1])
+x[,2]<-x[,2]*(2/x[1,2])
+print("Eigen values and eigen vectors of respective eigen values of A")
+print(lambda)
+print(x)
+#The answer may slightly vary due to rounding off values
+#The answers provided in the text book may vary because of the computation process
+#Both answers are correct , here it is taken -Ax+b=0 , In the text book it is considered as Ax-b=0
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