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Diffstat (limited to 'Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.1.1')
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diff --git a/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.1.1/Ex6.1_1.r b/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.1.1/Ex6.1_1.r new file mode 100644 index 00000000..bb43e3c8 --- /dev/null +++ b/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.1.1/Ex6.1_1.r @@ -0,0 +1,19 @@ +# Example : 1 Chapter : 6.1 Page No: 284
+# Eigen values and eigen vectors
+A<-matrix(c(0.8,0.2,0.3,0.7),ncol=2)
+sol<-eigen(A)
+lambda<-sol$values
+x<-sol$vectors
+print("The eigen values of the matrix are")
+print(lambda)
+print("The eigen vectors of the matrix in normalised form are")
+print(x)
+#to get eigen vectors in the textbook multiply normalised vectors by scalars
+x[,1]<-x[,1]*(0.6/x[1,1])
+x[,2]<-x[,2]*(1/x[1,2])
+print("Eigen vectors with respect to the above eigen values respectively are")
+print(x)
+print(A%*%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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