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Diffstat (limited to 'Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.1.2')
| -rw-r--r-- | Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.1.2/Ex6.1_2.r | 13 |
1 files changed, 13 insertions, 0 deletions
diff --git a/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.1.2/Ex6.1_2.r b/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.1.2/Ex6.1_2.r new file mode 100644 index 00000000..369a5e47 --- /dev/null +++ b/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.1.2/Ex6.1_2.r @@ -0,0 +1,13 @@ +# Example : 2 Chapter : 6.1 Page No: 285
+# Eigen values and eigen vectors of Projection matrix
+A<-matrix(c(0.5,0.5,0.5,0.5),ncol=2)
+sol<-eigen(A)
+lambda<-sol$values
+x<-sol$vectors #These are normalised eigen vectors
+#to get eigen vectors in text book multiply them with scalars
+x[,1]<-x[,1]*(1/x[1,1])
+x[,2]<-x[,2]*(1/x[1,2])
+print("The eigen values of the matrix are")
+print(lambda)
+print("The eigen vectors of the matrix are")
+print(x)
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