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| author | Prashant S | 2019-10-04 12:27:32 +0530 |
|---|---|---|
| committer | GitHub | 2019-10-04 12:27:32 +0530 |
| commit | ac2986488a9731cff5cbb517d8f0ef98e2561d64 (patch) | |
| tree | 7bb3f64824627ef179d5f341266a664fd0b69011 /Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.1.1 | |
| parent | cbb2770fb2f88246175add29623103a56ba338b8 (diff) | |
| parent | b3f3a8ecd454359a2e992161844f2fb599f8238a (diff) | |
| download | R_TBC_Uploads-master.tar.gz R_TBC_Uploads-master.tar.bz2 R_TBC_Uploads-master.zip | |
Added R TBC
Diffstat (limited to 'Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.1.1')
| -rw-r--r-- | Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.1.1/Ex6.1_1.r | 19 |
1 files changed, 19 insertions, 0 deletions
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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