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Diffstat (limited to 'Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.5.1')
| -rw-r--r-- | Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.5.1/Ex6.5_1.r | 18 |
1 files changed, 18 insertions, 0 deletions
diff --git a/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.5.1/Ex6.5_1.r b/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.5.1/Ex6.5_1.r new file mode 100644 index 00000000..e9a01511 --- /dev/null +++ b/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.5.1/Ex6.5_1.r @@ -0,0 +1,18 @@ +# Packages used : pracma
+# To install pracma,type following in command line while connected to internet
+# install.packages("pracma")
+# package can be included by command " library(pracma) "
+# for more information about pracma visit https://cran.r-project.org/web/packages/pracma/index.html
+
+# Example : 1 Chapter : 6.5 Page No: 344
+# Tests for positive definitenes
+library(pracma)
+A<-matrix(c(2,-1,0,-1,2,-1,0,-1,2),ncol=3)
+u<-lu(A)$U
+pivots<-c(u[1,1],u[2,2],u[3,3])
+upper_left_deteminants<-c(A[1,1],det(A[-3,-3]),det(A))
+eigenvalues<-eigen(A)$values
+print("All pivots, upper left determinants and eigen values are positive")
+print(pivots)
+print(upper_left_deteminants)
+print(eigenvalues)
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