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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 /Linear_Algebra_by_Jim_Hefferon/CH5/EX2.10 | |
| 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 'Linear_Algebra_by_Jim_Hefferon/CH5/EX2.10')
| -rw-r--r-- | Linear_Algebra_by_Jim_Hefferon/CH5/EX2.10/Ex5_2_10.R | 16 |
1 files changed, 16 insertions, 0 deletions
diff --git a/Linear_Algebra_by_Jim_Hefferon/CH5/EX2.10/Ex5_2_10.R b/Linear_Algebra_by_Jim_Hefferon/CH5/EX2.10/Ex5_2_10.R new file mode 100644 index 00000000..63487d6c --- /dev/null +++ b/Linear_Algebra_by_Jim_Hefferon/CH5/EX2.10/Ex5_2_10.R @@ -0,0 +1,16 @@ +#Example 2.10,chapter 5,scetion III.2,page 414
+#package used matlib v0.9.1
+#Github reposiory of matlib :https://github.com/friendly/matlib
+
+#installation and loading library
+#install.packages("matlib")
+library("matlib")
+N <- matrix(c(0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0),ncol=4)
+P <- matrix(c(1,0,1,0,0,2,1,0,1,1,1,0,0,0,0,1),ncol = 4)
+A <- P %*% N %*% Inverse(P)
+A
+#The new matrix,A is nilpotent; its fourth power is the zero matrix.
+x <- P %*% N^4 %*% Inverse(P)
+#since (PNP^-1)^4 = P * N^4 *P^-1
+y <- det(x)
+all.equal(y,0)
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