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Diffstat (limited to 'Linear_Algebra_by_Jim_Hefferon/CH5/EX2.4')
| -rw-r--r-- | Linear_Algebra_by_Jim_Hefferon/CH5/EX2.4/Ex5_2_4.R | 15 |
1 files changed, 15 insertions, 0 deletions
diff --git a/Linear_Algebra_by_Jim_Hefferon/CH5/EX2.4/Ex5_2_4.R b/Linear_Algebra_by_Jim_Hefferon/CH5/EX2.4/Ex5_2_4.R new file mode 100644 index 00000000..ed6d2f8a --- /dev/null +++ b/Linear_Algebra_by_Jim_Hefferon/CH5/EX2.4/Ex5_2_4.R @@ -0,0 +1,15 @@ +#Example 2.4,chapter 5,section IV.2,page 432
+#package used pracma v1.9.9
+#installing and loading library
+#install.packages("pracma")
+library("pracma")
+T <- matrix(c(2,1,-1,4),ncol=2)
+a <- eigen(T)
+a$values
+#so T has only the single eigenvalue 3.
+I <- matrix(c(1,0,0,1),ncol = 2)
+T-(3*I)
+# so for this,the only eigenvalue is 0 and T -3I is nilpotent.
+#to ease this computation we find nulspaces
+x <- nullspace(T)
+x
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