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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/CH2/EX3.5 | |
| 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/CH2/EX3.5')
| -rw-r--r-- | Linear_Algebra_by_Jim_Hefferon/CH2/EX3.5/Ex2_3_5.R | 20 |
1 files changed, 20 insertions, 0 deletions
diff --git a/Linear_Algebra_by_Jim_Hefferon/CH2/EX3.5/Ex2_3_5.R b/Linear_Algebra_by_Jim_Hefferon/CH2/EX3.5/Ex2_3_5.R new file mode 100644 index 00000000..1344c076 --- /dev/null +++ b/Linear_Algebra_by_Jim_Hefferon/CH2/EX3.5/Ex2_3_5.R @@ -0,0 +1,20 @@ +#Example 3.5,Section III. Basis and Dimension,page 128
+#package used matlib v0.9.1
+#install package using command: install.packages("matlib")
+#Github reposiory of matlib :https://github.com/friendly/matlib
+
+#installation and loading library
+#install.packages("matlib")
+library("matlib")
+
+#program
+A <- matrix(c(1,1,2,3,4,0,1,1,5),ncol = 3)
+#From any matrix, we can produce a basis for the row space by
+#performing Gauss's Method and taking the nonzero rows of the resulting echelon form matrix
+#simplifying to echelon form
+A <- rowadd(A,1,2,-1)
+A <- rowadd(A,1,3,-2)
+A <- rowadd(A,2,3,6)
+A
+#on simplification:produces the basis h(1 3 1); (0 1 0); (0 0 3)i for the row space. This is a basis
+#for the row space of both the starting and ending matrices, since the two row spaces are equal.
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