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Diffstat (limited to 'Linear_Algebra_by_Jim_Hefferon/CH2/EX1.6')
| -rw-r--r-- | Linear_Algebra_by_Jim_Hefferon/CH2/EX1.6/Ex2_1_6.R | 19 |
1 files changed, 19 insertions, 0 deletions
diff --git a/Linear_Algebra_by_Jim_Hefferon/CH2/EX1.6/Ex2_1_6.R b/Linear_Algebra_by_Jim_Hefferon/CH2/EX1.6/Ex2_1_6.R new file mode 100644 index 00000000..938d80aa --- /dev/null +++ b/Linear_Algebra_by_Jim_Hefferon/CH2/EX1.6/Ex2_1_6.R @@ -0,0 +1,19 @@ +#Chapter 2.
+#Section II. Linear Independence
+#Example 1.6,page 103
+#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
+#c1(40 15) + c2(-50 25) = (0 0),check if {(40 15),(-50 25)} is linearly independent
+A <- matrix(c(40,15,-50,25),ncol = 2)
+b <- c(0,0)
+Ab <- cbind(A,b)
+Ab <- rowadd(Ab,1,2,-15/40)
+Ab
+#from Ab,Both c1 and c2 are zero. So the only linear relationship between the two given row vectors is the trivial relationship.
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