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Diffstat (limited to 'Linear_Algebra_by_Jim_Hefferon/CH2/EX3.2')
-rw-r--r-- | Linear_Algebra_by_Jim_Hefferon/CH2/EX3.2/Ex2_3_2.R | 18 |
1 files changed, 18 insertions, 0 deletions
diff --git a/Linear_Algebra_by_Jim_Hefferon/CH2/EX3.2/Ex2_3_2.R b/Linear_Algebra_by_Jim_Hefferon/CH2/EX3.2/Ex2_3_2.R new file mode 100644 index 00000000..be64a7ba --- /dev/null +++ b/Linear_Algebra_by_Jim_Hefferon/CH2/EX3.2/Ex2_3_2.R @@ -0,0 +1,18 @@ +#Example 3.2,Section III. Basis and Dimension,page 127
+#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(2,4,3,6),ncol = 2)
+#Rowspace(A) is this subspace of the space of two-component row vectors
+#{c1.(2 3) + c2.(4 6) | c1,c2 belongs to R}
+#simplifying A
+A <- rowadd(A,1,2,-2)
+A
+#From the simplified matrix,the second row vector is linearly dependent on the first and so we can simplify the above description to
+#{c.(2 3)|c belongs to R}
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