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Diffstat (limited to 'Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.3.1')
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diff --git a/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.3.1/Ex6.3_1.r b/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.3.1/Ex6.3_1.r new file mode 100644 index 00000000..72bb740f --- /dev/null +++ b/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.3.1/Ex6.3_1.r @@ -0,0 +1,22 @@ +# Example : 1 Chapter : 6.3 Page No: 313
+# Solve Differential equation
+
+# lambda1,lamda2,x1,x2,c,d are computed here.. for remaining details look textbook
+A<-matrix(c(0,1,1,0),ncol=2)
+lambda<-eigen(A)$values
+x<-eigen(A)$vectors #These are normalised eigen vectors
+#to get eigen vectors in textbook .. Multiply them with the scalars
+x[,1]<-x[,1]*(1/x[1,1])
+x[,2]<-x[,2]*(1/x[1,2])
+print(x)
+u<-c(4,2)
+cd<-solve(x,u)
+C<-cd[1]
+D<-cd[2]
+print("Lambda 1 and Lambda 2")
+print(lambda)
+print("x1 and x2")
+print(x)
+print("C and D are")
+print(C)
+print(D)
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