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Diffstat (limited to 'Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.6.1')
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diff --git a/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.6.1/Ex6.6_1.r b/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.6.1/Ex6.6_1.r new file mode 100644 index 00000000..f385fe21 --- /dev/null +++ b/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.6.1/Ex6.6_1.r @@ -0,0 +1,17 @@ +# Example : 1 Chapter : 6.6 Page No: 356 +# Similar matrices are matrices with same eigen values +A<-matrix(c(0.5,0.5,0.5,0.5),ncol=2) +Aev<-eigen(A)$values +print("Eigen values of A ") +print(Aev) +Lambda<-matrix(c(1,0,0,0),ncol=2) +Lev<-eigen(Lambda)$values +print("eigen values of lambda matrix") +print(Lev) +M<-matrix(c(1,1,0,2),ncol=2) +M1<-solve(M) +M1AM<-M1%*%A%*%M +M1AMev<-eigen(M1AM)$values +print("EIgen values of M-1*A*M") +print(M1AMev) +print("A and M-1*A*M are similar matrices")
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