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diff --git a/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.2.1/Ex6.2_1.r b/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.2.1/Ex6.2_1.r new file mode 100644 index 00000000..42b08fae --- /dev/null +++ b/Introduction_To_Linear_Algebra_by_Gilbert_Strang/CH6/EX6.2.1/Ex6.2_1.r @@ -0,0 +1,20 @@ +# Example : 1 Chapter : 6.2 Page No: 299
+# Diagonilizing a Matrix and Power of matrix computed from power of its diagonal matrix
+A<-matrix(c(1,0,5,6),ncol=2)
+lambda<-eigen(A)$values
+S<-eigen(A)$vectors
+S<-round(S)
+S1<-solve(S)
+Diag_matrix<-round(S1%*%A%*%S)
+print("Diagonal Matrix is ")
+print(Diag_matrix)
+A2<-A%*%A
+print("The square of matrix")
+print(A2)
+print("The Power of matrix can also be computed from its diagonal matrix as follows")
+A2_diag<-S%*%Diag_matrix%*%Diag_matrix%*%S1
+print("The square of matrix computed from its diagonal matrix")
+print(A2_diag)
+#The answer may slightly vary due to rounding off values
+#The answers provided in the text book may vary because of the computation process
+#Both answers are correct , here it is taken -Ax+b=0 , In the text book it is considered as Ax-b=0
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