Question: In problem verify the foregoing result for the given matrix. Let P denote a matrix whose columns are eigenvectors K 1 , K 2 ,

In problem verify the foregoing result for the given matrix.

A = 1 1 2/


Let P denote a matrix whose columns are eigenvectors K1, K2, . . . , Kn corresponding to distinct eigenvalues λ1, λ2, . . . , λn of an n × n matrix A. Then it can be shown that A = PDP-1, where D is a diagonal matrix defined by

A = 1 1 2/

A = 1 1 2/

Step by Step Solution

3.35 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Det AAI is the characteristic det 1 1 x 2 So x y Hence Eigenvector Corresponding to ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (2 attachments)

PDF file Icon

1527_6092e13fb1837_848702.pdf

180 KBs PDF File

Word file Icon

1527_6092e13fb1837_848702.docx

120 KBs Word File

Students Have Also Explored These Related A First Course in Differential Equations Questions!