Question

Summer Assignment 6: Problem 13 Previous Problem List Next (1 point) -4748) Let A = 1 -4243 Find an invertible matrix P and a diagonal matrix D such that PDP-1 = A. 90 Preview My Answers Submit Answers You have attempted this problem 7 times.

Answer 1

-47 48 AF 4 2 43 T chapGG teni's -tic equ? i's det (A -97)0 - 47- 43 43-9 - 4 2 » (-47-9) (43-2)-4243)= 0 - 20 2147-439 2016 O - 7252-2-5 02(a5)- 1 (A5)0 eter algebnc 1 and A5 with ageb Fe egen a luy muitiplaty are - witA 1 mu Now the eigen Sfece for / (A-1.1)x O (H 47 48 43 - 4 2 -48 4 8 4 2 4 2 -48 1 48 2 42 2 - 42 THH

Now the eigen sfare for a-5 (A5) 443 4 2 4 3 - 42 48 - 4 8 4 2 - 42 +42 C T:].4[% Con ider the ee tor 3/1 He invertible Ha taix ene Conseden te diogenal Ho oi - 4%4 | Now, pD O - 5 - 4 ESL .4 and AP - 42 43 tene. PD AP PDPA fenally 2 e the ma We PDPT A 8/7 whe ne P D
Raed Carefully.