Please check if my steps and answer are correct. The prompt is to diagonalize the matrix  12 -21 10 -17

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 16E
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Please check if my steps and answer are correct.

The prompt is to diagonalize the matrix 

12 -21
10 -17
F12 -217 12-7 -21 g
L1o T 10 -17-2
[15-2
10 44
10 14-fOR LO O
^2=-2
3.
2.
LO -15
1015HOR, OO
12 -21
2-3
7 3
52
52
-23
6-9
0-2
12.
10 1기
5-구
Lio 14
Transcribed Image Text:F12 -217 12-7 -21 g L1o T 10 -17-2 [15-2 10 44 10 14-fOR LO O ^2=-2 3. 2. LO -15 1015HOR, OO 12 -21 2-3 7 3 52 52 -23 6-9 0-2 12. 10 1기 5-구 Lio 14
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