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(b) Repeat part (a) with the matrix -6 -8 10 1 -5 -1 -5 -4 9 B = You may use the fact that the characteristic polynomial of B is CB(x) = (x+3)²(x-4).

(b) Repeat part (a) with the matrix -6 -8 10 1 -5 -1 -5 -4 9 B = You may use the fact that the characteristic polynomial of B is CB(x) = (x+3)²(x-4).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Just answer B question

(a) Decide whether the matrix A = -1 B = 2 6 -4 2 -3 3 is diagonalizable, and diagonalize it if so. Justify your answer fully. You may use the fact that the characteristic polynomial of A is CA(x) = (x+3)²(x-4). (b) Repeat part (a) with the matrix -6-8 10 -5 -1 1 -5 -4 9 You may use the fact that the characteristic polynomial of B is CB(2)=−(2+3)2(2–4).
Transcribed Image Text:(a) Decide whether the matrix A = -1 B = 2 6 -4 2 -3 3 is diagonalizable, and diagonalize it if so. Justify your answer fully. You may use the fact that the characteristic polynomial of A is CA(x) = (x+3)²(x-4). (b) Repeat part (a) with the matrix -6-8 10 -5 -1 1 -5 -4 9 You may use the fact that the characteristic polynomial of B is CB(2)=−(2+3)2(2–4).
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