2. Find the characteristic polynomial PÂ(t) of the matrix A given below, where a, μ € C. α 0 1 0 0 0 a 0 0 0 0 a 0 0 0 A = 0 000μl 00 00 0 1 μ0 00 0 1 01 Find B and C such that C' is an invertible matrix, B = (bij) is a lower triangular matrix with b4,4 = 1, and that B = C-¹AC.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. Find the characteristic polynomial P₁(t) of the matrix A given below, where a, μ € C.
a 0
10 0 0
0
α
00 0 0
0
α
0 0 0
A =
0
0
0
0
0
0
1
μ 0
0
0 0 1 0 1
Find B and C such that C is an invertible matrix, B = (bij) is a lower triangular matrix with b4,4 = 1,
and that
B = C-¹AC.
Transcribed Image Text:2. Find the characteristic polynomial P₁(t) of the matrix A given below, where a, μ € C. a 0 10 0 0 0 α 00 0 0 0 α 0 0 0 A = 0 0 0 0 0 0 1 μ 0 0 0 0 1 0 1 Find B and C such that C is an invertible matrix, B = (bij) is a lower triangular matrix with b4,4 = 1, and that B = C-¹AC.
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