0 0 -212 0 5 (3.08, 3.12) Consider the symmetric matrix A = 0 1 (a) Find the trace and determinant of A. Do not use a calculator, show your work. (b) Diagonalize A as QAQ". (c) Express A as a sum of rank one matrices using the part above.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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23.6 (3.08, 3.12) Consider the symmetric matrix A =
0 0
0 0 1
-21 2
(a) Find the trace and determinant of A. Do not use a calculator, show your work.
(b) Diagonalize A as QAQT.
(c) Express A as a sum of rank one matrices using the part above.
Transcribed Image Text:23.6 (3.08, 3.12) Consider the symmetric matrix A = 0 0 0 0 1 -21 2 (a) Find the trace and determinant of A. Do not use a calculator, show your work. (b) Diagonalize A as QAQT. (c) Express A as a sum of rank one matrices using the part above.
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