Q1 Let A be the 2 x 2 matrix a11 a21 a12 a22 where a11, a12, a21, a22 € R. Show that if a12@21 > 0, then A has two distinct real eigenvalues.

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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Q1
Let A be the 2 x 2 matrix
all
a12
a21 a22
where a11, a12, a21, a22 € R.
Show that if a12021 > 0, then A has two distinct real eigenvalues.
Transcribed Image Text:Q1 Let A be the 2 x 2 matrix all a12 a21 a22 where a11, a12, a21, a22 € R. Show that if a12021 > 0, then A has two distinct real eigenvalues.
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