:)- Let A = and B = d Show that det(A + B) = det A + det B if and only if a + d = 0. %3D
:)- Let A = and B = d Show that det(A + B) = det A + det B if and only if a + d = 0. %3D
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
![:)-
Let A =
and B =
d
Show that det(A + B) = det A + det B if and only if a + d = 0.
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6d67868-a6aa-4581-8fca-9a8c61aa9b7f%2F94a882da-14ef-45e6-8255-667f5d4941b8%2Fww4v4q6.png&w=3840&q=75)
Transcribed Image Text::)-
Let A =
and B =
d
Show that det(A + B) = det A + det B if and only if a + d = 0.
%3D
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