Determine whether the given subset W is a subspace or not of the given vector space. (a) Let A € M„(C). The subset W = {X € M„(C) | AX + XT A = 0} of Mn(C) а b (b) The set W of all 2-by-2 matrices in M2(R) of the form A = с 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Determine whether the given subset W is a subspace or not of the given vector space.
(a) Let A E Mn(C). The subset W = {X e M„(C) | AX + XTA = 0} of M,(C)
%3D
a b
(b) The set W of all 2-by-2 matrices in M2(R) of the form A =
C
Transcribed Image Text:2. Determine whether the given subset W is a subspace or not of the given vector space. (a) Let A E Mn(C). The subset W = {X e M„(C) | AX + XTA = 0} of M,(C) %3D a b (b) The set W of all 2-by-2 matrices in M2(R) of the form A = C
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