2. Consider the vector space M. [:] a b (a) Show that the set of all matrices of the form where a – b = 0, is a subspace. 0 0 (b) Show that the set of all 2 x 2 singular matrices, i.e., matrices that are not invertible, is NOT a subspace.

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ISBN:9780470458365
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Linear Algebra

2. Consider the vector space M.
a b
(a) Show that the set of all matrices of the form
where a – b = 0, is a subspace.
0 0
(b) Show that the set of all 2 x 2 singular matrices, i.e., matrices that are not invertible, is NOT a
subspace.
Transcribed Image Text:2. Consider the vector space M. a b (a) Show that the set of all matrices of the form where a – b = 0, is a subspace. 0 0 (b) Show that the set of all 2 x 2 singular matrices, i.e., matrices that are not invertible, is NOT a subspace.
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