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.
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.
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

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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