Let H = {A € R³×3 | A is not invertible}. Show that H is not a subspace of the vector space IR³×3. Note that it suffices to give one concrete example that violates one of the properties of a subspace.
Let H = {A € R³×3 | A is not invertible}. Show that H is not a subspace of the vector space IR³×3. Note that it suffices to give one concrete example that violates one of the properties of 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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Let H = {A ∈R3×3 | A is not invertible}. Show that H is not a subspace of
the
one of the properties of a subspace.
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