SUBSPACES

Vector Space V ≡ M2x2 over R (Standard Operations), where M2x2 is the collection of 2x2 real matrices

Example I

(i) W = { ( a 0 0 b ) : a , b ∈ R} is a subspace of V.

CAUTION :

JUSTIFICATION :

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Example II

(ii) W = {2x2 real matrices with integer entries} is not a subspace of V.

CAUTION :

JUSTIFICATION :

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