Let V be the vector space of all square sub-matrix over R. Examine whether or not W = (A: A E V, A² = A) is a subspace of V? Justify.

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Chapter2: Second-order Linear Odes
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Let V be the vector space of all square sub-matrix over R. Examine whether or not
w = (A: A E V, A² = A) is a subspace of V? Justify.
Transcribed Image Text:Let V be the vector space of all square sub-matrix over R. Examine whether or not w = (A: A E V, A² = A) is a subspace of V? Justify.
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