Solved: Subsets That Are Not Subspaces In Exercises 720, W is not a subspace of the
Chapter 4, Problem 15(choose chapter or problem)
In Exercises 7–20, W is not a subspace of the vector space. Verify this by giving a specific example that violates the test for a vector subspace (Theorem 4.5).
W is the set of all matrices in \(M_{3,3}\) of the form
\(\left[\begin{array}{lll} 1 & a & b \\ c & 1 & d \\ e & f & 0 \end{array}\right]\)
Text Transcription:
M_3,3
[1 & a & b \\ c & 1 & d \\ e & f & 0]
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