Explaining Why a Set Is Not a Basis In

Chapter 4, Problem 32

(choose chapter or problem)

In Exercises 31–34, explain why S is not a basis for \(M_{2,2}\).

\(S=\left\{\left[\begin{array}{ll} 1 & 1 \\ 0 & 0 \end{array}\right],\left[\begin{array}{ll} 0 & 1 \\ 1 & 0 \end{array}\right],\left[\begin{array}{rr} -1 & 0 \\ 1 & 0 \end{array}\right],\left[\begin{array}{ll} 0 & 0 \\ 0 & 1 \end{array}\right]\right\}\)

Text Transcription:

S={[ 1 & 1 \\ 0 & 0 ],[ 0 & 1 \\ 1 & 0 ],[ -1 & 0 \\ 1 & 0 ],[ 0 & 0 \\ 0 & 1 ]}

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