Determining Whether a Set Is a Basis In Exercises 51and 52, determine whether S is a

Chapter 4, Problem 51

(choose chapter or problem)

In Exercises 51 and 52, determine whether S is a basis for \(M_{2,2}\).

\(S=\left\{\left[\begin{array}{ll} 2 & 0 \\ 0 & 3 \end{array}\right],\left[\begin{array}{ll} 1 & 4 \\ 0 & 1 \end{array}\right],\left[\begin{array}{ll} 0 & 1 \\ 3 & 2 \end{array}\right],\left[\begin{array}{ll} 0 & 1 \\ 2 & 0 \end{array}\right]\right\}\)

Text Transcription:

S={[ 2 & 0 \\ 0 & 3 ],[ 1 & 4 \\ 0 & 1 ],[ 0 & 1 \\ 3 & 2 ],[ 0 & 1 \\ 2 & 0 ]}