Exercise7

Consider the vectors

\begin{equation*} \vvec_1 = \threevec{2}{3}{-1}, \vvec_2 = \threevec{-1}{2}{4}, \wvec_1 = \fourvec{3}{-1}{1}{0}, \wvec_2 = \fourvec{-2}{4}{0}{1} \end{equation*}

and suppose that \(A\) is a matrix such that \(\col(A)=\span{\vvec_1,\vvec_2}\) and \(\nul(A) = \span{\wvec_1,\wvec_2}\text{.}\)

  1. What are the dimensions of \(A\text{?}\)

  2. Find such a matrix \(A\text{.}\)

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