Which of the following set is basis for the subspace \(W = \left\{ \begin{bmatrix} x & y \\\ 0 & t \end{bmatrix}: x + 2y + t = 0, y + t = 0 \right\}\)

1
\( \left\{ \begin{bmatrix} -1 & 1 \\\ 2 & -1 \end{bmatrix} \right\}\)
2
\( \left\{ \begin{bmatrix} 1 & -1 \\\ 0 & 1 \end{bmatrix} \right\}\)
3
\( \left\{ \begin{bmatrix} 1 & 0 \\\ 0 & 0 \end{bmatrix} \begin{bmatrix} 0 & 1 \\\ 0 & 0 \end{bmatrix} \begin{bmatrix} 0 & 0 \\\ 0 & 1 \end{bmatrix} \right\}\)
4
\( \left \{\begin{bmatrix} 2 & 1 \\\ 0 & -1 \end{bmatrix} \begin{bmatrix} 1 & -1 \\\ 0 & 1 \end{bmatrix}\right \}\)

Sponsored

hivanix.in

Visit

This quiz is brought to you by hivanix.in

🌐 Web App Development

Quick Navigation