Determine whether the matrix

5.B] Determine whether the matrix A = \begin{bmatrix} -1 & 7 \ 8 & -1 \end{bmatrix} is a linear combination of the matrices B_1 = \begin{bmatrix} 1 & 0 \ 2 & 1 \end{bmatrix},\quad B_2 = \begin{bmatrix} 2 & -3 \ 0 & 2 \end{bmatrix},\quad B_3 = \begin{bmatrix} 0 & 1 \ 2 & 0 \end{bmatrix}

Answer:

Determine whether the matrix <span class="wp-katex-eq" data-display="false"> A = \begin{bmatrix} -1 & 7 \ 8 & -1 \end{bmatrix} </span> is a linear combination of the matrices <span class="wp-katex-eq" data-display="false">B_1 = \begin{bmatrix} 1 & 0 \ 2 & 1 \end{bmatrix},\quad B_2 = \begin{bmatrix} 2 & -3 \ 0 & 2 \end{bmatrix},\quad B_3 = \begin{bmatrix} 0 & 1 \ 2 & 0 \end{bmatrix}</span>

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