144. Suppose $A = \begin{bmatrix} 1 & -1 \\ 2 & 1 \\ 3 & 1 \end{bmatrix}$. If $BA^T A = 52I$, what is the maximum value of the entries of matrix $B$? (1) $14$ (2) $18$ (3) $24$ (4) $28$
\textbf{144.} Suppose $A = \begin{bmatrix} 1 & -1 \\ 2 & 1 \\ 3 & 1 \end{bmatrix}$. If $BA^T A = 52I$, what is the maximum value of the entries of matrix $B$?
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(1) $14$ \hfill (2) $18$ \hfill (3) $24$ \hfill (4) $28$
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