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Home » Thus, there is **no** three-digit number divisible by 7, 11, and 13. - Databee Business Systems

Thus, there is no three-digit number divisible by 7, 11, and 13. - Databee Business Systems

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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x + 12 = 0 \Rightarrow x = \boxed{-12}
Question: Find the matrix $\mathbf{M}$ such that
\mathbf{M} \begin{pmatrix} 1 \\ 2 \end{pmatrix} = \begin{pmatrix} 3 \\...
Let
\mathbf{M} = \begin{pmatrix} a & b \\ c & d \end{pmatrix}
Apply the first condition:
\begin{pmatrix} a & b \\ c & d \end{pmatrix} \begin{pmatrix} 1 \\ 2 \e...
\Rightarrow a + 2b = 3, \quad c + 2d = 4
Apply the second condition:
\begin{pmatrix} a & b \\ c & d \end{pmatrix} \begin{pmatrix} 0 \\ 1 \e...

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