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📰 Solution: The columns of $ \mathbf{M} $ are the images of the standard basis vectors. Thus, $ \mathbf{M} = \begin{bmatrix} 3 & 1 \\ -2 & 4 \end{bmatrix} $. Verification: 📰 \mathbf{M} \begin{bmatrix} 1 \\ 0 \end{bmatrix} = 3 \cdot \begin{bmatrix} 1 \\ 0 \end{bmatrix} + 1 \cdot \begin{bmatrix} 0 \\ 1 \end{bmatrix} = \begin{bmatrix} 3 \\ -2 \end{bmatrix}, \quad \mathbf{M} \begin{bmatrix} 0 \\ 1 \end{bmatrix} = 1 \cdot \begin{bmatrix} 1 \\ 0 \end{bmatrix} + 4 \cdot \begin{bmatrix} 0 \\ 1 \end{bmatrix} = \begin{bmatrix} 1 \\ 4 \end{bmatrix}. 📰 The matrix is $ \boxed{\begin{bmatrix} 3 & 1 \\ -2 & 4 \end{bmatrix}} $. 📰 American Horror Story New Season 1916181 📰 The Secret Liv Morgan Keeps Is He The Man Behind Her Fame 8069384 📰 Tropical Chic Nothis Black Fur Jacket Is The Trend Youre Searching For 4830455 📰 The Underwater Pac Man Frog Thats Taking Gaming Amphibian Worlds By Storm 8795369 📰 Calculator For Home Equity Line Of Credit 6994525 📰 Att Breach Settlement 7278006 📰 Register For Epic Games 7031783 📰 Relative Frequency Formula 5678782 📰 60 Inch Bathroom Vanity 4020067 📰 Structured To Succeed Heres The Day By Day Plan You Need To Win 1197044 📰 Cigarette Stocks 389637 📰 Apollo Hospital Indias Share Price Surge Shocks Investorsheres Why 4381387 📰 This Toyota Rav4 2024 Is Turning Wheel Turners Into Real Admirers Each Day 1213333 📰 Find Water 6102973 📰 Whas 10 Years Later 6632534