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📰 Thus, $ \boxed{\begin{bmatrix} 1 & -1 \\ 1 & 1 \end{bmatrix}} $. 📰 Question: Planetary exploration engineers use a matrix $ \mathbf{M} $ to transform satellite coordinates. If $ \mathbf{M} \begin{bmatrix} 1 \\ 0 \end{bmatrix} = \begin{bmatrix} 3 \\ -2 \end{bmatrix} $ and $ \mathbf{M} \begin{bmatrix} 0 \\ 1 \end{bmatrix} = \begin{bmatrix} 1 \\ 4 \end{bmatrix} $, find $ \mathbf{M} $. 📰 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: 📰 Heisman Winning 6917175 📰 Is Fidelity Vom The Secret To Unmatched Emotional Security Find Out Now 1428694 📰 Daily Look Reviews The Clean Honest Photos That Inspire Your Living Room Wardrobe 4030698 📰 You Deserve Peace And These Hidden Gems Are Your Ticket To Unmatched U Relaxationwin 816856 📰 Discover Your Next Favorite Pastime Color Your Way Through Amazing Coloring Book Games 8255684 📰 Dim Screen Download 3147398 📰 1994 Northridge Earthquake 7963982 📰 Crnt Shocked Yahoo Finance Readersthis Stock Could Double In A Week Find Out Why 4910811 📰 Gbp England 1624823 📰 Sherri Hill Shocked The Internetthis Hidden Star Just Exploded In Popularity 5163661 📰 Window Fax And Scan Like A Prosee Savings Supercharge Your Workflow Today 8380228 📰 A Car Depreciates In Value By 15 Per Year If It Was Bought For 25000 What Will Its Value Be After 3 Years 2387185 📰 Defiance Edward Zwick 2254898 📰 Life Online Game Free 3808857 📰 This Explosivesurge In Spxx Stock Will Blow Your Mindheres Whats Really Driving Its Rise 3451319