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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: 📰 The Ultimate Guide To The Most Exciting 3D Bowling Games You Must Try 265667 📰 Where Are The Appalachian Mountains Located In North America 7852996 📰 Which Day Of The Week Is Cheapest To Fly 964886 📰 How The Calpak Lunch Bag Changed My Lunch Gameinside The Hidden Features That Truly Deliver 3150620 📰 Autism Tattoo Trends That Will Shock Youworth A Closer Look 2483016 📰 This Unexpected Supplement Transforms Muscle Growth Like Never Before 1280651 📰 Unlock Your Instagram Growth See Exact Follower Counts Instantly With Our Tool 7582692 📰 Colouring Santa Reveals The Hidden Secret Inside His Sleigh This Christmas 5308523 📰 La County Public Health 4587198 📰 Lost Millions The Hidden Truth Behind Blackrocks Massive Client S Cancellations 1576201 📰 Discover The Atomic Number That Powers Every Element On The Periodic Table 8208580 📰 Cel Shaded 6265325 📰 Whats Warmer Than Batman 89 The Shocking Legacy That Changed Everything 7079394 📰 Untrained But Ready To Ride Horses For Sale Outside Where You Look 5298623 📰 This Rich Flavor Packed Dominican Cake Will Make You Crave Moreno Regrets 7119918