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📰 Solution: The transformation swaps components and negates one. The standard matrix is $ egin{pmatrix} 0 & -1 \ 1 & 0 \end{pmatrix} $. oxed{egin{pmatrix} 0 & -1 \ 1 & 0 \end{pmatrix}} 📰 Question: Find the point on the line $ y = 2x + 1 $ closest to $ (3, 4) $. 📰 Solution: The closest point minimizes distance. Parametrize the line as $ (t, 2t + 1) $. The squared distance to $ (3, 4) $ is $ (t - 3)^2 + (2t + 1 - 4)^2 = (t - 3)^2 + (2t - 3)^2 $. Differentiate: $ 2(t - 3) + 8t - 12 = 0 \Rightarrow 10t - 18 = 0 \Rightarrow t = 1.8 $. Substituting, the point is $ (1.8, 4.6) $. oxed{(1.8,\ 4.6)} 📰 Best Travel Insurance For Overseas Travel 6470510 📰 Meximodo 4291053 📰 Your Scoutbook Login Approach Will Shock Youinside This Hidden Formula 5125392 📰 The Hub Disney The Ultimate Guide To Never Miss A Single Magical Moment 5140691 📰 Register Wells Fargo Online Banking 7504465 📰 Gifts For Trip 7432994 📰 This Upmc Payment Mistake Could Earn You Thousandsfind Out How 3827984 📰 Eden Utah The Secret Paradise You Need To Visit Before Its Gone 2428911 📰 Fuller St 4139571 📰 Jarbidge Nevada 2384468 📰 Guess What Curly Cuts Fr Herren Are Taking Over Summer Styles 184868 📰 Top And Bottom 2Pi R2 Approx 2Pi Cdot 0150 Approx 0942 M 6839288 📰 Unlock The Truth World Journal In Chinese Exposes Hidden Global Mysteries 7958720 📰 The Forbes Winning Starters That Every Pokemon Fan Must Know Before Level Up Season 4003778 📰 Playback App 9309085