1. Consider three points in R: (3, 5), (-1, 1), and (1, 0). (a) Set up...

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1. Consider three points in R²: (3, 5), (-1, 1), and (1, 0). (a) Set up a system of equations Ax passing through all three points. (b) Show the linear system Ax = b has no solution. (c) Find a least-squares solution of Ax = b by first finding the normal equations for x and then solving for x. - b to determine if there is a line y = mx + b (d) Use your least-squares solution ✰ to find the line closest to passing through all three points. 1. Consider three points in R²: (3, 5), (-1, 1), and (1, 0). (a) Set up a system of equations Ax passing through all three points. (b) Show the linear system Ax = b has no solution. (c) Find a least-squares solution of Ax = b by first finding the normal equations for x and then solving for x. - b to determine if there is a line y = mx + b (d) Use your least-squares solution ✰ to find the line closest to passing through all three points.