Question: Applied Linear Algebra (Q1) (7 points) Consider the following given data: m 1 2 2 4 4 y 3 2 1 1 0 We like

Applied Linear Algebra

(Q1) (7 points) Consider the following given data: m 1 2 2 4 4 y 3 2 1 1 0 We like to t the data set With a line Whose equation is of the form y : ax + 5. (a) Write down the linear system AZ % b that we need to nd an approximate solution in order to nd the besttting line y : ax + 6. Give the matrix A and the vectors 2 and b (b) Find the besttting line y : ax+ for this data using the method of orthogonal projections learned in class. (c) Find [3, the closest vector to b such that AZ : 13 has a solution, and calculate ||b b||

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