Question

Let A = [1 5 ; 3 1 ; 2 -4] and b = [1 ;...

Let A = [1 5 ; 3 1 ; 2 -4] and b = [1 ; 0 ; 3] (where semicolons represent a new row)

Is equation Ax=b consistent?

Let b(hat) be the orthogonal projection of b onto Col(A). Find b(hat).

Let x(hat) the least square solution of Ax=b. Use the formula x(hat) = (A^(T)A)^(−1) A^(T)b to compute x(hat). (A^(T) is A transpose)

Verify that x(hat) is the solution of Ax=b(hat).

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