Question: a. 1 0 3 Let A = N 2 Find an orthonormal basis of the column space of A. Orthonormal basis for C(A): { Enter

1 0 3 Let A = N 2 Find an orthonormal basis of the column space of A. Orthonormal basis for C(A): { Enter your answers as a coordinate vector, such as , or a comma separated list of coordinate vectors, such as , .Let V be the plane in R3 given by the equation: 2:c y z = 0 4 Find the closest point on V to the vector; 2 8 . 2 closest point: C] A plane in R can by given by an equation z = c1 + c2x + c3y. We will use Least Squares to find the best-fit plane to the points: (0, -1, 2) , (0, 1, 0) , (-1, -1, -2) , (-3, -3, -3) Step 1. Plug the points into this formula z = c1 + c2x + czy to get a matrix equation Ac = Z. C1 C2 C3 Step 2. The matrix equation Ac = z has no solution, so we find the least squares approximate solution to ATA c = ATz. C = Step 3. Use this solution to give the equation for the best-fit plane: 2 =

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