Question: 4. (a) Find the unit vector u (having positive sign for its first entry ) that is or- 1 1 thogonal to the columns in

 4. (a) Find the unit vector u (having positive sign for

4. (a) Find the unit vector u (having positive sign for its first entry ) that is or- 1 1 thogonal to the columns in 0 1 Hence or otherwise, find a symmetric 1 1 matrix A whose top left entry is 2 and whose nullspace is of dimension 1 in the direction of u, i.e., Au = 0

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