Question: 7. Problem 3.4.6. Find a third column so that the matrix 1/3 1/14 2/14 1/3 -3/14 Q=1/3 is orthogonal. It must be a unit

7. Problem 3.4.6. Find a third column so that the matrix 1/3

7. Problem 3.4.6. Find a third column so that the matrix 1/3 1/14 2/14 1/3 -3/14 Q=1/3 is orthogonal. It must be a unit vector that is orthogonal to the other columns; how much freedom does this leave? Verify that the rows automatically become orthonormal at the same time.

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