Question: 3. Let A be an n x (n - 1) matrix with linearly independent columns, and be R with unit norm and such that A

3. Let A be an n x (n - 1) matrix with linearly independent columns, and be R" with unit norm and such that A b = 0. (a) (4 points) Show that the matrix [A b] is nonsingular with inverse [At] BT (b) (4 points) Let C be a left inverse of A. Show that [C(1 367)] [4 6] - [6 9] Show and justify all the intermediate steps. (c) (4 points) Using the previous parts show that C(I - bb]) = At

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