Question: Let A- 2 -1 1 2 6 8 2 5 7 2 -2 0 3 36 a. (4 points) Find a full rank QR decomposition

Let A- 2 -1 1 2 6 8 2 5 7

Let A- 2 -1 1 2 6 8 2 5 7 2 -2 0 3 36 a. (4 points) Find a full rank QR decomposition of A, in which Q is 5 xr, R is rx 3, and r = rankA. b. (3 points) Find an orthonormal basis for the orthogonal complement of the column space of A. This basis will span the set of vectors x for which Atx=0. c. (1 points) Use the results above to form a partitioned QR factorization of A, in which is an orthogonal matrix whose two blocks are defined by the results from (a) and (b) above, and one of the blocks of R is a zero matrix

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