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Using the Givens Rollup code, reduce A to a row echelon matrix R using Givens rotations

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

(a) Using the Givens Rollup code, reduce A to a row echelon matrix R using Givens rotations. Apply the same rotations to the right hand side vector b to get a new right hand side vector c. (b) Find the least squares solution x* to Ax b using the row echelon matrix R and new right hand side c you found in part (a) of this question. Do this bit by hand; the numbers should all be multiples of 10 and the solution x should be integer.

(c) Without doing any further calculation, what is the length of the residual vector b – Ax* ??

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