Explicitly build the Givens rotations that transform to upper triangular form. Use the product of the Givens matrices to compute You might want to use the MATLAB statements given in Problem 17.18....

Explicitly build the Givens rotations that transform

to upper triangular form. Use the product of the Givens matrices to compute

You might want to use the MATLAB statements given in Problem 17.18. Verify that the decomposition is correct by computing

₂. Also compute the decomposition using qr.