(a) Use a Givens reflection to transform the system to upper triangular form and then solve the upper triangular system. 21+x^2 213 1 -T^2 +3rb 2 ((7) 2x^2 -2'3
1
(b) Given
and b =
i) Use the Householder transformation to transform A into an upper triangular matrix R. 10 ( Apply the same transformation from part t to b, that is, compute
b1=HHb
((5) Solve Rx=b for and check your answer by computing the residual r=b-Ax (3)