Unformatted text preview: ercise 6: 16 points (3 points + 13 points) ∞.
0, 1 and 1 with corresponding Find Consider the matrix a) Justify that the matrix A has a QR-decomposition.
b) Find the matrices Q and R of this decomposition. 3 .
3 Exercise 7:
(4 points for each question)
a) Find two distinct non-zero vectors u and v in R2, such that
0 for every weighted inner
product on R2.
b) Find two distinct non-zero vectors u and v in R2, such that
0 for any inner product on R2.
is an orthonormal basis of a real inner product space V. Show that for e...
View Full Document