Search for question

u_{1}+\ldots+\frac{y \cdot u_{p}}{u_{p} \cdot u_{p}} u_{p} \text { is itselt an orthogonal projection of } y \text { onto a subspace of } W \text { B. If an } n \times \text { p matrix } U \text { has orthonormal columns. then } U U^{T} x=x \text { for all } x \text { in } R^{n} C. The best approximation to y by elements of a subspace W is given by the vector y- projw (y). D. If y = 21 + z, where z, is in a subspace W and z2 is in W^1, then 2, must be the orthogonal projection of y onto W. E. Ir W is a subspace of R^n and if v is in both W and W, then v must be the zero vector.

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6

Fig: 7