Page 508 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

(d)
,

Find the orthogonal projection of u onto the subspace of spanned by the vectors and .
4.

(a) ; ,

(b) ; ,

Find the orthogonal projection of u onto the subspace of spanned by the vectors , , and .
5.

(a) ; , ,

(b) ; , ,

Find the orthogonal projection of onto the solution space of the homogeneous linear system
6.

Use Formula 6 and the method of Example 3 to find the standard matrix for the orthogonal projection onto
7. onto

(a) the x-axis

(b) the y-axis

Note Compare your results to Table 4 of Section 4.2.
Use Formula 6 and the method of Example 3 to find the standard matrix for the orthogonal projection
8.

(a) the -plane

(b) the -plane

Note Compare your results to Table 5 of Section 4.2.