download soal

Matakuliah
Tahun
: Matrix Algebra for Statistics
: 2009
Projection
Pertemuan 10
Soal
1. S is spaned by vectors x1 = (1,2, 1,2)T.x2
=(2,3,1,2), x3 = (3,4, -1, 0)T, and X4 = (3,4,0, 1)T
Find the orthogonal projection of X = (1, 0, 0, 1)T
onto S
2. S is a vector subspace of R4 having the
projection matrix
Bina Nusantara University
3
S is a vector subspace of R4 having the
projection matrix
2. What is dimension of S
3. Find a basis for S
Bina Nusantara University
4