Homework 2, due February 4, 2014
Homework 2
Linear Algebra, Dave Bayer, due February 4, 2014
Uni:
Name:
[1]
[2]
[3]
Total
If you need more that one page for a problem, clearly indicate on each page where to look next for
your work.
[1] Express A as a product of elementary matrices, where
1 7
A=
1 1
Homework 2, due February 4, 2014
[2] Find a system of equations having as solution set the following affine subspace of R4 .
 
 


w
1
0 3  x
 


  = 1 + 1 2 s
 y
0
2 1 t
z
1
3 0
Homework 2, due February 4, 2014
[3] Find the intersection of the following two affine subspaces of R4 .
 
 


w
3
1 1  x
 


  = 2 + 2 0 a
 y
1
1 0 b
z
1
0 1


 


w
2
1 0  x
 


  = 1 + 0 1 c
 y
1
1 0 d
z
3
3 0