View the step-by-step solution to:

# Question (1) Find a basis and dimension of the subspace W of R4 generated by the vectors ( 1 , - 4 , - 2 , 1 ) , ( 1 , - 3 , - 1 , 2 ) , ( 3 , - 8 ,...

Question (1)
Find a basis and dimension of the subspace W of R4 generated by the vectors
( 1 , - 4 , - 2 , 1 ) , ( 1 , - 3 , - 1 , 2 ) , ( 3 , - 8 , - 2 , 7 ) .
Extend it to find the basis of R4
Question (2)
Determine a basis and the dimensions of the Subspace of M2(R) generated by the
2 by 2 Matrices [ 2  -10 ] ,  [ 3   3 ] ,  [ 2   -4 ] ,  [ 2   -14 ]
[ -8   4 ]    [ -3  15]    [ -5   7]     [ -10   2 ]
NOTE : For the full description of the question in mathematical font and format, please download the attached question file.

Question (1)
Find a basis and dimension of the subspace W of R4 generated by the
vectors
( 1 , â 4 , â 2 , 1 ) , ( 1 , â 3 , â 1 , 2 ) , ( 3 , â 8 ,
â 2 , 7 ) .
Extend it to find the basis of R4
Question (2):
Determine a basis and the dimensions of the Subspace of M2(R) generated
by the

### Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

### -

Educational Resources
• ### -

Study Documents

Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

Browse Documents