- #1
mr_coffee
- 1,613
- 1
Hello everyone! I'm alittle confused, my professor found the Null space after some students didn't get how to do it, such as myself. Here is the image and problem:
http://img497.imageshack.us/img497/4161/lastscan9es.jpg
Thats the row reduced forum of the orginal matrix. The orginal matrix was:
-1 4 1
7 -9 0
10 3 -3
-9 1 2
he added a column of 0's so it wuold make it a square matrix, then he row reduced to get the matrix in the link.
I understand where the Null space of A is:
9/37
7/37
1
0
that makes sense to me, but then he adds in:
d =
0
0
0
1
why is that also a set of vectors in the Null space? d is just all 0's, how can he have a 1 also?
Then I'm lost on what I'm suppose to do to find the image space, you can see my work in the image above. What do i do after i set them equal to r,s,t,u? Thanks!
http://img497.imageshack.us/img497/4161/lastscan9es.jpg
Thats the row reduced forum of the orginal matrix. The orginal matrix was:
-1 4 1
7 -9 0
10 3 -3
-9 1 2
he added a column of 0's so it wuold make it a square matrix, then he row reduced to get the matrix in the link.
I understand where the Null space of A is:
9/37
7/37
1
0
that makes sense to me, but then he adds in:
d =
0
0
0
1
why is that also a set of vectors in the Null space? d is just all 0's, how can he have a 1 also?
Then I'm lost on what I'm suppose to do to find the image space, you can see my work in the image above. What do i do after i set them equal to r,s,t,u? Thanks!
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